Weak formulation of axi-symmetric frictionless contact problems with boundary elements: Application to interface cracks

  1. Graciani, E. 1
  2. Mantič, V. 1
  3. París, F. 1
  4. Blázquez, A. 2
  1. 1 Universidad de Sevilla
    info

    Universidad de Sevilla

    Sevilla, España

    ROR https://ror.org/03yxnpp24

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Computers and Structures

ISSN: 0045-7949

Año de publicación: 2005

Volumen: 83

Número: 10-11 SPEC. ISS.

Páginas: 836-855

Tipo: Artículo

DOI: 10.1016/J.COMPSTRUC.2004.09.011 SCOPUS: 2-s2.0-14044270722 WoS: WOS:000228234200014 GOOGLE SCHOLAR

Otras publicaciones en: Computers and Structures

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

A boundary element formulation of the axi-symmetric elastic problem, including contact conditions for multi-domain problems, is presented in this paper and applied to the analysis of interface cracks. A weak formulation of the equilibrium and compatibility equations has been developed to allow non-conforming discretizations to be used in the contacting boundaries. In order to obtain a high accuracy in the solution (employing continuous linear elements), the singular terms appearing in the axi-symmetric boundary integral equations have been integrated analytically. The numerical analysis of a penny-shaped crack at the interface of two dissimilar materials and of a fibre-matrix debonding crack in the single fibre fragmentation test is presented. © 2004 Elsevier Ltd. All rights reserved.