各向异性广义塑性力学的规范空间理论

首先基于规范空间固体力学框架,重塑了含有多重屈服面模型的广义塑性理论,研究了各向异性广义塑性力学的基本规律,包括模态屈服面、各向异性强化条件、增量型模态塑性流动方程以及各向异性塑性加卸载准则等,并由此得到了各向异性弹塑性动力学波动方程和静力学基本方程;然后,讨论了各向异性弹塑性波的传播性质,证明了各向异性弹塑性静力学也存在应力增量势函数;最后,讨论了各向异性弹塑性力学的具体结果。

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.