Weak formulation of axi-symmetric frictionless contact problems with boundary elements: Application to interface cracks
- Graciani, E. 1
- Mantič, V. 1
- París, F. 1
- Blázquez, A. 2
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1
Universidad de Sevilla
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2
Universidad de La Rioja
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ISSN: 0045-7949
Año de publicación: 2005
Volumen: 83
Número: 10-11 SPEC. ISS.
Páginas: 836-855
Tipo: Artículo
Otras publicaciones en: Computers and Structures
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.