| 基于虚功原理的弹性接触问题的线性互补方法 |
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| 引用本文： | 朱昌铭. 基于虚功原理的弹性接触问题的线性互补方法[J]. 力学学报, 1995, 27(2): 189-197. DOI: 10.6052/0459-1879-1995-2-1995-422 |
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| 作者姓名： | 朱昌铭 |
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| 作者单位： | 上海交通大学工程力学系 |
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| 摘 要： | 在将接触条件表为具有惩罚因子的线性互补形式后，本文详细推导了适用于弹性接触问题的虚功方程，在此基础上，结合有限元离散技术，简捷地导出了一种求解有摩擦弹性接触问题的线性互补方法；这种方法不必迭代，在无卸载时，只要一个增量步即可求得解答，计算效率较高，文末通过实例，说明了方法的正确性及有效性。
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| 关 键 词： | 摩擦接触 线性互补 有限元 弹性力学 |
A LINEAR COMPLEMENTARITY METHOD FOR ELASTIC CONTACT PROBLEMS BASED ON THE PRINCIPLE OF VIRTUAL WORK |
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| Zhu Changming. A LINEAR COMPLEMENTARITY METHOD FOR ELASTIC CONTACT PROBLEMS BASED ON THE PRINCIPLE OF VIRTUAL WORK[J]. chinese journal of theoretical and applied mechanics, 1995, 27(2): 189-197. DOI: 10.6052/0459-1879-1995-2-1995-422 |
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| Authors: | Zhu Changming |
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| Abstract: | In this paper,a linear complementary contact condition is first derived,and then,base on the principle of virtual work and FEM,a linear complementarity method for elastic problems with friction is proposed.This method can avoide the tiresome iteration procedure used in previous work,and if there is no unloading,only one incremental step is needed for a solution. An exemple is given to demonstrate tlie correctness and effectiveness of the method. |
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| Keywords: | frictional contact linear complementarity method FEM penalty |
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