Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation

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• 作者：D. Ieşan^a ; ^{iesan@uaic.ro" class="auth_mail" title="E-mail the corresponding author} ; R. Quintanilla^b ; ^{ramon.quintanilla@upc.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Chiral materials ; Cosserat elasticity ; Strain gradient thermoelasticity ; Hyperbolic heat equation ; Uniqueness results ; Concentrated heat source
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：15 May 2016
• 年：2016
• 卷：437
• 期：2
• 页码：1219-1235
• 全文大小：436 K

文摘

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.