Vol.22, No.2, 2022, pp. 219–226
UDC:

WAVE PROPAGATION IN THERMO-VISCOELASTIC SEMICONDUCTING MEDIUM WITH HYDROSTATIC INITIAL STRESS

Heena Sharma1, Sangeeta Kumari1, Praveen Ailawalia2*

1) Department of Mathematics, Chandigarh University, Gharuan, Mohali, Punjab, INDIA

2) Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana-Ambala, Haryana, INDIA

email: praveen_2117@rediffmail.com

 

Abstract

The present research article aims to investigate wave propagation in thermo-viscoelastic semiconducting medium with hydrostatic initial stress. The coupled wave equations in terms of displacement, temperature, and carrier density are solved analytically. The values of the penetration depth of different waves are obtained and depicted graphically against frequency to show the effect of viscosity and hydrostatic initial stress. As a special case, the authors have also discussed deformation in the medium caused due to a mechanical force along the free surface of semiconducting medium with hydrostatic initial stress. The components of displacement, mechanical stresses, carrier density, and temperature distribution in the medium are obtained and presented analytically. Graphical results of the variations of these quantities are also presented to show the effects of viscosity and hydrostatic initial stress.

Keywords: thermo-viscoelastic, hydrostatic initial stress, carrier density, wave propagation, penetration depth

full article (672 kB)