On the dual variable of the Cauchy stress tensor in isotropic finite hyperelasticity
arXiv:0711.1479 · doi:10.1016/j.crme.2008.10.003
Abstract
If the constitutive law linking the second Piola-Kirchhoff stress tensor and the right Cauchy-Green strain tensor derives from a potential, then the Cauchy stress tensor and the logarithm of the left Cauchy-Green strain tensor are linked by a related potential. We give a new and concise proof which is based on an explicit formula expressing the derivative of the exponential of a tensor.
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