High-performance parallel simulation of structure degradation using non-local damage models
High-performance parallel simulation of structure degradation using non-local damage models
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DOI：
10.1002/nme.1937
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发表时间：
2007-07-16
影响因子：
2.9
通讯作者：
Gosselet, Pierre
中科院分区：
文献类型：
--
作者：
Germain, Norbert;Besson, Jacques;Gosselet, Pierre
当使用标准有限元离散化和牛顿-拉夫逊求解过程时，模拟金属或复合材料结构的损伤和失效常常失败。这些困难来自于损伤局部化引起的不受控制的网格依赖性、结构不稳定性和计算成本的增加。第一个问题可以通过使用非局部损伤本构方程和特定的有限元模型来克服。第二个问题可以用弧长法来解决，该方法可以管理不稳定性和骤回。它们是由受损材料的强度承载能力的损失引起的。最后，对整个计算方案进行了并行化。本文的主要贡献在于汇集了三种数值技术：非局部材料模型，试点和并行计算。由此产生的数值方案允许超越文献中经常遇到的过于简单的情况。它允许在二维和三维中进行具有高自由度的强大工业模拟，并深化了涉及大量模拟的研究。版权所有（C）2006约翰威利父子有限公司
Simulating damage and failure of metallic or composite structures often fails when using standard finite element discretizations and a Newton-Raphson solving procedure. The difficulties arise from an uncontrolled mesh dependency caused by damage localization, to structural instabilities and to an increase of computational costs. The first problem can be overcome by using non-local damage constitutive equations together with a specific finite element model. The second problem can then be solved with an arc-length method which manages instabilities and snap-backs. They are caused by the loss of strength-carrying capacity of the damaged material. Finally, the whole computational scheme is parallelized. The main contribution of this paper consists in bringing together the three numerical techniques: non-local material model; piloting and parallel computations. The resulting numerical scheme allows to go beyond the overly simplistic cases often encountered in the literature. It allows robust industrial simulations with a high number of degrees of freedom, both in two and three dimensions, and deepened studies involving a large number of simulations. Copyright (C) 2006 John Wiley & Sons, Ltd.