Fictitious Domain Method in the Equilibrium Problem for a Timoshenko Type Plate Contacting with a Rigid Obstacle.

We consider the nonlinear equilibrium problem for a plate subject to the Signorini condition on a part of the boundary. We construct a family of auxiliary problems in extended domains such that solutions of the auxiliaries problems converge to a solution of the Signorini problem. Each problem of this family describes the equilibrium state of a plate containing a crack. A boundary nonpenetration condition in the form of an inequality is imposed on the crack. We also discuss the equivalent differential statement of the problem. Bibliography: 11 titles. Illustrations: 3 figures. [ABSTRACT FROM AUTHOR]