Abstract An extension of the phase field method to model interfacial damage in elastoplastic composites is proposed. In the matrix, an elastoplastic phase field is employed to model the fracture process. To introduce interfacial damage between inclusions and the matrix, a strain density function depending on the jump due to decohesion is added to the total energy. Smooth indicator functions are used to maintain the regularized character of the approximation. They weight the different terms in the energy with respect to the vicinity of interfaces. Then, the different problems (mechanical and phase field problems) are derived and an algorithmic procedure is described. Numerical examples show the capabilities of the method to handle initiation, propagation and interactions between both elastoplastic fracture and interfacial cracks in complex elastoplastic composite microstructures. It is also shown that the solutions are convergent with respect to the mesh refinement.

中文翻译：

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相场法的扩展以模拟弹塑性复合材料中界面损伤和脆性断裂之间的相互作用

摘要 提出了一种扩展相场方法来模拟弹塑性复合材料界面损伤的方法。在基体中，使用弹塑性相场来模拟断裂过程。为了在夹杂物和基体之间引入界面损伤，将取决于因脱聚引起的跳跃的应变密度函数添加到总能量中。平滑指标函数用于保持近似的正则化特征。它们对界面附近的不同能量项进行加权。然后，推导出不同的问题（机械和相场问题）并描述算法过程。数值示例显示了该方法处理启动的能力，复杂弹塑性复合材料微观结构中弹塑性断裂和界面裂纹之间的传播和相互作用。还表明，解决方案在网格细化方面是收敛的。