应变能函数注记

A Note on Strain-energy Function

证明了应变能函数的客观性意味着 Cauchy应力张量的对称性 ,以及 Cauchy应力张量的客观性将包含应变能函数的客观性 ,从而也导致 Cauchy应力张量的对称性。

It is proved that frame indifference of strain energy founctions W (F)of a hyperelastic materical implies symmetry of Cauchy stress tensor T,and that frame indifference of T implies symmetry of T.