Abstract A framework is developed for modeling ductile damage of nonlinear materials whose plastic deformation is characterized using rate independent classical plasticity. This method relies on the assumption that the free energy can be decomposed into elastic, plastic and damage parts. A thermodynamically consistent method is derived which satisfies the second law of thermodynamics in the Clausius-Duhem inequality form. The dissipation associated with plasticity takes place in the domain only, while damage dissipation is localized to the interface. The method is developed using Variational Multiscale ideas to obtain definitions of the interface fluxes within a primal formulation analogous to the Discontinuous Galerkin method, which ensures weakly vanishing interface gap prior to reaching a damage initiation criterion. The local nonlinear problem to calculate both plastic deformation gradient and damage variable follows an incremental approach similar to classical plasticity return mapping algorithm. This elastoplastic damage formulation is developed for material undergoing finite strain, and it naturally accommodates a trapezoidal traction separation law (TSL) whose shape can be varied to model either ductile interface behavior or brittle interface behavior. The formulation's performance is assessed through modeling a patch test and a compact tension specimen.

中文翻译：

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有限应变各向同性塑性的原始界面脱粘公式

摘要 开发了一种非线性材料的延性损伤建模框架，其塑性变形使用与速率无关的经典塑性来表征。该方法依赖于自由能可以分解为弹性、塑性和损伤部分的假设。推导出满足热力学第二定律的克劳修斯-杜恒不等式形式的热力学一致方法。与塑性相关的耗散仅发生在域中，而损伤耗散则局限于界面。该方法是使用变分多尺度思想开发的，以在类似于不连续伽辽金方法的原始公式中获得界面通量的定义，该方法确保在达到损伤起始标准之前微弱地消失界面间隙。计算塑性变形梯度和损伤变量的局部非线性问题遵循类似于经典塑性返回映射算法的增量方法。这种弹塑性损伤公式是为承受有限应变的材料开发的，它自然适用于梯形牵引分离定律 (TSL)，其形状可以变化以模拟延性界面行为或脆性界面行为。该配方的性能是通过对贴片测试和紧凑拉伸试样进行建模来评估的。并且它自然地适应梯形牵引分离定律 (TSL)，其形状可以变化以模拟韧性界面行为或脆性界面行为。该配方的性能是通过对贴片测试和紧凑拉伸试样进行建模来评估的。并且它自然地适应梯形牵引分离定律 (TSL)，其形状可以变化以模拟韧性界面行为或脆性界面行为。该配方的性能是通过对贴片测试和紧凑拉伸试样进行建模来评估的。