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MATHEMATICAL PROGRAMMING METHOD FOR ANALYSIS OF ELASTO-PLASTIC CONTACT PROBLEMS WITH FRICTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(3): 323-331. DOI: 10.6052/0459-1879-1991-3-1995-844
Citation: MATHEMATICAL PROGRAMMING METHOD FOR ANALYSIS OF ELASTO-PLASTIC CONTACT PROBLEMS WITH FRICTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(3): 323-331. DOI: 10.6052/0459-1879-1991-3-1995-844
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MATHEMATICAL PROGRAMMING METHOD FOR ANALYSIS OF ELASTO-PLASTIC CONTACT PROBLEMS WITH FRICTION

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    • Abstract
  • 本文提出摩擦接触弹塑性分析的数学规划法,是弹性接触问题解法的推广,使之能处理比例加载时的塑性效应。利用所导出接触问题总刚度阵的逆,结合参变量线性互补公式,仍可消去由接触单元而引入的惩罚因子。于是,可以获得一个弹塑性问题、弹性接触和弹塑性接触问题的有限元参数二次规划法模型。所选的几个实例说明了方法的实用性。
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