The generalized variational principles about blending energy form of non-linear elasticity

First of all, this paper gives Legendre transformation for the so-called partial corresponding variables of strain energy function (E_ij) and complementary strain energy function ^C(S_ij) of the elastic material, and introduces the corresponding blending complementary strain energy function _kl^c and blending strain energy function _kl. Moreover, a series of generalized variational principles of the corresponding blending energy form of non-linear elasticity is given. As a special case, there exist corresponding results^[1] in linear elasticity.