On the theory of chiral plates and associated system of Timoshenko–Ehrenfest type
| Autor: | Ramón Quintanilla, D. Ieşan |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Work (thermodynamics)
Materials science Auxetics Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC] Context (language use) Type (model theory) Concentrated heat source Thermoelastic damping Strain gradient theory of thermoelasticity General Materials Science Uniqueness Elasticity (economics) Instrumentation Thermoelasticity Deformacions (Mecànica) Uniqueness results Chiral materials Differential equations Partial Equacions diferencials parcials Timoshenko-Ehrenfest system Deformations (Mechanics) Classical mechanics Mechanics of Materials Thermal stresses in plates Deformation (engineering) Termoelasticitat |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| DOI: | 10.1016/j.mechmat.2021.103974 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
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