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On the deformation of chiral piezoelectric plates
| dc.contributor.author | Iesan, Dorin |
| dc.contributor.author | Quintanilla de Latorre, Ramón |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2018-04-10T08:45:40Z |
| dc.date.issued | 2018-05-21 |
| dc.identifier.citation | Iesan, D., Quintanilla, R. On the deformation of chiral piezoelectric plates. A: "Generalized models and non-classical approaches in complex materials 1". Berlín: Springer, 2018, p. 417-438. |
| dc.identifier.isbn | 978-3-319-72439-3 |
| dc.identifier.uri | http://hdl.handle.net/2117/116105 |
| dc.format.extent | 22 p. |
| dc.language.iso | eng |
| dc.publisher | Springer |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| dc.subject.lcsh | Deformations (Mechanics) |
| dc.subject.lcsh | Thermoelasticity |
| dc.subject.lcsh | Differential equations, Partial |
| dc.subject.other | The paper is concerned with the linear theory of piezoelectricity for isotropic chiral Cosserat elastic solids. The behavior of chiral bodies is of interest for the investigation of auxetic materials |
| dc.subject.other | carbon nanotubes |
| dc.subject.other | bones |
| dc.subject.other | honeycomb structures |
| dc.subject.other | as well as composites with inclusions. First |
| dc.subject.other | we establish the basic equations which govern the behavior of thin plates. It is shown that |
| dc.subject.other | in contrast with the theory of achiral plates |
| dc.subject.other | the stretching and flexure cannot be treated independently of each other. Then |
| dc.subject.other | we present a uniqueness result with no definiteness assumption on elastic constitutive coefficients. A reciprocity theorem is also established. Then |
| dc.subject.other | we present the conditions on the constitutive coefficients which guarantee that the energy of the system is positive definite and we give a continuous dependence result. In the case of stationary theory we derive a uniqueness result for the Neumann problem. Finally |
| dc.subject.other | the effects of a concentrated charge density in an unbounded plate are investigated |
| dc.title | On the deformation of chiral piezoelectric plates |
| dc.type | Part of book or chapter of book |
| dc.subject.lemac | Deformacions (Mecànica) |
| dc.subject.lemac | Equacions diferencials parcials |
| dc.subject.lemac | Termoelasticitat |
| dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
| dc.identifier.doi | 10.1007/978-3-319-72440-9 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
| dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials |
| dc.relation.publisherversion | https://www.springer.com/us/book/9783319724393 |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 22029576 |
| dc.description.version | Postprint (author's final draft) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Iesan, D.; Quintanilla, R. |
| local.citation.pubplace | Berlín |
| local.citation.publicationName | Generalized models and non-classical approaches in complex materials 1 |
| local.citation.startingPage | 417 |
| local.citation.endingPage | 438 |
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