The aim of this investigation is to estimate the theory of generalized magneto-thermoelasticity to solve the problems of two-dimensional (2D) 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 classical dynamical (CD) and Lord-Şhulman (LS) theories. The boundary conditions are as follows (i) the total normal stresses in the boundary equivalent to the initial stress; (ii) the shear stresses are vanished 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 obtained from the presence and absence of magnetic field and initial stress.
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Reflection of Generalized Magneto-Thermoelastic Waves With Two Temperatures Under Influence of Thermal Shock and Initial Stress
S. M. Abo-Dahab
S. M. Abo-Dahab
Mathematics Department,
Faculty of Science,
South Valley University,
Qena 83523, Egypt;
Faculty of Science,
South Valley University,
Qena 83523, Egypt;
Mathematics Department,
Faculty of Science,
Taif University,
Taif 888, Saudi Arabia
e-mail: sdahb@yahoo.com
Faculty of Science,
Taif University,
Taif 888, Saudi Arabia
e-mail: sdahb@yahoo.com
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S. M. Abo-Dahab
Mathematics Department,
Faculty of Science,
South Valley University,
Qena 83523, Egypt;
Faculty of Science,
South Valley University,
Qena 83523, Egypt;
Mathematics Department,
Faculty of Science,
Taif University,
Taif 888, Saudi Arabia
e-mail: sdahb@yahoo.com
Faculty of Science,
Taif University,
Taif 888, Saudi Arabia
e-mail: sdahb@yahoo.com
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 7, 2018; final manuscript received April 27, 2018; published online June 8, 2018. Editor: Portonovo S. Ayyaswamy.
J. Heat Transfer. Oct 2018, 140(10): 102005 (8 pages)
Published Online: June 8, 2018
Article history
Received:
January 7, 2018
Revised:
April 27, 2018
Citation
Abo-Dahab, S. M. (June 8, 2018). "Reflection of Generalized Magneto-Thermoelastic Waves With Two Temperatures Under Influence of Thermal Shock and Initial Stress." ASME. J. Heat Transfer. October 2018; 140(10): 102005. https://doi.org/10.1115/1.4040258
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