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MULTIFUNCTIONAL
 MATERIALS: SHOCK,
DURABILITY AND BLAST
    RESISTANCE

     PROFESSOR DAVID HUI
  UNIVERSITY OF NEW ORLEANS
OUTLINE
Background
University of New Orleans (UNO) work relates to developing three
functional properties in composite materials: (1) Energy
absorption (2) blast protection and (3) durability
UNO applied nanotechnology-based solutions through the
utilization of nanomaterials that dissipate a substantial fraction of
the shock/blast energy that is received
We analyzed the mechanisms
Experiments with nano-particle filled composites in linear impact
(Hopkinson Bar)
Experimented with CNT reinforced damping (Vibration)
Applied holography and laser vibrometry for experimental records
We have proven nanoparticle-based energy absorption
technology
Energy absorption was achieved by providing large energy sink
by sources for friction and slip-stick motion at interfaces of matrix
and nanoparticle.
BACKGROUND OF
UNO’S NANO-PARTICLE
 BASED COMPOSITES
RESEARCH FOR NAVY
WHAT US NAVY WANTS
FOR THE SHIPS?
 Lighter
 Stronger
 Faster
The above are the three mantras
 for the Navy’s R&D search for
 new materials
NEW MATEIALS SHOULD
ENABLE THE NAVY TO
HAVE SHIPS

      Quickly deployable
      Carry Larger Payloads
      Survive threats in high seas


  These would be possible if materials with
  specific property improvements are introduced
Navy’s new materials of the
future
    NANO-COMPOSITES
       In all their varieties as


           Smart
         Adaptive
        Multifuctional
             Etc
             Etc
MULTIFUNCTIONAL
MATERIALS
NAVY IS CHANGING
   NEW TECHNOLOGIES FOR NAVY
ALL VARIETIES OF COMPOSITES       Smart, Adaptive, Nano,
                                  Multifunctional, Graded
FRICTION STIR WELDING   Avoids HAZ

NEW HULL DESIGNS        Advanced composite Double Hull
(1998)
                        Double M Hull (2004)

NEW JOINT DESIGNS       Composite to Metal
Technology show case
                                          Swedish all-composite STEALTH ship – First in the world
                                            Max length possible with today’s technology : 209 ft
                                          Ships longer than 400 ft can not be built with composites
                                                         Because of lower stiffness




   New ship double hull concept
     New hybrid hull concept
    The bow and stern made of
Composite, the mid part stainless steel
     Metal-composite jointing
             is in issue
TECHNICAL DISCUSSIONS
           -BASICS-
    SOLID IMPACT ON A MULTI-LAYERED SOLID MEDIA
    1 dimensional problem :


                      FORCE F = PA                          V           v
  IMPACTOR VELOCITY         =V
  IMPACT ENERGY             = 0.5MV2                                    Particle velocity                =v
                                                           S
                                                                        Stress Pulse Energy              = cv
                                                                        (unidirectional stress wave propagation theory)
  IF IMPACTOR IS CYLINDRICAL SOLID                                      where:
  AND GAS PROPELLED, THEN                                                               = Density
  IMPACT ENERGY             = PAS                                       v               = particle velocity
  WHERE                                                                  c              = stress wave velocity = (E/ )0.5
  P            = PRESSURE                                               E               = Young’s modulus
  A            = AREA
                                                                                 F2
Note: Transformation of energy from low amplitude                                     F 2 >> F1
      force to high amplitude force to cause damage                                   t 2 << t 1
                                            IMPULSE = F1 t 1 = F2 t 2
                             F1
                                                                t                                             t
                                       t1                                   t2
IMPACT ---BASICS
                                                                        F2
    Note: Transformation of energy from low amplitude                        F 2 >> F1
          force to high amplitude force to cause damage                      t 2 << t 1
                                       IMPULSE = F1 t 1 = F2 t 2
                          F1
                                                           t                              t
                                  t1                               t2

        ENERGY OF THE IMPACTOR = (1/2)MV2
        ENERGY OF STRESS WAVE = [A/( C)]

                          (1/2)MV2 = [A/( C)]

The trick to make a structure to survive impact is to make the high
  amplitude F2 (stress) transform to low amplitude F1 so that the
 material’s strength is not exceeded. Modifying materials by using
    nanotechnology achieves it by dispersing the stress wave
                       amplitude very rapidly
Dutta-Tech
                               Multiple Impedance Pressure Bar (MIPB)


       MULTILAYER WAVE PROPAGATION – Increased Number
       Of Interfaces Cause Decrease in Propagating Stress Amplitude
                                          Impedance Z = ρc/g
                                                                                Steel
                           PC             AL             brass          steel   Strike
                                                                                  r



                                                                                         Light Gas
                                    Materials of different impedences                    Pressure
                          SG               SG             SG              SG




       SG = Strain Gage
Multiple layer shock
propagation problem
Dutta-Tech

                 DUTTA HYPOTHESIS
     FOR IMPEDANCE GRADIENT WHICH CONSIDERS
            INFINITE NUMBER OF LAYERS

                              Interface
                              Damage

             Multiple Plate
             Impedance
             Mismatched
             Barrier/Armor


             Impedance
             graded            No Interfaces
             Barrier/Armor
Dutta-Tech Impedance Effect Processing Model from
           Hopkinson Bar Test Data
                                                                                                                                                                                    Energy content of a stress wave pulse:
     Evaluate Attenuation by comparing wave amplitude                                                                                                                                                                Ac        t
                                                                                                                                                                                                                        ∫ σ dt
                                                                                                                                                                                                                                     2

     And wave energy in incident and in transmitted bar after
                                                                                                                                                                                    U ( Energy ) =                             0
                                                                                                                                                                                                                     E
     The wave has passed through the designed IMG material
                                                                                                                                                                           Where A is the rod area, c is the wave velocity
                                                                                                                                                                           E is the Young’s modulus, sigma is stress, and t is time

                                        INCIDENT WAVE AMPLITUDE                                                                                          INCIDENT WAVE ENERGY
                                            Stress waveforms in incident bar - test MIX-5B-Direct                                                                       Energy: stress square- t curve MIX 5B-Direct

                                                                                                                                                           50000000




                                                                                                                                                  s )
                                                                                                                                     s m s u re (p i^2
                                     6000
                                     4000                                                                                                                  40000000
                     Stress (psi)




                                     2000                 S(in)                                                                                            30000000




                                                                                                                                      ig a q a
                                        0
                                    -2000                    S(in)                                                                                         20000000
                                    -4000                                                                                                                  10000000
                                    -6000
                                    -8000                                                                                                                           0

                                            0      2000      4000    6000       8000   10000   12000   14000                                              -10000000 0        2000     4000   6000    8000    10000     12000       14000

                                                                     Tim (Seconds)
                                                                        e                                                                                                                    tim (seconds)
                                                                                                                                                                                                e




                                     TRANSMITTED WAVE AMPLITUDE                                                                             TRANSMITTED WAVE ENERGY
                                                          Transmitted stress wave                                                                                   Energy: stress square - t curve Mix 5B-Direct
                                                                  MIX 5B
                                                                                                               Sigm square (psi^2)


                                                                                                                                                         50000000
                                6000                                                                                                                     40000000
          Stress (psi)




                                4000
                                2000                                                                                                                     30000000
                                   0
                               -2000                                  Sin (t)                                                                            20000000
                                                                                                                   a




                               -4000                                                                                                                     10000000
                               -6000
                               -8000                                                                                                                            0
                                        0         2000      4000     6000     8000     10000   12000   14000                                             -10000000 0        2000     4000    6000     8000   10000      12000       14000
                                                                     Tim (seconds)
                                                                        e                                                                                                                    Tim (Seconds)
                                                                                                                                                                                                e




     Amplitude Attenuation : S(t)/S(in) = 53%                                                                                              Energy Attenuation : S(t)/S(in) = 28%
Nano-technology based
energy absorption/damping




  (After R.S.Lakes, Viscoelastic Solids, Boca Raton, FL, CRC Press)
WHY NANO-COMPOSITES?

Look at the Problems of Traditional Ship CarbonSteels:

       Corrosion
       Thermal and Electromagnetic Signature
       Construction by framing and sheathing and
               welding numerous parts with 100 yrs old designs
               Labor intensive
       Numerous Heat Affected Zones (HAZ) stress concentration
       HAZ’s readily corrdes and fail in fatigue
       Extensive coating is required
       Result: Higher building and maintenance costs
WHY NANO-COMPOSITES?
    Advantages with NANO-Composites:
    •     Higher strength-to-weight ratio
    •     Lower Magnetic Signature
    •     Lower Acoustic Signature
    •     Lower Hydrodynamic Signature
    •     Lower Thermal Signature
    •     Lower Radar Signature
    •     Lower maintenance cost
    •     Parts consolidation in fabrication
    •     Fatigue resistance and durable
    AND NOW NANO WILL MAKE
    THE MATERIALS MORE BLAST
    AND SHOCK RESISTANT
    •
LINEAR IMPACT STUDY OF
  A NANOCOMPOSITE IN
     HOPKINSON BAR
OBJECTIVE
Multi-walled carbon nanotube (MWCNT) in a
polymer is believed to modify the energy absorbing
haracteristics of the resulting nano polymer
composites.

Our objective here is to find out the efffects of
MWCNT contents on the dynamic mechanical
properties, including energy absorption
characteristics of the resulting Polymer
Nano-composites.
Materials

The materials were Fabricated at Univ of Mississippi

Fabrication
1. Mix different percentages of MWCNT in Nylon 6,6
2. Mold into a panel
3. Cure
4. Cut to lengths
Test Materials
Samples:
Hopkinson Bar Apparatus
                    Bars




                   Sample
Strain wave records from the two
bars
Governing Equations
                                t
             Avg strain = ∫ C the specimen =
                      u in ε dt
                            1       0 1
                                0




      t
u 2 = ∫ C0ε 2 dt
     t
      0
u1 = ∫ C0ε1dt
                   Avg stress in the specimen =
     0



      Avg strain rate in the specimen =

                            Energy Absorbed =



                    L = Specimen length
Results: Effects on peak stress
and Energy Absorption
Samples - permanent
deformation
STRAIN RATE = SLOPE
STRESS-STRAIN PLOTS




     0%                   5%                   10%

Effects of MWCNT % on the modulus (stress-strain slope)
Effect on Energy Absorption




0%          5%         10%
CONCLUSIONS
MWCNT Nylon composites are extremely tough.
They did not completely fracture under dynamic peak
stress of 170 MPa. Internal Damage Predicted from
permanent dimensional change.
Modes of failure need to be confirmed by SEM
MWCNT modified strength, stiffness and energy
absorption. Only after smaller addition the properties
improved significantly (20% approx). The reasons are
being investigated.
Nylon is thermoplastic and energy absorbent.
Additional work needed with thermoset composites
VIBRATIONAL ENERGY
ABSORPTION STUDY IN
CNT-FRP COMPOSITES
Nano-particle-reinforced energy
absorption:
 It involves placement of numerous nano
 particles
 During impact nanoparticles interact
 with internal matrix and with one
 another and thus dissipate energy
 through momentum transfer and friction
Parameters controlling energy
absorption in these materials
 Particle size
 Dispersion in matrix
 Shape
 Density
 Texture
 Coefficient of restitution
 Coefficient of friction
 Surface area and conditions
 Free space around the particles
 Strain rate
Microstructure of filled composite materials




Example of a typical syntactic foam composite material with a relatively
low volume fill of micro-spheres. The sphere “ringed” is approximately
                                 50µm
                                   µ
Mechanisms of shock and blast
        energy dissipation


      syntactic             homogenous material
        foam
     composite
      material                          K and G




representative          hydrostatic  shear load
   volume              pressure load
   Principle of homogenisation method for syntactic
                foam composite materials
Dispersion of lightweight spherical fillers



30 wt.% SiO 120µm microspheres (Optic. 50x)    5 wt.% SiO 1µm mesospheres (Optic. 50x)       5 wt.% SiO 10nm nanospheres ( Optic. 50x)




 30 wt.% SiO 120µm microspheres (500x)         Fractured surface of 5 wt.% SiO 1µm (2000x)   5 wt.% SiO 10nm nanospheres (2000x)




                                                                                                Better dispersion
Fractured surface of SiO microspheres (700x)   5 wt.% SiO 1µm mesospheres (8000x)
                                                                                                    of nanofillers
                                                                                             5 wt.% SiO 10nm nanospheres (20000x)
Properties of interphase layer                       Effective
                                                    thickness of
                                                     interphase
                                                        layer




Approaches to control the
  interphase layer
     Chemical dispersant /
     surfactant to achieve
     dispersion and effective
     thickness of the layer
     Electrostatic ultrasound   30nm thickness of
                                 interphase layer
                                    50-80 vol.%
     treatment                   concentration of
                                   nanoparticles


     High shear force mixing
     to prevent agglomeration
                                100nm thickness
     of nanoparticulates          of interphase
                                       layer
                                   10-30 vol.%
                                concentration of
                                 nanoparticles
Single-walled nanotube-epoxy
composite
Computationally performed
Pull out test
Composite Materials,
Experimental

 Samples manufactured manually by meltmixing
 nanotubes and polymer by extrusion process
 Investigated the effects of different orientations
 of carbon nanotubes (CNT)
 Applied multiple stress rates
 Viewed results by holography technique
 High strain rate was produced by Bruel and Kjaer
 (B&K) vibration system
 Energy absorption capacity was measured by
 damping capacity measurements
Nanotube-FRP Experimental
(Contd)
    CNT orientations were controlled by extrusion rate
    We measured : frequencies, mode shapes, and damping at each mode by
    the B&K laser vibrometry


                                                      Computer
                                                      System




                                                      Laser
                                                      vibrometer



Electro-                                          Clamped
dynamic                                           Sample
exciter
Density, kg/m3 (Temp.=25C)




                                            0
                                                200
                                                            400
                                                                         600
                                                                                       800
                                                                                                            1000
                                                                                                                                         1200
                                                                                                                                                                      1400
                    ep          IP
          40             ox          29
 20            w            y           0
      w         t.%             V
                               er




                                                                                                                                      1125
       t.%                        ifl
                       Si             e
 30         N             O
     w         i-c           ,5 x                                                                                                                   Pure
                   oa           00                                                                                                                 epoxy



                                                                                                                        1045
       t.%
                       te          µm
   20       N              d,
               i-c            12
       w           o             0µ                                                                                                    1136
         t.% ate
                                      m
   40          VS d, 1



                                                                                                     866
       w                        20
         t.% 550                   µm
               VS 0, 1

                                                                                                 828
        20           55         00
                                   µm
            w           00
                             ,1
               t.%
                                                                                          772
                                00
        40            D
 2          w           32         µm
   w                        ,1
                                                                                                                                                         Microscale




     t.% t.%                    20
          Ex D3                    µ
              pa 2, 1 m
                   nc           20
                       el
            5             , 1 µm
               w
                                                                                 740 726 740




                  t.% 0-4
                                 0µ
          10            Si
                            O         m
               w
                  t.%

                                                      300
                               1-
                                  5µ
           2.
              5
                        Si
                            O         m
                 w            1-
                                                                                                                                        1150




                    t.%          5µ
             5             Si         m
                 w           C
                                                                                                                                                1210




                    t.%         50
                                                                                                                                                         Mesoscale




          2.                        nm
             5            Si
                             C
                 w
                   t.%          50
                                                                                                                               1080




                                    nm
             5            Si
                             O
                 w
                                                                                                                          1060




                    t.%         15
          2.
             5            Si nm
                             O
                 w
                   t.%          15
                                    nm
             5            Si
                             O
                 w
                                                                                                                   1030 1010




                    t.%         10
2
  w                       Si nm
                             O
    t.% 7 w
                                                                                                                         1050




                    t.%         10
2        m                          nm
                                                                                                                                                         Nanoscale




  w         es            Si
                             O
    t.% oS
                                                                                                                 990




         m           iO         10
2                       ,8          nm
  w         es
    t.%         oS nm
                                                                                                           930




         m           iO          po
            es          ,4            r
               oA           nm e
                                                                                               790




                     lS          po
          2            i,             re
             w             8n
                t.%           m
                                                                                 730




          5           C          po
             w          N             re
                t.%         T
                              10
                                                                                      750




                      C          0n
                                                                                                                                                                             Density (weight) of foam composites




                        N             m
                            T
                              10
                                                                                 730




                                 0n
                                      m
                                                                               690
                                                                                                                                                        Carbon
                                                                                                                                                       Nanotubes
Loss factor, tan δ (Temp.=110C)




                                                                    0
                                                                               0.2
                                                                                                     0.4
                                                                                                                             0.6
                                                                                                                                          0.8
                                                                                                                                                                1
                                                                                                                                                                                        1.2
                                         ep         IP
                                  40          ox           29
                    20                 w        y               0
                              wt        t.%         V




                                                                        0.02
                                .%                      er
                                        Si           le    if
                    30      N              O
                     w         i- c           ,5 x                                                                                                                        Pure




                                                                                             0.3
                                                                                                                                                                         Resin
                       t.% oa                    00                                                                                                                      Epoxy
                                        te          µm
                   20       N               d,
                               i- c             12
                       w           o




                                                                                      0.26
                         t.% ate                   0µ
                                            d,        m




01/03/2010
                   40          VS               12
                       w




                                                                                              0.32
                         t.% 550                   0µ
                                            0,        m
                               VS              10




                                                                                       0.27
                        20           55            0µ
                            w            00           m
                               t.%            ,1




                                                                                                      0.38
                        40                       00
                                       D3
                 2                                   µm
                   wt wt.% 2, 1
                      .%
                                                                                                                                                                           Microscale




                                                                                              0.32
                                                 20
                          Ex D3                      µm
                              pa            2,



                                                                                                           0.4
                                   nc          12
                                        el         0
                            5              , 1 µm
                               wt              0-
                                   .%
                                                                                                   0.35
                                                  40
                          10             Si          µm
                               w             O
                                  t.%           1-

                                                                                     0.25
                                                   5µ
                           2.
                              5
                                         Si
                                             O        m
                                 w              1-
                                                                                                                  0.45




                                     t.%           5µ
                             5             Si         m
                                 w            C
                                                                                                           0.4




                                    t.%           50
                                                                                                                                                                           Mesoscale




                          2.                         nm
                             5             Si
                                              C
                                 w
                                                                                                   0.35




                                    t.%          50
                                                     nm
                             5             Si
                                              O
                                 w
                                                                                                      0.38




                                    t.%          15
                          2.
                             5




      Research Office
                                           Si nm
                                 w            O
                                                                                                           0.41




                                    t.%           15
                                                     nm
                             5             Si
                                              O
                                 w
                                                                                                                     0.48




                                    t.%          10


© The University of Sheffield /
                2
                  w          7             Si nm
                                              O
                    t.%          w
                                                                                                                                                0.8
                                                                                                                                                                                                    elevated temperature




                                    t.%           10
                2        m                           nm
                            e
                                                                                                                                                                           Nanoscale




                  w                        Si
                                              O
                                                                                                                                                                      1




                    t.% soS
                                      iO          10
                2        m               ,8          nm
                  w         es
                                oS           nm
                    t.%
                                                                                                                                                         0.9




                         m            iO           po
                            es           ,4           r
                               oA            nm e
                                                                                                                                                               0.95




                                      lS           po
                          2             i,            re
                             w              8n
                                t.%            m
                                                                                                                                                                  0.98




                          5            CN po
                                                      re
                             w
                                t.% T 1
                                                                                                                                                  0.83




                                                 00
                                       CN            nm
                                             T
                                                                                                                                                                                          Energy dissipation properties of foams at




                                                10
                                                                                                                                   0.65




                                                   0n
                                                      m
                                                                                                                            0.55
                                                                                                                                                                             Carbon
                                                                                                                                                                            Nanotubes
Damping prediction
                           9
                      10

       Modulus (Pa)        8
                      10


                           7
                      10


                           6
                      10

                      0.6                                                    A + glas s
                                            ____  SWCNT + polymer A
                                                                             A + poly
                                                                             B + glas s + poly
       Loss factor




                                            - - - MWCNT + polymer A
                      0.4                            CNT+ polymer B          B + poly
                                               - - CNT+ polymer A +
                                                    ceramics

                      0.2


                       0
                               0   20      40             60            80       100             120
                                                   Tem perature (° C)


Mechanical and damping and Properties at 10 Hz: 5wt% CNT-reinforced balloon-
                               BOUNDARY MESHLESS
 based foams. The peak damping occurs around 100°C for CNT-reinforced
                                FORMULATION FOR °
                                   polymer balloon-basedOF SOLIDS
                                           DEFORMATION syntactic                                       45
Strength of Syntactic Foams
Shock resistance of foam composite materials
Nanotube-FRP Experimental
(Contd)
 Resonant frequency was determined from the peaks of the frequency
 response curves
 Each mode shape was the characteristic of the specific NT-FRP
 A finite element model was used to determine displacements and stresses
 for each orientation of the CNT with respect to loading direction.



                               Vibration                     Vibration
                                 Load                          Load




  (a)                                  (b)                            (c)

 Nanoparticle orientation: (a) CNT along the load direction P, (b) chaotic   distribution
 of CNT, and (c) perpendicular CNT to the load direction.
Nanotube-FRP Experimental
(Contd)
 Modes of vibration of the NT-FRP samples by holography:




               a                       b                         c




              d                       e                          f


        CNT-reinforced samples, viewed by holography and in color
        computer imaging for different CNT orientations:
        (a) CNT along the load direction P, (b) chaotic distribution of CNT,
        and (c) perpendicular CNT to the load direction
Nanotube-FRP Experimental
Results
 Frequency was varied from 200 to 4000 Hz
 Twelve natural frequencies were identified
 Signals were noisy below 400 Hz
 Single matrix had better coherence than the CNT-FRP’s
 Variation between tests and finite element prediction of frequencies was within 10%
 Clamping conditions influence variations

                  Resonance Frequencies Obtained by Laser Vibrometry at Room Temperature

                                    ω, along CNT-                 ω, perpendicular
                     ω, Polymer
           Mode #                     reinforced      %, Diff.    CNT-reinforced     %, Diff.
                     matrix (Hz)
                                    polymer (Hz)                   polymer (Hz)
             1           186              112          39,8%            132          29.0%
             2           506              254          49.8%            411          18.8%
             3           860              544          36.7%            546          36.5%
             4          1206              856          29.0%            974          19.2%
             5          1,658            1,211         27,0%           1,346         18.8%
             6          1,924            1,612         16.2%           1,574         18.2%
             7          2,504            2,016         19.5%           2,182         12.9%
             8          2,934            2,123         27,6%           2,176         25.8%
             9          3,624            3,086         15.1%           3,560          1.8%
             10         3,918            3,134         20.0%           3,545          9.5%
ANALYSIS- Interphase layer model
                :
   Assumption The dissipated energy, via interfacial movement of
   nanotube and polymeric material, is linked with the local cohesion and
   adhesion phenomena between the filler/matrix interface.


Consider the equivalent shear force and the differential displacement
  between tube and matrix (after Koratkar et al 2002, and Odegard
  2004)


                                    η = Loss factor
                                    Udiss = Energy Dissipation
                                    r = radius of nanotube =10-100nm
                                    l2 = length of nanotube
ANALYSIS- Interphase layer model
                (Contd)

Strain between nanotube and matrix material (             2   ):




       Where
       R = radius of the representative volume V
       G = Shear modulus
       E eq = Equivalent modulus of nanotube = 2(l/t)Eg
       And
ANALYSIS- Interphase layer model
            (Contd)


Stress in composite materials is associated with
energy dissipation and is given by:
Comparison of damping
  behavior          Perpendicular CNT-
      Polymer     Along CNT-reinforced     reinforced polymeric
       matrix      polymeric material             material

Mo    Damping     Damping     Increase,   Damping      Increase,
de    factor, Q   factor, Q      %        factor, Q        %

1-2     339         543         60,2        412          21,5

3-4     811         1402        72,9        1253         54,5

5-6     1193        1616        35,5        1345         12,7

7-8     696         907         30,3        823          18,2
 9-
10      1783        2341        31,3        1896          6,3
Nanoindentation of blast-resistant
           materials
Sample preparation for
              nanoindentation
                                 Typical              microtomed
                                 nanocomposite           samples
                                 mounted on magnetic steel
                                 disks to hold the sample
                                 magnetically.
                                 Polishing of the microtomed
                                 section of sample is not
                                 desireable due to a risk of
                                 particle failure.
Notes to the rightside figure.
                                 Steel disk diameter 15mm.
 Heating stage used on the
 NanoIndenter. Samples are
 thin to control the surface
        temperature.
Samples are held by springs.
Size of heated plate approx.
Nanoindentation of multilayered and
nanomaterials at interphase




  Several samples mounted on standard stage;
  Area 15x15cm; height 0cm - 3cm; weight <10kg
Nanoindentation at statics




  Typical indentation load-displacement
curves for fibre, matrix and the transition                Variation of elastic modulus across the
region at a maximum indentation depth of                          matrix-interphase-fibre
                   60 nm
                                              Source: Jang-Kyo Kim, Man-Lung Sham. Composites, part A 32, 2001. 607 – 618
Surface topography of composite
materials




                                        SiO sphere-filled composite
                                         material sample; polymer
                                       matrix (epoxy) with dispersed
                                        inclusions (lightweight and
                                        stiff hollow SiO spheres) on
   Surface Topography at the filler-    left corner, improving blast
  matrix interphase point, showing a         resistance of matrix.
     step change in mechanical
    properties at the interphase;
Nanoindentation results
Modulus Mapping of blast-resistant materials
Prediction of Energy Dissipation at Impact
Stress




  Impact stress of centrally notched specimen was simulated by MSC.Visual Dytran/LS.Dyna for
                                          Windows XP.
Benefits of filled nanocomposites
1.Contains organically-treated, fillers that disperses evenly
throughout resin.
2.Reinforcement efficiency is achieved at low concentrations (3-
5%) that has a small cost in terms of specific gravity.
3.Stiffness comparable to a 20-30% load of a standard mineral
filled compound.
4.Vibration damping and heat resistance considerably increased
in nanocomposites.
5.Lower loading levels (2-8 wt.%) help maintain resin
transparency.
6.Available for injection molding, extrusion (sheet or film), and
blow molding.
7.Other benefits of nanocomposite include: lower gas
permeability, good surface appearance, dimensional stability,
and lower heat release.
Conclusions and general
remarks
 NT-FRP show a great promise of energy absorption as clear from
 the study of their damping characteristics
 The nano structure in which the polymers tend to form large-
 diameter helices around NT favors strong matrix bond
 Depending on orientations the NT increases or decreases the
 bond strength, fracture strength or damping by 10-20%
 More work is needed to characterize the effects of SWNT, MWNT,
 Fullerene, BN, or SiC nanotubes, dispersion and orientation
 effects,
 Multiscale vibration damping modeling needs to be refined
 Both computational and experimental benchmarks need to be
 improved
Refereed Journal Articles published with
respect to this work
1.    M. Kireitseu, G. Tomlinson, D. Hui, L. Bochkareva. Dynamics and Vibration Damping
     Behavior of Advanced Meso/Nanoparticle-Reinforced Composites. Journal of Mechanics of
     Advanced Materials and Structures, 14(8), 2007, 603-617.
2.   M. Kireitseu, D. Hui, G. Tomlinson. Advanced shock-resistant and vibration damping
     properties of nanoparticles-reinforced composite material, Jrnl. of Composites Part B 39(1),
     2008, 128-138.
3.   Lurie S, Hui D, Kireitseu M V, Zubov V, Tomlinson G R, Bochkareva L, Williams R A.
     “Computational Mechanics Modelling of Nanoparticle-Reinforced Composite Materials across
     the Length Scales”. Int. Journal of Computational Sc. and Engineering, 2 (3-4), 2006, pp.
     228-241.
4.   M. Kireitseu, V. Kompiš, D. Hui, G. Tomlinson, L. Bochkareva, S. Lurie. Modelling of Strength
     of Nanoparticle-Reinforced Materials and their Applications. Jrnl. of Science & Military, 2 (1),
     2006, 1-6.
5.   D. Hui, M. Kireitseu, G.R. Tomlinson, V. Kompis. Advanced Design Concepts and Modelling
     of Composite Materials in Emerging Applications. Advances in Science and Technology, 50,
     2006, pp. 124-130.
6.   M.V. Kireitseu, D. Hui, K.T. Lau, Viscoelastic behaviour and vibration damping properties of
     epoxy based composite filled with coiled carbon nanotubes, Journal of Nanomaterials,
     Hundawei Publ. House (submitted, August 2008)

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Onr (Italy) Review On Blast Resistance

  • 1. MULTIFUNCTIONAL MATERIALS: SHOCK, DURABILITY AND BLAST RESISTANCE PROFESSOR DAVID HUI UNIVERSITY OF NEW ORLEANS
  • 2. OUTLINE Background University of New Orleans (UNO) work relates to developing three functional properties in composite materials: (1) Energy absorption (2) blast protection and (3) durability UNO applied nanotechnology-based solutions through the utilization of nanomaterials that dissipate a substantial fraction of the shock/blast energy that is received We analyzed the mechanisms Experiments with nano-particle filled composites in linear impact (Hopkinson Bar) Experimented with CNT reinforced damping (Vibration) Applied holography and laser vibrometry for experimental records We have proven nanoparticle-based energy absorption technology Energy absorption was achieved by providing large energy sink by sources for friction and slip-stick motion at interfaces of matrix and nanoparticle.
  • 3. BACKGROUND OF UNO’S NANO-PARTICLE BASED COMPOSITES RESEARCH FOR NAVY
  • 4. WHAT US NAVY WANTS FOR THE SHIPS? Lighter Stronger Faster The above are the three mantras for the Navy’s R&D search for new materials
  • 5. NEW MATEIALS SHOULD ENABLE THE NAVY TO HAVE SHIPS Quickly deployable Carry Larger Payloads Survive threats in high seas These would be possible if materials with specific property improvements are introduced
  • 6. Navy’s new materials of the future NANO-COMPOSITES In all their varieties as Smart Adaptive Multifuctional Etc Etc
  • 8. NAVY IS CHANGING NEW TECHNOLOGIES FOR NAVY ALL VARIETIES OF COMPOSITES Smart, Adaptive, Nano, Multifunctional, Graded FRICTION STIR WELDING Avoids HAZ NEW HULL DESIGNS Advanced composite Double Hull (1998) Double M Hull (2004) NEW JOINT DESIGNS Composite to Metal
  • 9. Technology show case Swedish all-composite STEALTH ship – First in the world Max length possible with today’s technology : 209 ft Ships longer than 400 ft can not be built with composites Because of lower stiffness New ship double hull concept New hybrid hull concept The bow and stern made of Composite, the mid part stainless steel Metal-composite jointing is in issue
  • 10. TECHNICAL DISCUSSIONS -BASICS- SOLID IMPACT ON A MULTI-LAYERED SOLID MEDIA 1 dimensional problem : FORCE F = PA V v IMPACTOR VELOCITY =V IMPACT ENERGY = 0.5MV2 Particle velocity =v S Stress Pulse Energy = cv (unidirectional stress wave propagation theory) IF IMPACTOR IS CYLINDRICAL SOLID where: AND GAS PROPELLED, THEN = Density IMPACT ENERGY = PAS v = particle velocity WHERE c = stress wave velocity = (E/ )0.5 P = PRESSURE E = Young’s modulus A = AREA F2 Note: Transformation of energy from low amplitude F 2 >> F1 force to high amplitude force to cause damage t 2 << t 1 IMPULSE = F1 t 1 = F2 t 2 F1 t t t1 t2
  • 11. IMPACT ---BASICS F2 Note: Transformation of energy from low amplitude F 2 >> F1 force to high amplitude force to cause damage t 2 << t 1 IMPULSE = F1 t 1 = F2 t 2 F1 t t t1 t2 ENERGY OF THE IMPACTOR = (1/2)MV2 ENERGY OF STRESS WAVE = [A/( C)] (1/2)MV2 = [A/( C)] The trick to make a structure to survive impact is to make the high amplitude F2 (stress) transform to low amplitude F1 so that the material’s strength is not exceeded. Modifying materials by using nanotechnology achieves it by dispersing the stress wave amplitude very rapidly
  • 12. Dutta-Tech Multiple Impedance Pressure Bar (MIPB) MULTILAYER WAVE PROPAGATION – Increased Number Of Interfaces Cause Decrease in Propagating Stress Amplitude Impedance Z = ρc/g Steel PC AL brass steel Strike r Light Gas Materials of different impedences Pressure SG SG SG SG SG = Strain Gage
  • 14. Dutta-Tech DUTTA HYPOTHESIS FOR IMPEDANCE GRADIENT WHICH CONSIDERS INFINITE NUMBER OF LAYERS Interface Damage Multiple Plate Impedance Mismatched Barrier/Armor Impedance graded No Interfaces Barrier/Armor
  • 15. Dutta-Tech Impedance Effect Processing Model from Hopkinson Bar Test Data Energy content of a stress wave pulse: Evaluate Attenuation by comparing wave amplitude Ac t ∫ σ dt 2 And wave energy in incident and in transmitted bar after U ( Energy ) = 0 E The wave has passed through the designed IMG material Where A is the rod area, c is the wave velocity E is the Young’s modulus, sigma is stress, and t is time INCIDENT WAVE AMPLITUDE INCIDENT WAVE ENERGY Stress waveforms in incident bar - test MIX-5B-Direct Energy: stress square- t curve MIX 5B-Direct 50000000 s ) s m s u re (p i^2 6000 4000 40000000 Stress (psi) 2000 S(in) 30000000 ig a q a 0 -2000 S(in) 20000000 -4000 10000000 -6000 -8000 0 0 2000 4000 6000 8000 10000 12000 14000 -10000000 0 2000 4000 6000 8000 10000 12000 14000 Tim (Seconds) e tim (seconds) e TRANSMITTED WAVE AMPLITUDE TRANSMITTED WAVE ENERGY Transmitted stress wave Energy: stress square - t curve Mix 5B-Direct MIX 5B Sigm square (psi^2) 50000000 6000 40000000 Stress (psi) 4000 2000 30000000 0 -2000 Sin (t) 20000000 a -4000 10000000 -6000 -8000 0 0 2000 4000 6000 8000 10000 12000 14000 -10000000 0 2000 4000 6000 8000 10000 12000 14000 Tim (seconds) e Tim (Seconds) e Amplitude Attenuation : S(t)/S(in) = 53% Energy Attenuation : S(t)/S(in) = 28%
  • 16. Nano-technology based energy absorption/damping (After R.S.Lakes, Viscoelastic Solids, Boca Raton, FL, CRC Press)
  • 17. WHY NANO-COMPOSITES? Look at the Problems of Traditional Ship CarbonSteels: Corrosion Thermal and Electromagnetic Signature Construction by framing and sheathing and welding numerous parts with 100 yrs old designs Labor intensive Numerous Heat Affected Zones (HAZ) stress concentration HAZ’s readily corrdes and fail in fatigue Extensive coating is required Result: Higher building and maintenance costs
  • 18. WHY NANO-COMPOSITES? Advantages with NANO-Composites: • Higher strength-to-weight ratio • Lower Magnetic Signature • Lower Acoustic Signature • Lower Hydrodynamic Signature • Lower Thermal Signature • Lower Radar Signature • Lower maintenance cost • Parts consolidation in fabrication • Fatigue resistance and durable AND NOW NANO WILL MAKE THE MATERIALS MORE BLAST AND SHOCK RESISTANT •
  • 19. LINEAR IMPACT STUDY OF A NANOCOMPOSITE IN HOPKINSON BAR
  • 20. OBJECTIVE Multi-walled carbon nanotube (MWCNT) in a polymer is believed to modify the energy absorbing haracteristics of the resulting nano polymer composites. Our objective here is to find out the efffects of MWCNT contents on the dynamic mechanical properties, including energy absorption characteristics of the resulting Polymer Nano-composites.
  • 21. Materials The materials were Fabricated at Univ of Mississippi Fabrication 1. Mix different percentages of MWCNT in Nylon 6,6 2. Mold into a panel 3. Cure 4. Cut to lengths
  • 23. Hopkinson Bar Apparatus Bars Sample
  • 24. Strain wave records from the two bars
  • 25. Governing Equations t Avg strain = ∫ C the specimen = u in ε dt 1 0 1 0 t u 2 = ∫ C0ε 2 dt t 0 u1 = ∫ C0ε1dt Avg stress in the specimen = 0 Avg strain rate in the specimen = Energy Absorbed = L = Specimen length
  • 26. Results: Effects on peak stress and Energy Absorption
  • 28. STRAIN RATE = SLOPE
  • 29. STRESS-STRAIN PLOTS 0% 5% 10% Effects of MWCNT % on the modulus (stress-strain slope)
  • 30. Effect on Energy Absorption 0% 5% 10%
  • 31. CONCLUSIONS MWCNT Nylon composites are extremely tough. They did not completely fracture under dynamic peak stress of 170 MPa. Internal Damage Predicted from permanent dimensional change. Modes of failure need to be confirmed by SEM MWCNT modified strength, stiffness and energy absorption. Only after smaller addition the properties improved significantly (20% approx). The reasons are being investigated. Nylon is thermoplastic and energy absorbent. Additional work needed with thermoset composites
  • 32. VIBRATIONAL ENERGY ABSORPTION STUDY IN CNT-FRP COMPOSITES
  • 33. Nano-particle-reinforced energy absorption: It involves placement of numerous nano particles During impact nanoparticles interact with internal matrix and with one another and thus dissipate energy through momentum transfer and friction
  • 34. Parameters controlling energy absorption in these materials Particle size Dispersion in matrix Shape Density Texture Coefficient of restitution Coefficient of friction Surface area and conditions Free space around the particles Strain rate
  • 35. Microstructure of filled composite materials Example of a typical syntactic foam composite material with a relatively low volume fill of micro-spheres. The sphere “ringed” is approximately 50µm µ
  • 36. Mechanisms of shock and blast energy dissipation syntactic homogenous material foam composite material K and G representative hydrostatic shear load volume pressure load Principle of homogenisation method for syntactic foam composite materials
  • 37. Dispersion of lightweight spherical fillers 30 wt.% SiO 120µm microspheres (Optic. 50x) 5 wt.% SiO 1µm mesospheres (Optic. 50x) 5 wt.% SiO 10nm nanospheres ( Optic. 50x) 30 wt.% SiO 120µm microspheres (500x) Fractured surface of 5 wt.% SiO 1µm (2000x) 5 wt.% SiO 10nm nanospheres (2000x) Better dispersion Fractured surface of SiO microspheres (700x) 5 wt.% SiO 1µm mesospheres (8000x) of nanofillers 5 wt.% SiO 10nm nanospheres (20000x)
  • 38. Properties of interphase layer Effective thickness of interphase layer Approaches to control the interphase layer Chemical dispersant / surfactant to achieve dispersion and effective thickness of the layer Electrostatic ultrasound 30nm thickness of interphase layer 50-80 vol.% treatment concentration of nanoparticles High shear force mixing to prevent agglomeration 100nm thickness of nanoparticulates of interphase layer 10-30 vol.% concentration of nanoparticles
  • 41. Composite Materials, Experimental Samples manufactured manually by meltmixing nanotubes and polymer by extrusion process Investigated the effects of different orientations of carbon nanotubes (CNT) Applied multiple stress rates Viewed results by holography technique High strain rate was produced by Bruel and Kjaer (B&K) vibration system Energy absorption capacity was measured by damping capacity measurements
  • 42. Nanotube-FRP Experimental (Contd) CNT orientations were controlled by extrusion rate We measured : frequencies, mode shapes, and damping at each mode by the B&K laser vibrometry Computer System Laser vibrometer Electro- Clamped dynamic Sample exciter
  • 43. Density, kg/m3 (Temp.=25C) 0 200 400 600 800 1000 1200 1400 ep IP 40 ox 29 20 w y 0 w t.% V er 1125 t.% ifl Si e 30 N O w i-c ,5 x Pure oa 00 epoxy 1045 t.% te µm 20 N d, i-c 12 w o 0µ 1136 t.% ate m 40 VS d, 1 866 w 20 t.% 550 µm VS 0, 1 828 20 55 00 µm w 00 ,1 t.% 772 00 40 D 2 w 32 µm w ,1 Microscale t.% t.% 20 Ex D3 µ pa 2, 1 m nc 20 el 5 , 1 µm w 740 726 740 t.% 0-4 0µ 10 Si O m w t.% 300 1- 5µ 2. 5 Si O m w 1- 1150 t.% 5µ 5 Si m w C 1210 t.% 50 Mesoscale 2. nm 5 Si C w t.% 50 1080 nm 5 Si O w 1060 t.% 15 2. 5 Si nm O w t.% 15 nm 5 Si O w 1030 1010 t.% 10 2 w Si nm O t.% 7 w 1050 t.% 10 2 m nm Nanoscale w es Si O t.% oS 990 m iO 10 2 ,8 nm w es t.% oS nm 930 m iO po es ,4 r oA nm e 790 lS po 2 i, re w 8n t.% m 730 5 C po w N re t.% T 10 750 C 0n Density (weight) of foam composites N m T 10 730 0n m 690 Carbon Nanotubes
  • 44. Loss factor, tan δ (Temp.=110C) 0 0.2 0.4 0.6 0.8 1 1.2 ep IP 40 ox 29 20 w y 0 wt t.% V 0.02 .% er Si le if 30 N O w i- c ,5 x Pure 0.3 Resin t.% oa 00 Epoxy te µm 20 N d, i- c 12 w o 0.26 t.% ate 0µ d, m 01/03/2010 40 VS 12 w 0.32 t.% 550 0µ 0, m VS 10 0.27 20 55 0µ w 00 m t.% ,1 0.38 40 00 D3 2 µm wt wt.% 2, 1 .% Microscale 0.32 20 Ex D3 µm pa 2, 0.4 nc 12 el 0 5 , 1 µm wt 0- .% 0.35 40 10 Si µm w O t.% 1- 0.25 5µ 2. 5 Si O m w 1- 0.45 t.% 5µ 5 Si m w C 0.4 t.% 50 Mesoscale 2. nm 5 Si C w 0.35 t.% 50 nm 5 Si O w 0.38 t.% 15 2. 5 Research Office Si nm w O 0.41 t.% 15 nm 5 Si O w 0.48 t.% 10 © The University of Sheffield / 2 w 7 Si nm O t.% w 0.8 elevated temperature t.% 10 2 m nm e Nanoscale w Si O 1 t.% soS iO 10 2 m ,8 nm w es oS nm t.% 0.9 m iO po es ,4 r oA nm e 0.95 lS po 2 i, re w 8n t.% m 0.98 5 CN po re w t.% T 1 0.83 00 CN nm T Energy dissipation properties of foams at 10 0.65 0n m 0.55 Carbon Nanotubes
  • 45. Damping prediction 9 10 Modulus (Pa) 8 10 7 10 6 10 0.6 A + glas s ____ SWCNT + polymer A A + poly B + glas s + poly Loss factor - - - MWCNT + polymer A 0.4 CNT+ polymer B B + poly - - CNT+ polymer A + ceramics 0.2 0 0 20 40 60 80 100 120 Tem perature (° C) Mechanical and damping and Properties at 10 Hz: 5wt% CNT-reinforced balloon- BOUNDARY MESHLESS based foams. The peak damping occurs around 100°C for CNT-reinforced FORMULATION FOR ° polymer balloon-basedOF SOLIDS DEFORMATION syntactic 45
  • 47. Shock resistance of foam composite materials
  • 48. Nanotube-FRP Experimental (Contd) Resonant frequency was determined from the peaks of the frequency response curves Each mode shape was the characteristic of the specific NT-FRP A finite element model was used to determine displacements and stresses for each orientation of the CNT with respect to loading direction. Vibration Vibration Load Load (a) (b) (c) Nanoparticle orientation: (a) CNT along the load direction P, (b) chaotic distribution of CNT, and (c) perpendicular CNT to the load direction.
  • 49. Nanotube-FRP Experimental (Contd) Modes of vibration of the NT-FRP samples by holography: a b c d e f CNT-reinforced samples, viewed by holography and in color computer imaging for different CNT orientations: (a) CNT along the load direction P, (b) chaotic distribution of CNT, and (c) perpendicular CNT to the load direction
  • 50. Nanotube-FRP Experimental Results Frequency was varied from 200 to 4000 Hz Twelve natural frequencies were identified Signals were noisy below 400 Hz Single matrix had better coherence than the CNT-FRP’s Variation between tests and finite element prediction of frequencies was within 10% Clamping conditions influence variations Resonance Frequencies Obtained by Laser Vibrometry at Room Temperature ω, along CNT- ω, perpendicular ω, Polymer Mode # reinforced %, Diff. CNT-reinforced %, Diff. matrix (Hz) polymer (Hz) polymer (Hz) 1 186 112 39,8% 132 29.0% 2 506 254 49.8% 411 18.8% 3 860 544 36.7% 546 36.5% 4 1206 856 29.0% 974 19.2% 5 1,658 1,211 27,0% 1,346 18.8% 6 1,924 1,612 16.2% 1,574 18.2% 7 2,504 2,016 19.5% 2,182 12.9% 8 2,934 2,123 27,6% 2,176 25.8% 9 3,624 3,086 15.1% 3,560 1.8% 10 3,918 3,134 20.0% 3,545 9.5%
  • 51. ANALYSIS- Interphase layer model : Assumption The dissipated energy, via interfacial movement of nanotube and polymeric material, is linked with the local cohesion and adhesion phenomena between the filler/matrix interface. Consider the equivalent shear force and the differential displacement between tube and matrix (after Koratkar et al 2002, and Odegard 2004) η = Loss factor Udiss = Energy Dissipation r = radius of nanotube =10-100nm l2 = length of nanotube
  • 52. ANALYSIS- Interphase layer model (Contd) Strain between nanotube and matrix material ( 2 ): Where R = radius of the representative volume V G = Shear modulus E eq = Equivalent modulus of nanotube = 2(l/t)Eg And
  • 53. ANALYSIS- Interphase layer model (Contd) Stress in composite materials is associated with energy dissipation and is given by:
  • 54. Comparison of damping behavior Perpendicular CNT- Polymer Along CNT-reinforced reinforced polymeric matrix polymeric material material Mo Damping Damping Increase, Damping Increase, de factor, Q factor, Q % factor, Q % 1-2 339 543 60,2 412 21,5 3-4 811 1402 72,9 1253 54,5 5-6 1193 1616 35,5 1345 12,7 7-8 696 907 30,3 823 18,2 9- 10 1783 2341 31,3 1896 6,3
  • 56. Sample preparation for nanoindentation Typical microtomed nanocomposite samples mounted on magnetic steel disks to hold the sample magnetically. Polishing of the microtomed section of sample is not desireable due to a risk of particle failure. Notes to the rightside figure. Steel disk diameter 15mm. Heating stage used on the NanoIndenter. Samples are thin to control the surface temperature. Samples are held by springs. Size of heated plate approx.
  • 57. Nanoindentation of multilayered and nanomaterials at interphase Several samples mounted on standard stage; Area 15x15cm; height 0cm - 3cm; weight <10kg
  • 58. Nanoindentation at statics Typical indentation load-displacement curves for fibre, matrix and the transition Variation of elastic modulus across the region at a maximum indentation depth of matrix-interphase-fibre 60 nm Source: Jang-Kyo Kim, Man-Lung Sham. Composites, part A 32, 2001. 607 – 618
  • 59. Surface topography of composite materials SiO sphere-filled composite material sample; polymer matrix (epoxy) with dispersed inclusions (lightweight and stiff hollow SiO spheres) on Surface Topography at the filler- left corner, improving blast matrix interphase point, showing a resistance of matrix. step change in mechanical properties at the interphase;
  • 61. Modulus Mapping of blast-resistant materials
  • 62. Prediction of Energy Dissipation at Impact Stress Impact stress of centrally notched specimen was simulated by MSC.Visual Dytran/LS.Dyna for Windows XP.
  • 63. Benefits of filled nanocomposites 1.Contains organically-treated, fillers that disperses evenly throughout resin. 2.Reinforcement efficiency is achieved at low concentrations (3- 5%) that has a small cost in terms of specific gravity. 3.Stiffness comparable to a 20-30% load of a standard mineral filled compound. 4.Vibration damping and heat resistance considerably increased in nanocomposites. 5.Lower loading levels (2-8 wt.%) help maintain resin transparency. 6.Available for injection molding, extrusion (sheet or film), and blow molding. 7.Other benefits of nanocomposite include: lower gas permeability, good surface appearance, dimensional stability, and lower heat release.
  • 64. Conclusions and general remarks NT-FRP show a great promise of energy absorption as clear from the study of their damping characteristics The nano structure in which the polymers tend to form large- diameter helices around NT favors strong matrix bond Depending on orientations the NT increases or decreases the bond strength, fracture strength or damping by 10-20% More work is needed to characterize the effects of SWNT, MWNT, Fullerene, BN, or SiC nanotubes, dispersion and orientation effects, Multiscale vibration damping modeling needs to be refined Both computational and experimental benchmarks need to be improved
  • 65. Refereed Journal Articles published with respect to this work 1. M. Kireitseu, G. Tomlinson, D. Hui, L. Bochkareva. Dynamics and Vibration Damping Behavior of Advanced Meso/Nanoparticle-Reinforced Composites. Journal of Mechanics of Advanced Materials and Structures, 14(8), 2007, 603-617. 2. M. Kireitseu, D. Hui, G. Tomlinson. Advanced shock-resistant and vibration damping properties of nanoparticles-reinforced composite material, Jrnl. of Composites Part B 39(1), 2008, 128-138. 3. Lurie S, Hui D, Kireitseu M V, Zubov V, Tomlinson G R, Bochkareva L, Williams R A. “Computational Mechanics Modelling of Nanoparticle-Reinforced Composite Materials across the Length Scales”. Int. Journal of Computational Sc. and Engineering, 2 (3-4), 2006, pp. 228-241. 4. M. Kireitseu, V. Kompiš, D. Hui, G. Tomlinson, L. Bochkareva, S. Lurie. Modelling of Strength of Nanoparticle-Reinforced Materials and their Applications. Jrnl. of Science & Military, 2 (1), 2006, 1-6. 5. D. Hui, M. Kireitseu, G.R. Tomlinson, V. Kompis. Advanced Design Concepts and Modelling of Composite Materials in Emerging Applications. Advances in Science and Technology, 50, 2006, pp. 124-130. 6. M.V. Kireitseu, D. Hui, K.T. Lau, Viscoelastic behaviour and vibration damping properties of epoxy based composite filled with coiled carbon nanotubes, Journal of Nanomaterials, Hundawei Publ. House (submitted, August 2008)