Abstract
Existing theories of the origin of the Mooney–Rivlin C2 term in rubber elasticity theory are briefly reviewed. The James–Guth model for the deformation of a rubber network is generalized in a consistent manner to allow for the statistical mechanism of the re-orientation of cross links. An explicit expression for the angular probability distribution of cross links is obtained for a somewhat simplified James–Guth model. The contribution of the re-orientation of cross links to the elastic modulus is calculated and found to be insignificant.
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