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- W4247789735 abstract "Abstract The kinetic theories of rubber elasticity which have been developed within recent years have grown out of one fundamental idea, namely that the elastic forces involved are due to the thermal motions of the molecules rather than to deformations of valence bonds and angles. In deriving theoretical equations of state for rubber, the usual procedure has been to connect entropy concepts with the probability functions for molecular shapes, assuming that molecules can have different shapes as a result of rotation about some of the valence bonds. Although the various authors started with substantially the same idea, their theories differed as to the way in which entropy changes were calculated. Recently, however, Treloar has shown that by eliminating certain approximations from Kuhn's treatment, then Kuhn's theory gives precisely the same result as does the theory of the present author. A basic postulate of the author's theory and of Kuhn's theory as amended by Treloar is that, when a piece of rubber is deformed, the components of the lengths of the molecules change in the same ratio as the corresponding dimensions of the rubber. To illustrate this specifically, let us consider a one-dimensional problem. If x is the component of the length of a molecule in the direction under consideration, then for a piece of unstrained rubber the probability of finding a molecule with a value of x in the range x to x+dx will be given by:" @default.
- W4247789735 created "2022-05-12" @default.
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- W4247789735 date "1944-06-01" @default.
- W4247789735 modified "2023-09-27" @default.
- W4247789735 title "Statistical Thermodynamics of Rubber. III" @default.
- W4247789735 doi "https://doi.org/10.5254/1.3546659" @default.
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