Elastoplastic boundary problems in PIES comparing to BEM and FEM

The main aim of the paper is the application of a global way of defining the domain and global integration over the domain to the process of numerical solving of elastoplastic problems by the parametric integral equations system (PIES). The paper presents mathematical formalism of PIES for elastoplastic boundary value problems and its numerical implementation. Two crucial elements of the numerical algorithm are: parametric surfaces used to define yield regions and 2D series applied to approximate solutions. Characteristics of PIES are presented in comparison with FEM and BEM. The paper consists of practical examples solved by PIES, whose results are confronted with other numerical, experimental and analytical solutions.