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On the deformation of chiral piezoelectric plates

Iesan, D.; Quintanilla, R.
Tipus d'activitat
Capítol de llibre
Generalized models and non-classical approaches in complex materials 1
Pàgina inicial
Pàgina final
Data de publicació
978-3-319-72439-3 Obrir en finestra nova
DOI Obrir en finestra nova
Repositori Obrir en finestra nova
URL Obrir en finestra nova
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.
Paraules clau
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, as well as composites with inclusions. First, bones, carbon nanotubes, honeycomb structures, in contrast with the theory of achiral plates, the effects of a concentrated charge density in an unbounded plate are investigated, the stretching and flexure cannot be treated independently of each other. Then, we establish the basic equations which govern the behavior of thin plates. It is shown that, 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
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada