Eigen theory of generalized plastic mechanics for anisotropic solids

Based on the eigen theory of solid mechanics under the standard spaces, the generalized plastic mechanics with multiple-yield-surface model is rebuilt; in which some fundamental laws of anisotropic plastic mechanics such as the anisotropic yield surface, anisotropic hardening condition, anisotropic plastic flow rule and anisotropic loading and unloading criterion, are studied and put into the form of formula. According to them, the wave equations and static equations for anisotropic elastoplastic body are obtained. It is proved that there exist the potential functions of stress increment for anisotropic elastoplastic statics. Finally, the propagation properties of anisotropic elastoplastic wave are discussed and a concrete example of anisotropic elastoplastic mechanics is presented.