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Steel and Composite Structures
  Volume 38, Number 4, February25 2021, pages 355-363
DOI: http://dx.doi.org/10.12989/scs.2021.38.4.355
 


Dual-phase-lag model on thermo-microstretch elastic solid Under the effect of initial stress and temperature-dependent
Mohamed I.A. Othman, Magda E.M. Zidan and Ibrahim E.A. Mohamed

 
Abstract
    The present paper attempts to investigate the propagation of plane waves in an isotropic elastic medium under the effect of initial stress and temperature-dependent properties. The modulus of elasticity is taken as a linear function of the reference temperature. The formulation is applied under the thermoelasticity theory with dual-phase-lag; the normal mode analysis is used to obtain the expressions for the displacement components, the temperature, the stress, and the strain components. Numerical results for the field quantities are given in the physical domain and illustrated graphically. Comparisons are made with the results predicted by different theories (Lord–Shulman theory, the classical coupled theory of thermoelasticity and the dual-phase-lag model) in the absence and presence of the initial stress as well as the case where the modulus of elasticity is independent of temperature.
 
Key Words
    thermoelasticity; initial stress; microstretch; dual-phase-lag; normal mode analysis; temperature-dependent
 
Address
Mohamed I.A. Othman, Magda E.M. Zidan and Ibrahim E.A. Mohamed: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
 

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