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Phase-field modeling of anisotropic brittle fracture including several damage mechanisms

机译：各向异性脆性断裂的相场建模，包括几种破坏机理

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摘要

The present paper aims at modeling complex fracture phenomena where different damaging mechanisms are involved. For this purpose, the standard one-variable phase-field/gradient damage model, able to regularize Griffith's isotropic brittle fracture problem, is extended to describe different degradation mechanisms through several distinct damage variables. Associating with each damage variable a different dissipated fracture energy, the coupling between all mechanisms is achieved through the degradation of the elastic stiffness. The framework is very general and can be tailored to many situations where different fracture mechanisms are present as well as to model anisotropic fracture phenomena. In this first work, after a general presentation of the model, the attention is focused on a specific paradigmatic case, namely the brittle fracture problem of a 2D homogeneous orthotopic medium with two different damaging mechanisms with respect to the two orthogonal directions. Illustrative numerical applications consider propagation in mode I and II as well as kinking of cracks as a result of a transition between the two fracture mechanisms. It is shown that the proposed model and numerical implementation compares well with theoretical and experimental results, allowing to reproduce specific features of crack propagation in anisotropic materials whereas standard models using one damage variable seem unable to do so. (C) 2018 Elsevier B.V. All rights reserved.
机译：本文旨在对涉及不同破坏机制的复杂裂缝现象进行建模。为此，扩展了能够规范格里菲斯各向同性脆性断裂问题的标准单变量相场/梯度损伤模型，并通过几个不同的损伤变量来描述不同的降解机理。与每个损伤变量关联的是不同的耗散断裂能，所有机构之间的耦合都是通过降低弹性刚度来实现的。该框架非常通用，可以针对存在不同断裂机制的多种情况进行定制，并可以对各向异性断裂现象进行建模。在此第一篇工作中，在对模型进行总体介绍之后，我们将注意力集中在特定的范例案例上，即2D均质原位介质在两个正交方向上具有两种不同破坏机制的脆性断裂问题。说明性的数值应用考虑了由于两种断裂机制之间的过渡而在模式I和II中的传播以及裂纹的扭结。结果表明，所提出的模型和数值实现与理论和实验结果具有很好的对比，可以再现各向异性材料中裂纹扩展的特定特征，而使用一个损伤变量的标准模型似乎无法做到这一点。 （C）2018 Elsevier B.V.保留所有权利。

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