A Galerkin boundary element formulation with dual reciprocity for elastodynamics
A Galerkin boundary element formulation with dual reciprocity for elastodynamics
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DOI：
10.1002/1097-0207(20000730)48:9
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发表时间：
2000-07
影响因子：
2.9
通讯作者：
J. J. Pérez-Gavilán-J.;M. Aliabadi
中科院分区：
文献类型：
--
作者：
J. J. Pérez-Gavilán-J.;M. Aliabadi
本文提出了一种求解二维弹性动力学问题的Galerkin边界积分方程方法。该公式利用静态基本解来加权动态平衡方程。根据Galerkin方法，方程再次用在未知量的离散化中使用的插值函数加权。对于数值积分，正则化过程被用来处理包含强奇异性的被积函数。在Galerkin公式的背景下，也提出了双互易方法转移域积分的边界的实施。最后，Hubolt积分方案用于时间推进过程。几个数值例子来证明该方法的准确性。版权所有© 2000约翰威利父子有限公司。
In this paper, a Galerkin boundary integral equation method for two-dimensional elastodynamic problems is presented. The formulation makes use of a static fundamental solution to weight the dynamic equilibrium equations. Following the Galerkin approach, the equations are weighted again with the interpolation functions used in the discretization of the unknowns. For the numerical integration, a regularization process is followed to deal with the integrands containing strong singularities. The implementation of the dual reciprocity method to transfer the domain integrals to the boundary is also presented in the context of the Galerkin formulation. Finally, the Hubolt integration scheme was used for the time-marching process. Several numerical examples are presented to demonstrate the accuracy of the method. Copyright © 2000 John Wiley & Sons, Ltd.