Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method
Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method
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DOI：
10.1155/2012/298903
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发表时间：
2012-05
影响因子：
--
通讯作者：
Xiaolin Li
中科院分区：
文献类型：
--
作者：
Xiaolin Li
本文结合杂交位移变分法和径向基点插值法，发展了一种求解二维和三维固体力学问题的真正无网格、只有边界的方法。在该方法中，边界条件可以直接和容易地应用。此外，它是真正的无网格，也就是说，它只需要在域的边界上生成的节点，而不需要任何元素，无论是变量插值或数值积分。数值算例表明了该方法的有效性。
Combining the hybrid displacement variational formulation and the radial basis point interpolation, a truly meshless and boundary-only method is developed in this paper for the numerical solution of solid mechanics problems in two and three dimensions. In this method, boundary conditions can be applied directly and easily. Besides, it is truly meshless, that is, it only requires nodes generated on the boundary of the domain, and does not require any element either for variable interpolation or for numerical integration. Some numerical examples are presented to demonstrate the efficiency of the method.