Abstrait

The Research on the solution of variational inequalities

Yu-Huan Cui, Jing-Guo Qu, Ya-Juan Hao

Firstly, this paper presents the origin and definition of variational inequalities, the existence and uniqueness of the solution; and then to the unilateral stability problems in the elastic plate theory as the background, to discuss second classes of four order variational inequality, reset equivalent and the equation boundary value problem. Finally, it provides the foundation for the four order variational inequality of the second kind is solved by boundary element method.