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A non-local damage approach for the boundary element method

机译：边界元法的非局部损伤法

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摘要

The conventional (local) constitutive modelling of materials exhibiting strain softening behaviour is susceptive to a spurious mesh dependence caused by numerically induced strain localization. Also, for refined meshes, numerical instabilities may be verified, mainly if the simulations are performed by the boundary element method. An alternative to overcome such difficulties is the adoption of the so called non-local constitutive models. In these approaches, some internal variables of the constitutive model in a single point are averaged considering its values of the neighbouring points. In this paper, the implicit formulation of the boundary element method for physically non-linear problems in solid mechanics is used with a non-local isotropic damage model and a very simple averaging scheme, over internal cells, is introduced. It is shown that the analysis become more stable in comparison to the case of a local application of the same model and that the results recover the desired objectiveness to mesh refinement. (C) 2018 Elsevier Inc. All rights reserved.
机译：表现出应变软化行为的材料的常规（局部）本构模型易受由数值诱导的应变局部化引起的虚假网格依赖的影响。同样，对于精制网格，主要是通过边界元素方法执行模拟时，可以验证数值不稳定性。克服这些困难的另一种方法是采用所谓的非局部本构模型。在这些方法中，本构模型在单个点上的一些内部变量会考虑其相邻点的值进行平均。在本文中，将固体力学中物理非线性问题的边界元方法的隐式公式与非局部各向同性损伤模型一起使用，并介绍了内部单元上非常简单的平均方案。结果表明，与局部应用同一模型相比，分析变得更加稳定，并且结果恢复了网格细化所需的客观性。 （C）2018 Elsevier Inc.保留所有权利。

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