关键词: 变分不等式, 非线性弹性理论, 广义变分原理, 接触问题, 逆问题, 有限变形

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.

Key words: content problem, Finite displacement, Generalized variational inequalities, Generalized variational prineiples, Inverse problem, Nonlinear elasticity