| 弹性力学问题的第二类边界积分方程——边界元法及其二维基本解 |
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| 引用本文： | 刘光廷,林潮熙. 弹性力学问题的第二类边界积分方程——边界元法及其二维基本解[J]. 清华大学学报(自然科学版), 1988, 0(2) |
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| 作者姓名： | 刘光廷 林潮熙 |
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| 作者单位： | 清华大学水利工程系(刘光廷)，福州大学土木工程系(林潮熙) |
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| 摘 要： | 本文导出了以单位集中不连续位移（第二类边界）产生的场为基本解的两种边界积 分方程——直接法和间接法边界积分方程，按 Ｈａｄａｍａｒｄ主值存在，进行高阶奇异积 分并给出了二维问题的两个基本解，与通常的第一类直接法和间接法相比，第二类方法 对处理裂纹等不连续结构面较为有利。
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| 关 键 词： | 弹性力学 积分方程 边界元法 不连续位移 基本解 |
The Second Kind of Boundary Integral Equation --Boundary Element Method of Elastic Problem with its Two-dimensional Fundamental Solution |
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| Liu Guangting,Department-of Hydraulic Engineering,Tsinghua University Lin Chaoxi. The Second Kind of Boundary Integral Equation --Boundary Element Method of Elastic Problem with its Two-dimensional Fundamental Solution[J]. Journal of Tsinghua University(Science and Technology), 1988, 0(2) |
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| Authors: | Liu Guangting Department-of Hydraulic Engineering Tsinghua University Lin Chaoxi |
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| Affiliation: | Liu Guangting,Department-of Hydraulic Engineering,Tsinghua University Lin Chaoxi,Department of Civil Engineering,Fuzhou University |
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| Abstract: | In the present both of boundary integral equations by direct and indirect methods are given for the foundamental solutions of field produced by unit concentrated discontinued displacement (second kind). The singular integral of high order is solved under the existence of Hadamard main value, and two foundamental solutions of plane problem are given. In comparison with the first kind direct and indirect methods, the second kind method is more convenient in treating crack problems and discontinued structural plane. |
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| Keywords: | elasticity integral equation boundary element method discontinued displacement basic solution |
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