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 Σ(E_ij) and complementary strain energy function ∑^C(S_ij) of the elastic materiel, and introduces the corresponding blending complementary strain energy function ∑_kl^C and blending strain energy function Σ_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.