Makar I. Construction of combined boundary element - finite element methods for modelling of deformation processes of heterogeneous structures

The thesis is devoted to construction and investigation of the combined boundary and finite element methods for elastic-plastic problems with local nonlinearities. Nonlinear material behavior has been modeled using von Mises flow theory of plasticity. The finite element method and the Newton-Raphson procedure have been used to solve nonlinear problem. Symmetric Galerkin boundary element method has been utilized in linear elastic subdomains. Coupling of both methods has been performed by iterative schemes of the domain decomposition method. Numerical experiments that have been carried out in present investigation demonstrate the operability and the effectiveness of proposed approach for solving elastic-plastic problems.