Ppp1 Rubber Elasticity

Physical Properties of Polymers Muhammad Zafar Iqbal Lect-7 01-04-2008

Today ,[object Object],[object Object],[object Object],[object Object]

The Elasticity of Polymers ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The Kinetic Theory of High Elasticity ,[object Object],[object Object],[object Object],[object Object],If C 1 and C 2 are fixed, then C 3 can have three possible Positions on the circle and C 4 has 3 2 . Similarly if only C 1 is fixed then C 2 will have three possible Positions and C 3 will have 3 2 and C 4 will 3 3 Each separate position of the chain can be explained by a set of Cartesian coordinates or by polar coordinates with “r” as the characteric distance from the centre.

Configuration of a single Chain ,[object Object],[object Object],[object Object],[object Object]

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C-chain and Random Flight Model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Graphical Representation If “r” is the distance between the ends and a single direction in space then p(x,y,z) is the probability of a length “r “in a single direction i.e. p(r). We need only r-values not the p(r) but P(r) the probability in any direction.

[object Object],[object Object],[object Object],[object Object],Where r 2 = x 2 + y 2 + z 2 dx.dy.dz = 4.pi. R 2 . dr

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Ppp1 Rubber Elasticity

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Ppp1 Rubber Elasticity