Repositorio de producción científica de la Universidad de Sevilla

Recent developments in the evaluation of the 3D fundamental solution and its derivatives for transversely isotropic elastic materials

Opened Access Recent developments in the evaluation of the 3D fundamental solution and its derivatives for transversely isotropic elastic materials
Estadísticas
Icon
Exportar a
Autor: Mantic, Vladislav
Távara Mendoza, Luis Arístides
Ortiz Tavara, Jhonny Edgar
París Carballo, Federico
Departamento: Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras
Fecha: 2012
Publicado en: Electronic Journal of Boundary Elements, 10 (1), 1-41.
Tipo de documento: Artículo
Resumen: Explicit closed-form real-variable expressions of a fundamental solution and its derivatives for three-dimensional problems in transversely linear elastic isotropic solids are presented. The expressions of the fundamental solution in displacements Uik and its derivatives, originated by a unit point force, are valid for any combination of material properties and for any orientation of the radius vector between the source and field points. An expression of Uik in terms of the Stroh eigenvalues on the oblique plane normal to the radius vector is used as starting point. Working from this expression of Uik, a new approach (based on the application of the rotational symmetry of the material) for deducing the first and second order derivative kernels, Uik,j and Uik,jℓ respectively, has been developed. The expressions of the fundamental solution and its derivatives do not suffer from the difficulties of some previous expressions, obtained by other authors in different ways, with co...
[Ver más]
Cita: Mantic, V., Távara Mendoza, L.A., Ortiz Tavara, J.E. y París Carballo, F. (2012). Recent developments in the evaluation of the 3D fundamental solution and its derivatives for transversely isotropic elastic materials. Electronic Journal of Boundary Elements, 10 (1), 1-41.
Tamaño: 10.69Mb
Formato: PDF

URI: https://hdl.handle.net/11441/72031

Ver versión del editor

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones