2D elastoplastic boundary problems solved by PIES without strongly singular surface integrals

The paper presents the parametric integral equation system (PIES) without strongly singular surface integrals in elastoplastic boundary value problems. Plastic strains in PIES are approximated by interpolating polynomials and their derivatives instead of using the integral identity. Moreover, in the proposed method a boundary and a domain are not discretized by elements and cells, but are defined globally by the smallest number of curves and surfaces. Several examples are solved. The results are compared with exact values, numerical solutions obtained by other methods and also with PIES solutions obtained by the version with the singular integral identity. The results presented confirm the reliability and accuracy of the proposed approach. (C) 2017 Elsevier Masson SAS. All rights reserved.