PROJECTION-ITERATIVE SCHEMES FOR THE IMPLEMENTATION OF VARIATIONAL-GRID METHODS IN THE PROBLEMS OF ELASTOPLASTIC DEFORMATION OF INHOMOGENEOUS THIN-WALLED STRUCTURES

We present projection-iterative schemes for the realization of the variational-grid (finite-element and local- variation) methods aimed at the solution of various variational problems of mechanics for elastic and elastoplastic solids with inclusions and holes. By using the solutions of the problems of elastoplastic deformation of inhomogeneous isotropic plates and cylindrical shells with holes of various kinds as examples, we analyze the mutual influence of the holes and inclusions. We investigate the problem of convergence of the proposed schemes and demonstrate their efficiency from the viewpoint of reduction of the computer time required for their practical applications. Keywords: thin-walled structures, inhomogeneity, inclusions, holes, elastoplastic deformation, finiteelement method, method of local variations, projection-iterative schemes.