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On the theory of chiral plates and associated system of Timoshenko–Ehrenfest type

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10.1016/j.mechmat.2021.103974
 
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hdl:2117/349437

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Iesan, Dorin
Quintanilla de Latorre, RamónMés informacióMés informacióMés informació
Document typeArticle
Defense date2021-09
Rights accessRestricted access - publisher's policy (embargoed until 2023-07-02)
Attribution-NonCommercial-NoDerivs 4.0 International
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 4.0 International
ProjectANALISIS MATEMATICO APLICADO A LA TERMOMECANICA (AEI-PID2019-105118GB-I00)
Abstract
The chiral effects cannot be described by means of the classical theory of elasticity. In this paper we study the thermoelastic deformation of chiral plates in the context of the strain gradient theory of thermoelasticity. The work is motivated by the interest in using chiral continuum as model for some carbon nanotubes, auxetic materials and bones. First, we derive the basic equations which govern the deformation of thin thermoelastic plates. In contrast with the theory of achiral plates, the stretching and flexure cannot be treated independently of each other. A system of Timoshenko–Ehrenfest type is presented and an existence result is established. Then, we consider the dynamic theory of plates and present a uniqueness result with no definiteness assumption on the elastic constitutive coefficients. The effects of a concentrated heat source are investigated
CitationIesan, D.; Quintanilla, R. On the theory of chiral plates and associated system of Timoshenko–Ehrenfest type. "Mechanics of materials", Setembre 2021, vol. 160, art. 103974. 
URIhttp://hdl.handle.net/2117/349437
DOI10.1016/j.mechmat.2021.103974
ISSN0167-6636
Publisher versionhttps://www.sciencedirect.com/science/article/abs/pii/S0167663621002118
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  • Departament de Matemàtiques - Articles de revista [2.976]
  • GRAA - Grup de Recerca en Anàlisi Aplicada - Articles de revista [141]
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