In this paper, we construct a new model based on the coupling of thermoelasticity, plasma, and microelongation effect under volumetric absorption laser pulse. Three different thermoelasticity theories are applied to in 2D thermoelastic semiconducting medium whose properties temperature-dependent. The surface is exposed radiation having spatial temporal Gaussian distributions; addition, consider...

We consider the system of dual-phase-lag thermoelasticity proposed by Chandrasekharaiah and Tzou. First, we prove that the solutions of the problem are generated by a semigroup of quasi-contractions. Thus, the problem of third-order in time is well-posed. Then the expontial stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder and a resuult...