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Unique real‐variable expressions of displacement and traction fundamental solutions covering all transversely isotropic elastic materials for 3D BEM

Opened Access Unique real‐variable expressions of displacement and traction fundamental solutions covering all transversely isotropic elastic materials for 3D BEM

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Autor: Távara Mendoza, Luis Arístides
Ortiz Tavara, Jhonny Edgar
Mantic, Vladislav
París Carballo, Federico
Departamento: Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras
Fecha: 2008
Publicado en: International Journal for Numerical Methods in Engineering, 74 (5º), 776-798.
Tipo de documento: Artículo
Resumen: A general, efficient and robust boundary element method (BEM) formulation for the numerical solution of 9 three-dimensional linear elastic problems in transversely isotropic solids is developed in the present work. The BEM formulation is based on the closed-form real-variable expressions of the fundamental solution 11 in displacements Uik and in tractions Tik , originated by a unit point force, valid for any combination of material properties and for any orientation of the radius vector between the source and field points. 13 A compact expression of this kind for Uik was introduced by Ting and Lee (Q. J. Mech. Appl. Math. 1997; 50:407–426) in terms of the Stroh eigenvalues on the oblique plane normal to the radius vector. 15 Working from this expression of Uik , and after a revision of their final formula, a new approach (based on the application of the rotational symmetry of the material) for deducing the derivative kernel Uik, j 17 and the corresponding stress kernel i jk ...
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Cita: Távara Mendoza, L.A., Ortiz Tavara, J.E., Mantic, V. y París Carballo, F. (2008). Unique real‐variable expressions of displacement and traction fundamental solutions covering all transversely isotropic elastic materials for 3D BEM. International Journal for Numerical Methods in Engineering, 74 (5º), 776-798.
Tamaño: 1.066Mb
Formato: PDF

URI: https://hdl.handle.net/11441/72229

DOI: 10.1002/nme.2176

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