Para acceder a los documentos con el texto completo, por favor, siga el siguiente enlace: http://hdl.handle.net/2117/116105

Título:	On the deformation of chiral piezoelectric plates
Autor/a:	Iesan, Dorin; Quintanilla de Latorre, Ramón
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
Abstract:	Peer Reviewed
Materia(s):	-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
Derechos:
Tipo de documento:	Artículo - Versión presentada Capítulo o parte de libro
Editor:	Springer
Compartir:

Mostrar el registro completo del ítem