On the use of XFEM within the Arlequin framework for the simulation of crack propagation
On the use of XFEM within the Arlequin framework for the simulation of crack propagation
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DOI：
10.1016/j.cma.2009.11.014
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发表时间：
2010-04
影响因子：
7.2
通讯作者：
H. Dhia;O. Jamond
中科院分区：
文献类型：
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作者：
H. Dhia;O. Jamond
Arlequin方法是一种通用的数值方法，通过模型的局部叠加和耦合，可以解决多模型和多尺度力学问题。特别是，这种方法已经被用来叠加裂纹补丁健全的结构，减少这种方式的全球模拟资源的经典有限元方法将需要。在本文中，扩展有限元法的关键功能之一，即Ekaside富集功能，使用Arlequin框架内，以进一步降低裂纹扩展模拟的成本。本文的主要目标是描述所提出的方法，并通过数值实验来评估其性能。
The Arlequin method is a generic numerical method that allows, by local superposition and coupling of models, to address multimodel and multiscale mechanical problems. In particular, this method has already been used to super-impose cracked patches on sound structures, reducing this way the global simulation resources a classical finite element approach would have required. In this paper, one of the key features of the extended-finite element method, namely the heaviside enrichment function, is used within the Arlequin framework to further reduce the costs of crack propagation simulations. The main goal of the paper is to describe the proposed methodology and to assess its performance through numerical experiments.