Mostra el registre d'ítem simple
Lord–Shulman thermoelasticity with microtemperatures
dc.contributor.author | Bazarra, Noelia |
dc.contributor.author | Fernández, José Ramón |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-06-10T11:23:21Z |
dc.date.available | 2021-06-06T00:26:53Z |
dc.date.issued | 2021-10 |
dc.identifier.citation | Bazarra, N.; Fernández, J.; Quintanilla, R. Lord–Shulman thermoelasticity with microtemperatures. "Applied mathematics and optimization", Octubre 2021, vol. 84, p. 1667–1685. |
dc.identifier.issn | 0095-4616 |
dc.identifier.uri | http://hdl.handle.net/2117/190447 |
dc.description.abstract | In this paper we consider the Lord–Shulman thermoelastic theory with porosity and microtemperatures. The new aspect we propose here is to introduce a relaxation param- eter in the microtemperatures. Then we obtain an existence theorem for the solutions. In the case that a certain symmetry is satisfied by the constitutive tensors, we prove that the semigroup is dissipative. In fact, an exponential decay of solutions can be shown for the one-dimensional case. In the last section, we restrict our attention to the case where we have an isotropic and homogeneous material without porosity effects and assuming that two of the constitutive parameters have the same sign. We see that the semigroup is dissipative. |
dc.format.extent | 19 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Thermoelasticity |
dc.subject.other | Thermoelasticity |
dc.subject.other | Microtemperatures |
dc.subject.other | Lord–Shulman |
dc.subject.other | Semigroups |
dc.subject.other | Stability |
dc.subject.other | Existence |
dc.title | Lord–Shulman thermoelasticity with microtemperatures |
dc.type | Article |
dc.subject.lemac | Termoelasticitat |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1007/s00245-020-09691-2 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00245-020-09691-2 |
dc.rights.access | Open Access |
local.identifier.drac | 28622655 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
local.citation.author | Bazarra, N.; Fernández, J.; Quintanilla, R. |
local.citation.publicationName | Applied mathematics and optimization |
local.citation.volume | 84 |
local.citation.startingPage | 1667 |
local.citation.endingPage | 1685 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.268]
-
Articles de revista [141]