摩擦问题中的第二类MRM-边界混合变分不等式

MRM-boundary mixed variational inequality of the second kind in friction problem

以弹性力学中简化的摩擦问题为背景,采用MRM-方法(多重互易法)将该摩擦问题中的第二类混合变分不等式化解为MRM-边界变分不等式,给出了该变分不等式解的存在唯一性,为使用边界元方法解该类问题提供了理论依据.

We consider a simplified model of a two-dimensional unilateral contact problem with friction ,the existence and uniqueness of the corresponding variatoinal inequality of the second kind is disscussed.Its corresponding MRM-boundary mixed variational ineuqality is constructed ,which provide us the theoretical basis for using boundary element method to solve the mixed variational inequality.