Comparing the conventional displacement BIE and the BIE formulations of the first andconceptual interaction in indirect directive second kind in frictionless contact problems
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 convention...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc681db750603269e802ce |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc681db750603269e802ce |
| Access Level: | acceso abierto |
| Palabra clave: | BIE of the second kind Boundary element method Boundary integral equations Contact problems Symmetric Galerkin BEM |
| Sumario: | 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. |
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