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半无限及含孔无限平面在各种边界条件下的复位势基本解*
引用本文:唐寿高,曹志远.半无限及含孔无限平面在各种边界条件下的复位势基本解*[J].应用数学和力学,1998,19(4):311-319.
作者姓名:唐寿高  曹志远
作者单位:同济大学工程力学与技术系, 上海 200092
基金项目:固体力学开放研究实验室项目
摘    要:运用Riemann-Schwarz对称原理和线弹性力学解的叠加原理建立了半无限平面及含孔无限平面在各种边界条件下基本解的一般求解方法,并分别导出边界上受不同荷载以及边界固定等各种边界条件下的复位势基本解。

关 键 词:基本解    Riemann-Schwarz对称原理    叠加原理
收稿时间:1996-05-24

Complex Fundamental Solutions for Semi_Infinite Plane and Infinite Plane with Hole under Various Boundary Conditions
Tang Shougao,Cao Zhiyuan.Complex Fundamental Solutions for Semi_Infinite Plane and Infinite Plane with Hole under Various Boundary Conditions[J].Applied Mathematics and Mechanics,1998,19(4):311-319.
Authors:Tang Shougao  Cao Zhiyuan
Institution:Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P. R. China
Abstract:A general method of finding the complex fundamental solutions for semi_infinite plane and infinite plane with hole under various boundary conditions has be established by using Riemann_Schwarz symmetric principle and superposition principle of the solutions of elasticity. More than ten solutions have been derived respectively.
Keywords:fundamental solution  Riemann_Schwarz symmetric principle  superposition principle
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