| 弹塑性平面问题的摄动应力边界单元法 |
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| 引用本文： | 陈广霞,左铁镛,肖景容. 弹塑性平面问题的摄动应力边界单元法[J]. 中南大学学报(自然科学版), 1993, 0(6) |
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| 作者姓名： | 陈广霞 左铁镛 肖景容 |
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| 摘 要： | 本文提出了弹塑性平面问题的摄动应力边界单元法。文中首先将平面弹塑性问题所涉及的所有方程和边界条件无量纲化,然后提出问题的小参数,利用摄动法将物理非线性问题转化为一系列的线性问题。针对转换后的线性问题用应力函数所表示的相容方程,在应力函数的基本解及调和算子基本解的基础上,建立问题的边界积分方程,最后离散求解获得了满意的结果。
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| 关 键 词： | 应力法 摄动基本解 摄动积分方程 |
PERTURBATIONAL BOUNDARY ELEMENT METHOD BASED ON STRESS FOR PLANT ELASTOPLASTIC PROBLEMS |
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| Abstract: | In this paper, the Perturbational Boundary Element Method based on stress for solvingplant elastoplastic problems is proposed. The basic equations of a plant elastoplastic prob-lems are changed into the non-dimentional equations. By using the non-dimentional equationsand the stress method, the perturbational foundament solutions and the perturbationalboundary integal equations are derived. It is suitable for stress boundary problems. The nu-merical results are obtained. |
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| Keywords: | the stress method perturbational foundamental solutions perturbational integal equations |
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