Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8530Research ArticleNumerical Simulation of Thermoelastic Waves Arising in Materials Under the Action of Diﬀerent Physical FactorsAmirkhanovI VLaboratory of Information Technologiescamir@jinr.ruSarhadovILaboratory of Information Technologiesibrohim@jinr.ruGhalebAhmed FouadDepartment of Mathematics, Faculty of Scienceafghaleb@sci.cu.edu.egSweilamNasser HassanDepartment of Mathematics, Faculty of Sciencensweilam@sci.cu.edu.egJoint Institute for Nuclear ResearchCairo University at Giza150220132647608092016Copyright © 2013,2013In this work, a system of equations of one-dimensional thermoelasticity is presented, which takes into account the nonlinear dependence between stresses and deformation. Diﬀerent problems are considered, which correspond to diﬀerent external actions on the sample. The numerical simulation of thermoelastic waves arising in a metallic sample under a variable external pressure on the sample’s boundary is considered, when the maximum of the absolute value of pressure changes in the interval of observation or violation of the linear Hooke’s Law. The numerical investigation of the dynamics of these waves in two-layered structures is also performed. It is shown that the nonlinear dependence of stresses on deformation strongly aﬀects the form dynamics of the thermoelastic wave.thermoelasticitythermoelastic wavesnumerical simulationnonlinearityHooks lawdeformationstressтермоупругостьчисленное моделированиенелинейностьзакон Гукадеформациянапряжение