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Title:
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On a strain gradient theory of thermoviscoelasticity
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Author:
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Iesan, Dorin; Quintanilla de Latorre, Ramón
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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This paper is concerned with a strain gradient theory of thermoviscoelasticity in which the time derivatives of the strain tensors are included in the set of independent constitutive variables. The theory is motivated by the recent interest in the study of gradient theories. First, we establish the basic equations of the linear theory and present two uniqueness results. Then, we use a semigroup approach to derive an existence result. Finally, we establish the constitutive equations for an isotropic chiral material and derive a solution of the field equations. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Física::Física de l'estat sòlid
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
-Elastic solids--Mathematics
-Strength of materials--Mathematics
-Sòlids elàstics
-Termoelasticitat
-Classificació AMS::74 Mechanics of deformable solids |
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Rights:
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Document type:
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Article - Published version
Article |
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