Two-dimensional linear elasticity by the boundary node method
Two-dimensional linear elasticity by the boundary node method
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DOI：
10.1016/s0020-7683(97)00363-6
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发表时间：
1999-03
影响因子：
3.6
通讯作者：
V. S. Kothnur;S. Mukherjee;Y. Mukherjee
中科院分区：
文献类型：
--
作者：
V. S. Kothnur;S. Mukherjee;Y. Mukherjee
本文提出了二维线弹性边界节点法的进一步发展。本文将线性弹性的边界积分方程（BIE）与移动最小二乘法（MLS）插值相结合；该方法利用了MLS的无网格属性和BIE的维数优势。因此，BNM只需要物体边界面上的节点数据结构。为了进行数值积分，仅在边界上采用单元结构。此外，为了避免BNM（）在求解潜在问题时观察到的一些振荡，MLS插值在拐角处进行了适当的截断。本文给出的数值结果，包括lam<s:1>和Kirsch问题的解，都与解析解吻合得很好。
This paper presents a further development of the Boundary Node Method (BNM) for 2-D linear elasticity. In this work, the Boundary Integral Equations (BIE) for linear elasticity have been coupled with Moving Least Square (MLS) interpolants; this procedure exploits the mesh-less attributes of the MLS and the dimensionality advantages of the BIE. As a result, the BNM requires only a nodal data structure on the bounding surface of a body. A cell structure is employed only on the boundary in order to carry out numerical integration. In addition, the MLS interpolants have been suitably truncated at corners in order to avoid some of the oscillations observed while solving potential problems by the BNM () . Numerical results presented in this paper, including those for the solution of the Lamé and Kirsch problems, show good agreement with analytical solutions.