Thermoviscoelastic orthotropic solid cylinder with variable thermal conductivity subjected to temperature pulse heating

  • Abouelregal, A.E. (Department of Mathematics, Faculty of Science, Mansoura University) ;
  • Zenkour, A.M. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
  • Received : 2017.03.08
  • Accepted : 2017.09.07
  • Published : 2017.08.25


This work aims to analyze the thermo-viscoelastic interaction in an orthotropic solid cylinder. The medium is considered to be variable thermal conductivity and subjected to temperature pulse. Analytical solution based on dual-phase-lags model with Voigt-type for behavior of viscoelastic material has been effectively proposed. All variables are deduced using method of Laplace transforms. Numerical results for different distribution fields, such as temperature, displacement and stress components are graphically presented. Results are discussed to illustrate the effect of variability thermal conductivity parameter as well as phase-lags and viscoelasticity on the field quantities. Results are obtained when the viscosity is ignored with and without considering variability of thermal conductivity. A comparison study is made and all results are investigated.


thermoviscelasticity;orthotropic medium;solid cylinder;temperature pulse;variable thermal conductivity;dual-phase-lags


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