An elementary molecular-statistical basis for the Mooney and Rivlin-Saunders theories of rubber elasticity. (English) Zbl 1002.74012
J. Mech. Phys. Solids 50, No. 3, 571-582 (2002); errata ibid. 50, No. 10, 2235 (2002).
Summary: By relaxing the assumption that end-to-end vectors of molecules transform as macroscopic material line elements, we arrive at a generalization of molecular-statistical theory of rubber elasticity. This generalization includes as special cases continuum-mechanical theories proposed by Mooney and by Rivlin and Saunders as improvements upon the classical neo-Hookean theory.
MSC:
| 74B20 | Nonlinear elasticity |
| 74A25 | Molecular, statistical, and kinetic theories in solid mechanics |
| 82B21 | Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics |
Keywords:
Mooney theory; Rivlin-Saunders theory; end-to-end vectors of molecules; macroscopic material line elements; molecular-statistical theory; rubber elasticity; neo-Hookean theoryReferences:
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