A non-equilibrium thermodynamics model of viscoplasticity coupled with damage is presented. Keeping in view the experimentally observed failure mode transitions, e.g. brittle to ductile, under dynamic loading condition, the emphasis of the present work has been to endow the formulation with capability of modelling such transitions in a physically consistent manner. Within a framework of internal variables, the current formulation tracks the effect of isotropic viscoplasticity with accumulated plastic strain, and a scalar phase field variable traces the degradation of the material caused by either tensile cracking or shear induced failure. An explicit-implicit strategy is adopted for numerical implementation of the nonlinear formulation. A series of numerical simulations has been carried out on notched metallic specimen to demonstrate the predictive ability of the proposed model and to investigate the influence of several parameters in governing failure mode transition.

中文翻译：

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关于失效模式转变：有限应变下韧性和脆性断裂的相场辅助非平衡热力学模型

提出了粘塑性与损伤耦合的非平衡热力学模型。考虑到实验观察到的失效模式转变，例如在动态载荷条件下脆性到韧性，目前工作的重点是赋予公式以物理一致的方式模拟这种转变的能力。在内部变量的框架内，当前公式跟踪各向同性粘塑性与累积塑性应变的影响，标量相场变量跟踪由拉伸开裂或剪切引起的失效引起的材料降解。非线性公式的数值实现采用显隐策略。