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。
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.
基金
国家自然科学基金
关键词
有摩擦
接触问题
非线性互补问题
虚功原理
variational inequalities/contact problem with friction
nonlinear complementarity problem
natural work principles with complementarity
energy principles with complementarity
