Complex variable boundary element-free method for two-dimensional elastodynamic problems
Complex variable boundary element-free method for two-dimensional elastodynamic problems
复制标题
二维弹动力问题的复变量无边界元方法
DOI：
10.1016/j.cma.2009.08.020
复制
发表时间：
2009-11
影响因子：
7.2
通讯作者：
中科院分区：
文献类型：
--
作者：
基于复变移动最小二乘（CVMLS）逼近和无边界元法（BEFM），提出了一种新的直接无网格边界积分方程技术——复变无边界元法（CVBEFM）来研究二维弹性动力学问题。利用CVMLS近似，用一维基函数形成二维问题的试函数。CVMLS近似的试验函数中未知系数的数量少于移动最小二乘近似的试验函数。因此，由CVMLS近似形成的无网格方法比由MLS近似形成的无网格方法需要更少的节点，且精度不降低。利用拉普拉斯变换建立了二维弹性动力学边界积分方程，推导了二维弹性动力学问题的CVBEFM公式。CVBEFM是一种直接的数值方法，其中基本未知量是节点变量的实解。此外，在CVBEFM中，边界条件可以直接方便地应用，从而提高了计算精度。在本文中，我们选取了几个数值例子来说明CVBEFM的适用性。
We proposed a new direct meshless boundary integral equation technique – the complex variable boundary element-free method (CVBEFM) based on the complex variable moving least-squares (CVMLS) approximation and the boundary element-free method (BEFM), to study the two-dimensional elastodynamic problems. With the CVMLS approximation, the trial function of a two-dimensional problem is formed with a one-dimensional basis function. The number of unknown coefficients in the trial function of the CVMLS approximation is less than that in the trial function of the moving least-squares (MLS) approximation. Therefore it requires fewer nodes in the meshless method which formed from the CVMLS approximation than that formed from the MLS approximation with no lose of precision. The Laplace transform is used to formulate the boundary integral equations of the two-dimensional elastodynamics and then the formulae of the CVBEFM for two-dimensional elastodynamic problems are derived. The CVBEFM is a direct numerical method in which the basic unknown quantities are the real solutions of the nodal variables. Moreover in the CVBEFM, the boundary conditions can be applied directly and easily that leads to a greater computational precision. In this paper, we selected a few numerical examples to illustrate the applicability of the CVBEFM.
登录
查看更多内容
DOI：
10.1007/s11433-004-0027-y
发表时间：
2006-02
期刊：
Science in China Series G-Physics Mechanics & Astronomy
影响因子：
--
作者：
Cheng, YM;Li, JH
通讯作者：
Li, JH
影响因子：
4.1
作者：
S. Kitipornchai;K. Liew;Y. Cheng
通讯作者：
S. Kitipornchai;K. Liew;Y. Cheng
DOI：
10.1016/j.ijsolstr.2003.10.022
发表时间：
2004-03
影响因子：
3.6
作者：
K. Liew;X. L. Chen
通讯作者：
K. Liew;X. L. Chen
影响因子：
2.9
作者：
K. Liew;Yumin Cheng;S. Kitipornchai
通讯作者：
K. Liew;Yumin Cheng;S. Kitipornchai
影响因子：
2.9
作者：
K. Liew;Youcai Wu;G. Zou;T. Y. Ng
通讯作者：
K. Liew;Youcai Wu;G. Zou;T. Y. Ng