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

【摘要】 <正> 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.更多还原

【Abstract】 First of all, this paper gives Legendre transformation for the so-called partial corresponding variables of strain energy function and complementary strain energy function of the elastic materiel, and introduces the corresponding blending complementary strain energy function and blending strain energy fund ion Ski . 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.更多还原