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Title:
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On the deformation of chiral piezoelectric plates
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Author:
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Iesan, Dorin; Quintanilla de Latorre, Ramón
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Deformations (Mechanics)
-Thermoelasticity
-Differential equations, Partial
-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
-carbon nanotubes
-bones
-honeycomb structures
-as well as composites with inclusions. First
-we establish the basic equations which govern the behavior of thin plates. It is shown that
-in contrast with the theory of achiral plates
-the stretching and flexure cannot be treated independently of each other. Then
-we present a uniqueness result with no definiteness assumption on elastic constitutive coefficients. A reciprocity theorem is also established. Then
-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
-the effects of a concentrated charge density in an unbounded plate are investigated
-Deformacions (Mecànica)
-Equacions diferencials parcials
-Termoelasticitat
-Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
-Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials |
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Rights:
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Document type:
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Article - Submitted version
Book Part |
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Published by:
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Springer
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