Comparing the conventional displacement BIE and the BIE formulations of the first andconceptual interaction in indirect directive second kind in frictionless contact problems

  1. Blázquez, A. 1
  2. Vodička, R. 2
  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

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Revista:
Engineering Analysis with Boundary Elements

ISSN: 0955-7997

Año de publicación: 2002

Volumen: 26

Número: 10

Páginas: 815-826

Tipo: Artículo

DOI: 10.1016/S0955-7997(02)00069-3 SCOPUS: 2-s2.0-0036888144 WoS: WOS:000179278500001 GOOGLE SCHOLAR

Otras publicaciones en: Engineering Analysis with Boundary Elements

Repositorio institucional: lock_openAcceso abierto Editor

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 using BEM. In this paper, a comparison between the following procedures: the conventional discretization of the displacement BIE by collocations, the Galerkin discretizations of the symmetric BIE formulation of the first kind and the non-symmetric BIE formulation of the second kind, is performed. Although several aspects of these procedures are discussed, the emphasis is put on the accuracy of the results obtained with identical meshes. The comparison is carried out including problems with analytical solutions or in the presence of singularities, covering conforming, advancing and receding contact problems. Linear elements, conforming discretizations of surfaces in contact and absence of friction define the frame where the study is performed. © 2002 Elsevier Science Ltd. All rights reserved.