MESHLESS NATURAL NEIGHBOUR METHOD AND ITS APPLICATION IN ELASTO-PLASTIC PROBLEMS
MESHLESS NATURAL NEIGHBOUR METHOD AND ITS APPLICATION IN ELASTO-PLASTIC PROBLEMS
复制标题
无网格自然邻域法及其在弹塑性问题中的应用
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Y. Cai
中科院分区：
文献类型：
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作者：
H. Zhu;Y. Miao;Y. Cai
无网格自然邻域法（MNNM）是一种真正意义上的无网格方法，它不需要对整个域进行Delaunay镶嵌来构造拉普拉斯插值。同时避免了其他无网格方法中必要边界条件的设置、材料不连续点的处理和权函数的选择等困难。为了将MNNM应用于二维弹塑性问题的分析，得到了MNNM的弹塑性控制方程。数值结果表明，该理论和程序是准确有效的。
The meshless natural neighbour method (MNNM) is a truly meshless method, which does not need the Delaunay tessellation of the whole domain to construct the Laplace interpolation. At the same time, some difficulties in other meshless methods, such as the imposition of essential boundary conditions, the treatment of material discontinuities and the choice of weight functions are avoided. The governing equations of elasto-plastic for MNNM are obtained to apply the MNNM to the analysis of two-dimensional elasto-plastic problems. The numerical results indicate that the theory and programmes are accurate and effective.