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Modification of the boundary integral equation for the Navier–Lamé equations in 2D elastoplastic problems and its numerical solving
Author(s) -
Zieniuk Eugeniusz,
Bołtuc Agnieszka
Publication year - 2017
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5451
Subject(s) - mathematics , integral equation , boundary (topology) , interpolation (computer graphics) , generalization , boundary value problem , mathematical analysis , parametric statistics , lagrange polynomial , computer science , animation , statistics , computer graphics (images) , polynomial
Summary 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.