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Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation
Iesan, Dorin; Quintanilla de Latorre, Ramón
Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
In this paper, we use the Green–Naghdi theory of thermomechanics of continua to derive a linear strain gradient theory of Cosserat thermoelastic bodies. The theory is capable of predicting a finite speed of heat propagation and leads to a symmetric conductivity tensor. The constitutive equations for isotropic chiral thermoelastic materials are presented. In this case, in contrast with the classical Cosserat thermoelasticity, a thermal field produces a microrotation of the particles. The thermal field is influenced by the displacement and microrotation fields even in the equilibrium theory. Existence and uniqueness results are established. The theory is used to study the effects of a concentrated heat source in an unbounded homogeneous and isotropic chiral solid.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
Differential equations, Partial
Chiral materials
Cosserat elasticity
Strain gradient thermoelasticity
Hyperbolic heat equation
Uniqueness results
Concentrated heat source
Equacions diferencials parcials
Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application

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