Media type: E-Article Title: Modification of the boundary integral equation for the Navier–Lamé equations in 2D elastoplastic problems and its numerical solving Contributor: Zieniuk, Eugeniusz; Bołtuc, Agnieszka Published: Wiley, 2017 Published in: International Journal for Numerical Methods in Engineering, 110 (2017) 12, Seite 1173-1200 Language: English DOI: 10.1002/nme.5451 ISSN: 0029-5981; 1097-0207 Keywords: Applied Mathematics ; General Engineering ; Numerical Analysis Origination: Footnote: Description: <jats:title>Summary</jats:title><jats:p>The paper presents the generalization of the modification of classical boundary integral equation and obtaining parametric integral equation system for 2D elastoplastic problems. The modification was made to obtain such equations for which numerical solving does not require application of finite or boundary elements. This was achieved through the use of curves and surfaces for modeling introduced at the stage of analytical modification of the classic boundary integral equation. For approximation of plastic strains the Lagrange polynomials with various number and arrangement of interpolation nodes were used. Reliability of the modification was verified on examples with analytical solutions. Copyright © 2016 John Wiley & Sons, Ltd.</jats:p>