Reflection of generalized magneto-thermoelastic waves with two temperatures under influence of thermal shock and initial stress

[+] Author and Article Information
Elsayed Abo-Dahab

Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt; Mathematics Department, Faculty of Science, Taif University, Taif 888, Saudi Arabia

1Corresponding author.

ASME doi:10.1115/1.4040258 History: Received January 07, 2018; Revised April 27, 2018


In this paper, an estimation to theory of generalized magneto-thermoelasticity to solve the problems of two dimensional half-space under thermal shock, initial stress and two temperatures. The governing equations are solved by using Lame's potentials method in the context of (CD) Classical Dynamical and (LS) Lord-Shulman theories. The boundary conditions that: (i)The total normal stresses in the boundary equivalent the initial stress; (ii) The shear stresses are vanish at the boundary; and (iii)The incidence boundary is thermal insulated. The reflection coefficients have been obtained for two incident p- and SV-waves. The results obtained for the incident waves calculated numerically by using appropriate metal and presented graphically. Comparisons have been made with the results with the results obtained in the presence and absence of magnetic field and initial stress.

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