Abstract
A constitutive equation is derived for the Cauchy stress matrix for arbitrary deformations of an isotropic elastic solid characterized by a Valanis-Landel strain-energy function. A simple example is given of the way in which results for controllable deformations of an incompressible elastic solid, with a Valanis-Landel strain-energy function, can be obtained from the known results for the more general strain-energy function employed by Rivlin.
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Rivlin, R.S. The Valanis-Landel Strain-Energy Function. Journal of Elasticity 73, 291–297 (2003). https://doi.org/10.1023/B:ELAS.0000029985.16755.4e
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DOI: https://doi.org/10.1023/B:ELAS.0000029985.16755.4e