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A phase-field formulation for dynamic cohesive fracture

机译：动态粘性骨折的相位场配方

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摘要

We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions. Two categories of degradation functions are examined, and a process to derive a given degradation function based on a local stress-strain response in the cohesive zone is presented. The resulting model is characterized by a linear elastic regime prior to the onset of damage, and controlled strain-softening thereafter. The governing equations are derived according to macro- and microforce balance theories, naturally accounting for the irreversible nature of the fracture process by introducing suitable constraints for the kinetics of the underlying microstructural changes. The model is complemented by an efficient staggered solution scheme based on an augmented Lagrangian method. Numerical examples demonstrate that the proposed model is a robust and effective method for simulating cohesive crack propagation, with particular emphasis on dynamic fracture. (C) 2019 Elsevier B.V. All rights reserved.
机译：我们扩展了一个相对抗骨折的相位场/梯度损伤配方，以便动态骨折。该模型的特征在于，在损伤场中是线性的正则裂缝能量，以及非多项式劣化功能。介绍了两类降解功能，并提出了一种基于粘性区中的局部应力应变响应的给定劣化函数的过程。所得到的模型的特征在于在损伤开始之前的线性弹性状态，然后受到控制的应变软化。根据宏观和微碎平的平衡理论来源的控制方程，通过对潜在的微观结构变化的动力学引入适当的约束来实现骨折过程的不可逆性质。该模型采用基于增强拉格朗日方法的高效交错解决方案方案补充。数值例证表明，该模型是模拟内聚裂纹繁殖的稳健有效的方法，特别强调动态骨折。 （c）2019 Elsevier B.v.保留所有权利。

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