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dc.contributor | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
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dc.contributor | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.contributor.author | Iesan, Dorin |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.date | 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.citation | 978-3-319-72439-3 |
dc.identifier.citation | 10.1007/978-3-319-72440-9 |
dc.identifier.uri | http://hdl.handle.net/2117/116105 |
dc.language.iso | eng |
dc.publisher | Springer |
dc.relation | https://www.springer.com/us/book/9783319724393 |
dc.rights | info:eu-repo/semantics/openAccess |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject | Deformations (Mechanics) |
dc.subject | Thermoelasticity |
dc.subject | Differential equations, Partial |
dc.subject | 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 | carbon nanotubes |
dc.subject | bones |
dc.subject | honeycomb structures |
dc.subject | as well as composites with inclusions. First |
dc.subject | we establish the basic equations which govern the behavior of thin plates. It is shown that |
dc.subject | in contrast with the theory of achiral plates |
dc.subject | the stretching and flexure cannot be treated independently of each other. Then |
dc.subject | we present a uniqueness result with no definiteness assumption on elastic constitutive coefficients. A reciprocity theorem is also established. Then |
dc.subject | 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 | the effects of a concentrated charge density in an unbounded plate are investigated |
dc.subject | Deformacions (Mecànica) |
dc.subject | Equacions diferencials parcials |
dc.subject | Termoelasticitat |
dc.subject | Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
dc.subject | Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials |
dc.title | On the deformation of chiral piezoelectric plates |
dc.type | info:eu-repo/semantics/submittedVersion |
dc.type | info:eu-repo/semantics/bookPart |
dc.description.abstract |