| 变分不等式法解弹塑性接触问题 |
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| 引用本文： | 欧阳晓宁,卓家寿.变分不等式法解弹塑性接触问题[J].河海大学学报(自然科学版),1989,17(1):92-100. |
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| 作者姓名： | 欧阳晓宁 卓家寿 |
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| 作者单位： | 南京水泥工业设计研究院，河海大学工程力学系 |
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| 摘 要： | 本文首次将变分不等式法引入弹塑性接触问题的分析,给出与接触问题微分方程提法相等价的变分不等式提法,并阐明其物理意义。本文在数值计算中采用混合坐标单元,用特殊处理后的罚法求变分不等式的数值解,在接触迭代过程中提出一种只需根据接触力进行判断的方法。计算成果是满意的,计算效率较高。
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| 关 键 词： | 变分 不等式 弹塑性 接触 |
Solving Elastoplastic Contact Problems with Variational Inequality Method |
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| Ouyang Xiaoning,Zhuo Jiashou.Solving Elastoplastic Contact Problems with Variational Inequality Method[J].Journal of Hohai University (Natural Sciences ),1989,17(1):92-100. |
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| Authors: | Ouyang Xiaoning Zhuo Jiashou |
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| Institution: | Ouyang Xiaoning;Zhuo Jiashou |
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| Abstract: | This paper introduces the method of variational inequality for solving elastoplastic contact problems,presents a variational inequality model which is equivalent to the differential equation model and explains its physical meaning.The mixed coordinate element is used in numerical colculation.The numerical solution of the variational inequality is obtained using a special penalty function method,and a contact criterion, which depends only on the contact force is proposed in the iterative procedure.The results of calculation is satisfactory and the calculation efficiency is good. |
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| Keywords: | variation inequality elastoplastic contact |
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