THE GENERALIZED VARIATIONAL PRINCIPLES ABOUT BLENDING ENERGY FORM OF NON-LINEAR ELASTICITY

First of all,this paper gives Legendre transformation for the so-called partialcorresponding variables of strain energy function ∑(E_(ij)) and complementary strainenergy function ∑~c(S_(ij))of the elastic material,and introduces the correspondingblending complementary strain energy function ∑~c_(kl) and blending strain energy function∑_(kl).Moreover,a series of generalized variational principles of the corresponding blendingenergy form of non-linear elasticity is given.As a special case,there exist correspondingresults in linear elasticity.