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• Displacements, microdeformations, temperature and microtemperatures are coupled in a multiphysics process. • Existence, uniqueness and continuous dependence results are shown for the mathematical model. • The plane strain problem is studied by the finite element method. In this study we formulate the mixed initial boundary value problem for a dipolar thermoelastic material whose micro-particles possess microtemperatures. Then this mixed problem is transformed in a Cauchy problem attached to a temporally equation of evolution on a specific Hilbert space, which will be suitably chosen. As such, we will be able to use certain results specific to the theory of the semigroups of contractions in order to obtain the existence and uniqueness of the solution for our problem. The theory of semigroups also facilitates our approach regarding the continuous dependence of the solution upon initial data and loads. Finally, we reduce our model to the isotropic case and perform numerical simulations for the corresponding system of partial differential equations by means of the finite element method. [ABSTRACT FROM AUTHOR]

Abstract: In this paper we extent the concept of domain of influence, proposed by Cowin and Nunziato, in order to cover the elasticity of microstretch materials. We will prove that for a finite time the displacement field , the microrotation field and the microstretch function generate no disturbance outside a bounded domain . [ABSTRACT FROM AUTHOR]

Abstract: This paper is concerned with microstretch thermoelastic materials. For the mixed initial boundary value problem defined in this context, we prove that the Cesaro means of the kinetic and strain energies of a solution with finite energy become asymptotic equal as time tends to infinity. [Copyright &y& Elsevier]

Abstract: In the present paper we generalize the results obtained by Iesan and Quintanilla for microstretch elastic bodies in order to cover dipolar elastic materials with stretch. For the boundary value problem considered in this context, we prove a generalized existence result and, also, an extension of the principle of minimum potential energy. [Copyright &y& Elsevier]