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摩擦约束有限变形非线性弹性广义变分不等原理的半反推法
SEMI-INVERSE METHOD OF GENERALIZED VARIATIONAL INEQUALITIES IN ELASTICITY WITH FINITE DISPLACEMENT AND FRICTION
【摘要】 研究了有限变形非线性弹性接触问题变分不等方程的逆问题 ,用半反推法成功地导出了变分不等问题的势能型能量泛函 ,并巧妙地处理了由于变分不等式引起的困难。
【Abstract】 The semi-inverse method, a new approach to develop generalized variational functional,is improved and first applied to the elastic contact problem with frictional forces of the Coulomb type and finite displacement successfully and the generalized variational functional is derived. The difficulty of the friction boundary condition is deal with by a ingenious method.
【关键词】 非线性弹性理论;
有限变形;
广义变分原理;
变分不等式;
接触问题;
逆问题;
【Key words】 Nonlinear elasticity Finite displacement Generalized variational principles Generalized variational inequalities Contact problem Inverse problem;
【Key words】 Nonlinear elasticity Finite displacement Generalized variational principles Generalized variational inequalities Contact problem Inverse problem;
【基金】 国家自然科学基金 ( 1976 2 0 0 2 );江西省自然科学基金资助项目
- 【文献出处】 机械工程学报 ,Chinese Journal of Mechanical Engineering , 编辑部邮箱 ,2001年08期
- 【分类号】O343.3
- 【被引频次】3
- 【下载频次】87