Mathematical and numerical modeling of junction problems for Timoshenko inclusions in elastic bodies Available to Purchase

The article deals with the junction problems for a thin elastic inclusion with thin rigid and semi-rigid inclusions in a two-dimensional elastic body. Differential and variational statements for the cases of delaminated thin inclusions are presented. We used the boundary conditions at the edges of the crack in the form of inequalities. The nonlinearity of the boundary conditions leads to the formulation of problems in the form of variational inequalities. Algorithms for the numerical solution of the problems posed have been developed. Examples of a computational experiment are given.