dc.creator | Mantic, Vladislav | es |
dc.creator | Távara Mendoza, Luis Arístides | es |
dc.creator | Ortiz Tavara, Jhonny Edgar | es |
dc.creator | París Carballo, Federico | es |
dc.date.accessioned | 2018-04-05T14:52:41Z | |
dc.date.available | 2018-04-05T14:52:41Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | 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. | |
dc.identifier.uri | https://hdl.handle.net/11441/72031 | |
dc.description.abstract | 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 complex valued functions appearing for some combinations of material
parameters and/or with division by zero for the radius vector at the rotational symmetry
axis. The expressions of Uik, Uik,j and Uik,jℓ are presented in a form suitable for an
efficient computational implementation in BEM codes. | es |
dc.description.sponsorship | Junta de Andalucía TEP-1207 | es |
dc.description.sponsorship | Junta de Andalucía TEP-2045 | es |
dc.description.sponsorship | Junta de Andalucía TEP-4051 | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación TRA2006-08077 | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación MAT2009-14022 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Electronic Journal of Boundary Elements, 10 (1), 1-41. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Transversely isotropic materials | es |
dc.subject | Stroh formalism | es |
dc.subject | Fundamental solution | es |
dc.title | Recent developments in the evaluation of the 3D fundamental solution and its derivatives for transversely isotropic elastic materials | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras | es |
dc.relation.projectID | TEP-1207 | es |
dc.relation.projectID | TEP-2045 | es |
dc.relation.projectID | TEP-4051 | es |
dc.relation.publisherversion | https://ejbe.libraries.rutgers.edu/index.php/ejbe/article/view/1116/2564 | es |
idus.format.extent | 41 p. | es |
dc.journaltitle | Electronic Journal of Boundary Elements | es |
dc.publication.volumen | 10 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 41 | es |
dc.identifier.sisius | 20147329 | es |