Preprint Article Version 1 NOT YET PEER-REVIEWED

Elastic Wave Motions and an Electromagnetic Field for a Photothermal Theory with Two Temperature under Hydrostatic Initial Stress

Khaled Lotfy 1,2,* and Wafaa Hassan 2,3
  1. Math. Dept., Faculty of Science, Zagazig University, Zagazig 44519, Egypt
  2. Math. Dept., Faculty of Science and Arts, Al-Mithnab, Qassim University 931, Buraidah 51931, Al-Mithnab, Saudi Arabia
  3. Math.and Phy. Dept., Faculty of Engineering, Port Said University, Port Said 42521, Egypt
Version 1 : Received: 8 July 2016 / Approved: 9 July 2016 / Online: 9 July 2016 (11:00:24 CEST)

How to cite: Lotfy, K.; Hassan, W. Elastic Wave Motions and an Electromagnetic Field for a Photothermal Theory with Two Temperature under Hydrostatic Initial Stress. Preprints 2016, 2016070017 (doi: 10.20944/preprints201607.0017.v1). Lotfy, K.; Hassan, W. Elastic Wave Motions and an Electromagnetic Field for a Photothermal Theory with Two Temperature under Hydrostatic Initial Stress. Preprints 2016, 2016070017 (doi: 10.20944/preprints201607.0017.v1).

Abstract

This paper investigates the influence of magnetic field for a two dimensional deformations on a two temperature problem at the free surface of a semi-infinite semiconducting medium under the effect of mechanical force during a photothermal theory and the effect of hydrostatic initial stress on the medium. The Harmonic Wave Method (Normal Mode Analysis) has been used to obtain the equations of elastic waves, heat conduction equation, quasi-static electric field, carrier density, two temperature coefficient, ratios, and constitutive relationships for the thermo-magnetic-electric medium. The effects of several parameters as thermoelastic and thermoelectric coupling parameters and two temperature parameter of this force on the displacement component, force stress, carrier density and temperature distribution has been depicted graphically.

Subject Areas

photothermal theory; carrier density; magnetic field; the harmonic wave; two temperature

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