Research on the Companion Solution for a Thin Plate in the Meshless Local Boundary Integral Equation Method
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摘要: 无网格局部边界积分方程方法是最近发展起来的一种新的数值方法,这种方法综合了伽辽金有限元、边界元和无单元伽辽金法的优点,是一种具有广阔应用前景的、真正的无网格方法.把无网格局部边界积分方程方法应用于求解薄板问题,给出了薄板无网格局部边界积分方程方法所需要的友解及其全部公式.
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关键词:
- 薄板 /
- 友解 /
- 无网格局部边界积分方程方法
Abstract: The meshless local boundary integral equation method is a currently developed numerical method,which combines the advantageous features of Galerkin finite element method(GFEM),boundary element method(BEM) and element free Galerkin method(EFGVI),and is a truly meshless method possessing wide prospects in engineering applications. The companion solution and all the other formulas required in the meshless local boundary integral equation for a thin plate were presented,in order to make this method apply to solve the thin plate problem. -
[1] Zhu T, Zhang J D, Atluri S N. A local boundary integral equation(LBIE) method in computational mechanics, and a meshless discretization approach[J].Computational Mechanics,1998,21(2):223—235. doi: 10.1007/s004660050297 [2] 龙述尧,许敬晓. 弹性力学问题的局部边界积分方程方法[J].力学学报,2000,32(5):566—578. [3] 布瑞比亚,泰勒斯,诺贝尔.边界单元法的理论和工程应用[M].龙述尧,刘滕喜,蔡松柏 译.北京:国防工业出版社,1988.
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