| 弹性圆域的边界积分方程及若干解析解 |
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| 引用本文： | 袁宗中.弹性圆域的边界积分方程及若干解析解[J].广西大学学报(自然科学版),1987(2). |
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| 作者姓名： | 袁宗中 |
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| 作者单位： | 广西大学矿冶系 |
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| 摘 要： | 本文导出弹性圆域平面应变的虚荷边界积分方程以及应力与位移的积分表达式。由积分方程求得中间变量虚荷,再由虚荷求得应力与位移。文中用积分的方法求得若干解析解。某些重要的结果同时用边界元法求得数值解,并将解析结果与数值结果列成表格供比较。
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| 关 键 词： | 边界积分方程 解析解 虚荷 |
The Boundary Integral Equations and Some Analytical Solutions in Elastic Circular Region |
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| Yuan Zongzhong.The Boundary Integral Equations and Some Analytical Solutions in Elastic Circular Region[J].Journal of Guangxi University(Natural Science Edition),1987(2). |
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| Authors: | Yuan Zongzhong |
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| Institution: | Yuan Zongzhong |
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| Abstract: | The boundary integral equations of plane strain problem in which fictitious loads are unknown functions and integral expressions for stress and displacement in circular region are derived, Integrating these equations, some fictitious loads are obtained. As a result, the stresses and displacements can be calculated by formulae analytically and by boundary element method numerically. Some important results are listed in tabular form for comparison. |
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| Keywords: | Boundary integral equation Analytical solution Fictitious load |
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