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Unified phase field model to simulate both intergranular and transgranular failure in polycrystalline aggregates

机译:统一的阶段场模型模拟多晶体聚集体中的晶间和跨晶发生故障

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In this work we develop a new phase field method for modeling fracture in polycrystalline materials. Many studies addressed this problem by combining cohesive models at the grain boundaries and damage models for the bulk. In this paper, a unified formulation is proposed in the phase field framework. Anisotropic failure is considered within the grain. Each of the preferential failure direction is associated with a damage variable. An additional damage variable is dedicated to the grain boundaries which are considered of finite thickness. Furthermore the value of the fracture energy at the grain boundaries is set depending on the local misorientation. The obtained model allows modeling competition and interactions between intergranular and transgranular fracture. The proposed model is illustrated through several numerical examples including crack initiation and propagation in polycrystalline aggregates.
机译:在这项工作中,我们开发了一种新的阶段现场方法,用于在多晶体材料中建模裂缝。 许多研究通过结合谷物边界和散装损坏模型的凝聚力模型来解决了这个问题。 在本文中,在相场框架中提出了统一的制剂。 在谷物中考虑各向异性衰竭。 每个优先失效方向与损伤变量相关联。 额外的损伤变量专用于考虑有限厚度的晶界。 此外,晶界处的裂缝能量的值根据局部错位而设定。 所获得的模型允许建模竞争和晶间骨折之间的相互作用。 所提出的模型通过若干数值示例说明,包括在多晶体聚集体中的裂纹启动和传播。

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