APPLICATION OF THE MIXED APPROXIMATION TO THE SOLUTION OF TWO-DIMENSIONAL PROBLEMS OF THE THEORY OF SMALL ELASTOPLASTIC STRAINS USING THE FINITE ELEMENT METHOD

摘要

A triangular finite element that provides the stability and convergence of the mixed approximation is used for the solution of two-dimensional boundary-value problems of the theory of small elastoplastic strains. A system of resolving matrix equations of a mixed type is presented for the solution of which a three-layer iteration algorithm with a preconditioning matrix is used. Numerical results for the solution of model problems obtained by the classical and combined finite element methods are compared.