带有摩擦的单边接触大变形问题的研究(Ⅰ)——增量变分方程

尚勇; 陈至达

带有摩擦的单边接触大变形问题的研究(Ⅰ)——增量变分方程

尚勇,
陈至达

中国矿业大学北京研究生部

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出版历程
- 收稿日期: 1988-11-02
- 刊出日期: 1989-12-15

On Large Deformation Unilateral Contact Problem with Friction(Ⅰ)——Incremental Variational Equations

Beijing Graduate School, China University of Mining, Beijing

摘要

摘要: 本文以非线性连续体几何场论为基本理论和方法,建立了拖带坐标下弹塑性大变形增量变分方程的更一般表示式.给出了二维、三维连续体接触边界变化率公式,得到了变边界接触大变形增量变分公式和速率型变分不等式,为有限元计算求解带有摩擦弹塑性大变形接触问题提供了理论基础.

Abstract: Based on the theory and technique of nonlinear geometric field theory of continuum, a more general incremental variational equation for elastic and plastic large deformation in co-moving coordinate is established in this paper. An expression for two and three-ditnensicnal continua is derived, and the incremental variational equation for large deformation of changing boundary contact and the variational inequality in rate form tire obtained, which provides the theoretical basis for the computation of elastic-plastic large deformation contact problem with friction.

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参考文献(15)

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