Abstract
The Mooney-Rivlin C2 term has not been based on any network structure. An affine deformation expressed as ratios (1/αx, 1/αy, 1/αz), where αx, αy, αz are the ratios of macroscopic dimensions to those for the undeformed specimen, is presented for changes in the vectorial lengths of some chains of a network involved in simple elongation, in considerations of network connectivity, and in some conditions regarding the directions of chain vectors at junction points. One expression for stored elastic free energy in unswollen rubber elastic bodies is statistically derived from the above affine deformation assumption. The derived expression is similar in form to the Mooney-Rivlin term. A relation between C1(entropy) and C2(entropy) is developed. It is inferred that hysteresis will involve the increase in C2(entropy) or the C2 term derived here. Some results in this paper are confirmed in light of several previous and present experimental results.
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