A new weight‐function enrichment in meshless methods for multiple cracks in linear elasticity
A new weight‐function enrichment in meshless methods for multiple cracks in linear elasticity
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DOI：
10.1002/nme.3313
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发表时间：
2012-04
影响因子：
2.9
通讯作者：
E. Barbieri;N. Petrinic;M. Meo;V. Tagarielli
中科院分区：
文献类型：
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作者：
E. Barbieri;N. Petrinic;M. Meo;V. Tagarielli
本文提出了一种新的无网格方法的丰富权函数，用于二维任意多裂纹问题的数值处理。主要的新奇在于修改的权重函数与内在的丰富，这是不连续的裂纹的有限长度，由一段表示，但连续的裂纹尖端周围。一个分析函数被用来引入不连续性，在一个简单的，乘法的方式被纳入内核。
A new enriched weight function for meshless methods is proposed for the numerical treatment of multiple arbitrary cracks in two dimensions. The main novelty consists in modifying the weight function with an intrinsic enrichment which is discontinuous over the finite length of the crack, represented by a segment, but continuous all around the crack tips. An analytical function is used to introduce discontinuities that are incorporated in the kernel in a simple, multiplicative manner.