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Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids

 

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Opened Access Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
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Author: Criado, R.
Ortiz Tavara, Jhonny Edgar
Mantic, Vladislav
Gray, L. J.
París Carballo, Federico
Department: Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras
Date: 2007
Published in: Computer Modeling in Engineering & Sciences, 22 (2), 151-164.
Document type: Article
Abstract: 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
Cite: 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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URI: https://hdl.handle.net/11441/72025

DOI: 10.3970/cmes.2007.022.151

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