An iterative penalty method for a nonlinear problem of equilibrium of a Timoshenko-type plate with a crack.

A variational problem of equilibrium of an elastic Timoshenko-type plate in a domain with a slit is considered. A nonpenetration boundary condition in the form of an inequality is specified on the edges of the slit. A penalized equation and an iterative linear equation in integral and differential forms are constructed. Some results on solution convergence and an error estimate are obtained. [ABSTRACT FROM AUTHOR]