Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
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DOI：
10.1007/s004660050005
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发表时间：
2000-01
影响因子：
4.1
通讯作者：
J. Sládek;V. Sládek;S. Atluri
中科院分区：
文献类型：
--
作者：
J. Sládek;V. Sládek;S. Atluri
本文给出了具有非均匀材料性质的弹性体的局部边界积分公式。所有节点都被一个以配置点为中心的简单曲面包围。每个子域中只包含一个节点。在子域表面上，位移和牵引力矢量一般都是未知的。如果对控制方程选择一个在局部边界上为零的修正基本解，则牵引值从所有内点的局部边界积分方程中消除。对于每个子域，材料常数对应于子域中心配点处的材料常数。在数值分析中考虑了局部边界位移的无网格和多项式元近似。
This paper presents the local boundary integral formulation for an elastic body with nonhomogeneous material properties. All nodal points are surrounded by a simple surface centered at the collocation point. Only one nodal point is included in each the sub-domain. On the surface of the sub-domain, both displacements and traction vectors are unknown generally. If a modified fundamental solution, for governing equation, which vanishes on the local boundary is chosen, the traction value is eliminated from the local boundary integral equations for all interior points. For every sub-domain, the material constants correspond to those at the collocation point at the center of sub-domain. Meshless and polynomial element approximations of displacements on the local boundaries are considered in the numerical analysis.