A boundary element-free method (BEFM) for three-dimensional elasticity problems
A boundary element-free method (BEFM) for three-dimensional elasticity problems
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DOI：
10.1007/s00466-004-0638-1
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发表时间：
2005-01
影响因子：
4.1
通讯作者：
S. Kitipornchai;K. Liew;Y. Cheng
中科院分区：
文献类型：
--
作者：
S. Kitipornchai;K. Liew;Y. Cheng
本文将边界积分方程（BIE）方法与改进的移动最小二乘（IMLS）方法相结合，提出了一种直接的无网格边界积分方程方法--三维弹性力学的边界无单元法（BEFM）。基于改进的移动最小二乘近似和三维弹性力学的边界积分方程，给出了边界无单元法的计算公式，并给出了数值计算步骤。与其它无网格边界积分方程法不同，边界元法是一种直接数值方法，其基本未知量是节点变量的真实的解，边界条件可以直接应用，计算精度高。三个选定的数值例子来证明该方法。
This study combines the boundary integral equation (BIE) method and improved moving least-squares (IMLS) approximation to present a direct meshless boundary integral equation method, the boundary element-free method (BEFM) for three-dimensional elasticity. Based on the improved moving least-squares approximation and the boundary integral equation for three-dimensional elasticity, the formulae of the boundary element-free method are given, and the numerical procedure is also shown. Unlike other meshless boundary integral equation methods, the BEFM is a direct numerical method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily, thus giving it a greater computational precision. Three selected numerical examples are presented to demonstrate the method.