shakedown theorem under isotropic hardening is presented and proved in this paper. namely, shakedown state is always achievable for structure of isotropic hardening materials under cycling loads.
based on the thermodynamics of irreversible processes with state variables the fully coupled constitutive equations account for both the isotropic hardening and the ductile damage.
基于状态参量的不可逆热力学过程,完全耦合的本构方程考虑各向同性强化和拉深。
sheet metal material property is described by plastic anisotropy yielding model and isotropic hardening model.