Structural Engineering and Mechanics
Volume 73, Number 6, 2020, pages 621-629
DOI: 10.12989/sem.2020.73.6.621
Plane waves in generalized magneto-thermo-viscoelastic medium with voids under the effect of initial stress and laser pulse heating
Mohamed I. A. Othman, Montaser Fekry and Marin Marin
Abstract
The present paper aims to study the influence of the magnetic field and initial stress on the 2-D problem of generalized thermo-viscoelastic material with voids subject to thermal loading by a laser pulse in the context of the Lord-Shulman and the classical dynamical coupled theories. The analytical expressions for the physical quantities are obtained in the physical domain by using the normal mode analysis. These expressions are calculated numerically for a specific material and explained graphically. Comparisons are made with the results predicted by the Lord-Shulman and the coupled theories in the presence and absence of the initial stress and the magnetic field.
Key Words
Lord-Shulman; thermo-viscoelasticity; initial stress; magnetic field; laser pulse; voids
Address
Mohamed I. A. Othman: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Montaser Fekry: Department of Mathematics, Faculty of Science, South Valley University, P.O. Box 83523, Qena, Egypt
Marin Marin: Department of Mathematics and Computer Science , Transilvania University of Brasov, Romania