An interpolating boundary element-free method (IBEFM) for elasticity problems
An interpolating boundary element-free method (IBEFM) for elasticity problems
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DOI：
10.1007/s11433-010-0159-1
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发表时间：
2010-04
期刊：
影响因子：
--
通讯作者：
Hongping Ren;Yumin Cheng;Wu Zhang
中科院分区：
文献类型：
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作者：
Hongping Ren;Yumin Cheng;Wu Zhang
本文首先讨论了插值移动最小二乘方法。然后对Lancaster给出的IMLS法的公式进行了修正。在无边界元法的基础上，将边界积分方程法与本文改进的IMLS法相结合，提出了二维弹性问题的插值无边界元法，并得到了二维弹性问题的插值无边界元法的相应公式。在本文的IMLS方法中，形状函数满足kronecker δ函数的性质，因此在IBEFM中可以直接方便地应用边界条件。该方法是一种以基本未知量为节点变量实解的直接无网格边界积分方程方法。因此，它提供了更高的计算精度。通过数值算例对该方法进行了验证。
The paper begins by discussing the interpolating moving least-squares (IMLS) method. Then the formulae of the IMLS method obtained by Lancaster are revised. On the basis of the boundary element-free method (BEFM), combining the boundary integral equation method with the IMLS method improved in this paper, the interpolating boundary element-free method (IBEFM) for two-dimensional elasticity problems is presented, and the corresponding formulae of the IBEFM for two-dimensional elasticity problems are obtained. In the IMLS method in this paper, the shape function satisfies the property of Kroneckerδfunction, and then in the IBEFM the boundary conditions can be applied directly and easily. The IBEFM is a direct meshless boundary integral equation method in which the basic unknown quantity is the real solution to the nodal variables. Thus it gives a greater computational precision. Numerical examples are presented to demonstrate the method.