| 圆柱体棒弹塑性挠度问题的点松弛法 |
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| 引用本文： | 赵万帅,徐玉民,陈一鸣,冯斌,李俊贤. 圆柱体棒弹塑性挠度问题的点松弛法[J]. 佳木斯大学学报, 2009, 27(5): 743-745 |
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| 作者姓名： | 赵万帅 徐玉民 陈一鸣 冯斌 李俊贤 |
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| 作者单位： | 燕山大学数学系; |
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| 基金项目： | 河北省自然科学基金(E2009000365) |
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| 摘 要： | 直接求解圆柱体棒弹塑性挠度问题的方程是很困难的,为此先将其转化成与之等价的变分不等式问题,接着运用点松弛法求解该变分问题,从而很好地解决了原问题.论文表明变分不等式在弹塑性挠度问题中有着广泛的应用.
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| 关 键 词： | 点松弛法 变分不等式 圆柱体棒弹塑性挠度问题 |
Point Relaxation Method of the Problem of the Elasto-plastic Torsion of a Cylindrical Bar |
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| ZHAO Wan-shuai,XU Yu-min,CHEN Yi-ming,FENG Bin,LI Jun-xian. Point Relaxation Method of the Problem of the Elasto-plastic Torsion of a Cylindrical Bar[J]. Journal of Jiamusi University(Natural Science Edition), 2009, 27(5): 743-745 |
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| Authors: | ZHAO Wan-shuai XU Yu-min CHEN Yi-ming FENG Bin LI Jun-xian |
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| Affiliation: | College of Sciences;Yanshan University;Qinhuangdao;Hebei 066004;China The project is supported by Hebei natural science Province |
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| Abstract: | It is difficult to solve the equation of the Elasto-plastic torsion of a cylindrical bar directly.Because of this,we turn it into the equivalent variational inequality problem.Then we solve this variational problem by point relaxation methods.So it solves the original problem very well.The paper shows the variational inequality is widely in the application of the elasto-plastic torsion problem. |
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| Keywords: | relaxation methods variational inequality problem of elastic-plastic torsion of a cylindrical bar |
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