This paper develops a unified phase field model for simulating finite deformation crack evolution and interfacial decohesion in multi-phase elastic materials. Crack propagation is formulated using a phase field model, in which the order parameter $$s=1$$ corresponds to the crack topology. The phase field model at the interface is enhanced with cohesive zone characteristics through a cohesive potential function. The interface displacement discontinuities are regularized using an auxiliary interface phase field order parameter. The cohesive potential is associated with this interface phase field for delineating interfacial decohesion. The model is numerically implemented using a multi-pass staggered solver. Numerical examples involving different failure mechanisms are simulated for examining the performance of the proposed model. Different failure mechanisms such as interfacial debonding, crack kinking and propagation in the brittle matrix, and their interactions are captured by the model. Limited verification tests are conducted with analytical results.

中文翻译：

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多相微观结构裂纹扩展的有限变形内聚区相场模型

本文开发了一个统一的相场模型，用于模拟多相弹性材料中的有限变形裂纹演化和界面脱聚。裂纹扩展是使用相场模型制定的，其中顺序参数 $$s=1$$ 对应于裂纹拓扑。界面处的相场模型通过内聚势函数增强了内聚区特性。界面位移不连续性使用辅助界面相场顺序参数进行正则化。内聚势与该界面相场相关，用于描绘界面脱聚。该模型是使用多通道交错求解器在数值上实现的。模拟涉及不同故障机制的数值示例，以检查所提出模型的性能。该模型捕获了不同的失效机制，如脆性基体中的界面脱粘、裂纹扭结和扩展，以及它们之间的相互作用。对分析结果进行了有限的验证测试。