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Títol:
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Qualitative properties in strain gradient thermoelasticity with microtemperatures
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Autor/a:
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Iesan, Dorin; Quintanilla de Latorre, Ramón
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Altres autors:
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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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This paper is devoted to the strain gradient theory of thermoelastic aterials whose microelements possess microtemperatures. The work is motivated by an increasing use of materials which possess thermal variation at a microstructure level. In the first part of this paper we deduce the system of basic equations of the linear theory and formulate the boundary-initial-value problem. We establish existence, uniqueness, and continuous dependence results by the means of semigroup theory. Then, we study the one-dimensional problem and establish the analyticity of solutions. Exponential stability and impossibility of localization are consequences of this result. In the case of the anti-plane problem we derive uniqueness and instability results without assuming the positivity of the mechanical energy. Finally, we study equilibrium theory and investigate the effects of a concentrated heat source in an unbounded body |
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Abstract:
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Peer Reviewed |
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Matèries:
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Thermoelasticity
-Differential equations, Partial
-Strain gradient thermoelasticity
-Microtemperatures
-Existence and uniqueness results
-Analyticity
-Termoelasticitat
-Equacions diferencials parcials
-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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Drets:
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Tipus de document:
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Article - Versió presentada
Article |
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