| 陈万吉,陈国庆.接触问题的互补变分原理及非线性互补模型[J].计算力学学报,1996,13(2): |
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| 接触问题的互补变分原理及非线性互补模型 |
| Variational principles with complementarity for contact problems and nonlinear complementarity models |
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| DOI：10.7511/jslx19962023 |
| 中文关键词: 有摩擦接触问题,非线性互补问题,互补虚功原理,互补能量原理,变分不等式 |
| 英文关键词:variational inequalities/contact problem with friction,nonlinear complementarity problem,natural work principles with complementarity,energy principles with complementarity |
| 基金项目:国家自然科学基金 |
| 陈万吉 陈国庆 |
| 大连理工大学工程力学研究所，大连理工大学工程力学研究所 大连 116023，大连 116023 |
| 摘要点击次数: 1201 |
| 全文下载次数: 1 |
| 中文摘要: |
| 给出了接触问题的互补虚功原理,互补能量原理及变分不等式等变分提法,并讨论了三类提法的关系。其此建立了有限维非线性互补模型并给出解的存在唯一性定理。文中还阐明了有,无摩擦接触问题之间以及二维和三维有摩擦接触问题之间的本质区别。 |
| 英文摘要: |
| The natural work principles with complementarity, energy principles with complemple-mentarity and variational inequalities for comtact problems and relations of those principles are investigated. The existence and uniqueness of the solution to the finite dimensional models are proved. Essential differences between the contact problems with friction and without friction and between two dimensional and three dimensional contact problems with friction are discussed. |
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