Artículo
Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
Autor/es | Criado, R.
Ortiz Tavara, Jhonny Edgar Mantic, Vladislav Gray, L. J. París Carballo, Federico |
Departamento | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras |
Fecha de publicación | 2007 |
Fecha de depósito | 2018-04-05 |
Publicado en |
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Resumen | A numerical implementation of the
Somigliana identity in displacements for the solution
of 3D elastic problems in exponentially
graded isotropic solids is presented. An expression
for the fundamental solution in ... A numerical implementation of the Somigliana identity in displacements for the solution of 3D elastic problems in exponentially graded isotropic solids is presented. An expression for the fundamental solution in displacements, Uj , was deduced by Martin et al. (Proc. R. Soc. Lond. A, 458, pp. 1931–1947, 2002). This expression was recently corrected and implemented in a Galerkin indirect 3D BEM code by Criado et al. (Int. J. Numer. Meth. Engng., 2008). Starting from this expression of Uj , a new expression for the fundamental solution in tractions Tj has been deduced in the present work. These quite complex expressions of the integral kernels Uj and Tj have been implemented in a collocational direct 3D BEM code. The numerical results obtained for 3D problems with known analytic solutions verify that the new expression for Tj is correct. Excellent accuracy is obtained with very coarse boundary element meshes, even for a relatively |
Agencias financiadoras | Ministerio de Educación, Cultura y Deporte (MECD). España Ministerio de Ciencia y Tecnología (MCYT). España |
Identificador del proyecto | SAB2003-0088
MAT2003-03315 |
Cita | Criado, R., Ortiz Tavara, J.E., Mantic, V., Gray, L.J. y París Carballo, F. (2007). Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids. Computer Modeling in Engineering & Sciences, 22 (2), 151-164. |
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