Numerical Simulation of Thermoelastic Waves Arising in Materials Under the Action of Different Physical Factors

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Abstract


In 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.

I V Amirkhanov

Joint Institute for Nuclear Research

Email: camir@jinr.ru
Laboratory of Information Technologies

I Sarhadov

Joint Institute for Nuclear Research

Email: ibrohim@jinr.ru
Laboratory of Information Technologies

Ahmed Fouad Ghaleb

Cairo University at Giza

Email: afghaleb@sci.cu.edu.eg
Department of Mathematics, Faculty of Science

Nasser Hassan Sweilam

Cairo University at Giza

Email: nsweilam@sci.cu.edu.eg
Department of Mathematics, Faculty of Science

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Copyright (c) 2013 Амирханов И.В., Сархадов И., Галеб А.Ф., Суейлам Н.Х.

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