Comparing the conventional displacement, first-kind and second-kind BIEs in frictionless contact problems

  1. Vodička, R. 2
  2. Blázquez, A. 1
  3. París, F. 3
  4. Mantič, V. 3
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Technical University of Košice
    info

    Technical University of Košice

    Košice, Eslovaquia

    ROR https://ror.org/05xm08015

  3. 3 Universidad de Sevilla
    info

    Universidad de Sevilla

    Sevilla, España

    ROR https://ror.org/03yxnpp24

Mostrar afiliaciones +
Libro:
Boundary elements XXIV / editors C.A. Brebbia, A. Tadeu, V. Popov.

Editorial: WIT Press

ISBN: 1853129143

Año de publicación: 2002

Volumen: 13

Páginas: 637-646

Tipo: Capítulo de Libro

SCOPUS: 2-s2.0-2942722471 WoS: WOS:000178284900059 GOOGLE SCHOLAR

Resumen

There are several formulations of Boundary Integral Equations (BIEs) used in the general numerical procedure known as Boundary Element Method (BEM). There are also several approaches to deal with contact problems in BEM. In this paper a comparison between several procedures: conventional discretization of the displacement BIE by collocations, Galerkin discretizations of the symmetric BIE of the first kind and the non-symmetric BIE of the second kind, is performed. Although several aspects of these procedures are discussed, the emphasis is placed on the accuracy of the results obtained with identical meshes. The comparison is carried out including problems with analytical solutions or in presence of singularities, covering conforming, advancing and receding contact problems. Linear elements, conforming discretizations of surfaces in contact and frictionless case define the frame in which the study is performed.