Abstract <p>In the present work, we have studied the thermodynamical interactions in a two-dimensional thermoelastic medium with initial stress and magnetic field. The purpose of the current study is to establish a novel mathematical model in the micropolar theory of generalized thermoelasticity under the framework of photothermal theory. For the solution of the required problem, by employing the Lame’s potential and normal mode technique, we derived analytical expressions for field quantities such as thermal stresses, displacement components, temperature field, carrier density and couple stress. For graphical representation of different physical quantities such as displacement components, stress and couple stress components and carrier density as well as the temperature distribution, Matlab software has been used. The theoretical and numerical computations are found to be in close form. The comparison of our results for the accuracy of physical quantities with previous research work is carried out graphically that indicates to the strong impact of the external parameters in photothermaol phenomenon</p>

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Photo-Magneto-Thermoealastic Interactions in a Micropolar Generalized Thermoelasticity in the Framework of Photothermal Theory with of Initial Stress

  • M. M. Rashid,
  • A. M. Abd-Alla,
  • S. M. Abo-Dahab,
  • K. K. Alarfaj,
  • S. H. Elhag

摘要

Abstract

In the present work, we have studied the thermodynamical interactions in a two-dimensional thermoelastic medium with initial stress and magnetic field. The purpose of the current study is to establish a novel mathematical model in the micropolar theory of generalized thermoelasticity under the framework of photothermal theory. For the solution of the required problem, by employing the Lame’s potential and normal mode technique, we derived analytical expressions for field quantities such as thermal stresses, displacement components, temperature field, carrier density and couple stress. For graphical representation of different physical quantities such as displacement components, stress and couple stress components and carrier density as well as the temperature distribution, Matlab software has been used. The theoretical and numerical computations are found to be in close form. The comparison of our results for the accuracy of physical quantities with previous research work is carried out graphically that indicates to the strong impact of the external parameters in photothermaol phenomenon