Abstract
The prime objective of the present paper is to analyze the propagation of thermoelastic waves in a homogeneous isotropic elastic semi-infinite space that is exposed to a magnetic field at initial temperature T0 and whose boundary surface is subjected to the moving heat source and load moving with finite velocity. Temperature and stress distribution occurring due to heating or cooling have been determined using certain boundary conditions. Numerical results indicate that the effect of the magnetic field is very pronounced. Comparison is made with the results predicted by the theory of thermoelasticity in the absence of a magnetic field. Apart from geophysical applications, the consequences of the present study offer a better platform to design a surface wave sensor by means of its established results. The obtained results may be also used for acquiring a better performance in surface acoustic wave devices and waveguides.
Similar content being viewed by others
References
Biot, M.A., Thermoelasticity and Irreversible Thermodynamics, J. Appl. Phys., 1956, vol. 27, pp. 240–253.
He, T. and Cao, L., A Problem of Generalized Magnetothermoelastic Thin Slim Strip Subjected to a Moving Heat Source, Math. Comput. Modell., 2009, vol. 49, pp. 1710–1720.
Ailawalia, P. and Narah, N.S., Effect of Rotation in a Generalized Thermoelastic Medium with Hydrostatic Initial Stress Subjected to Ramp-Type Heating and Loading, Int. J. Thermophys., 2009, vol. 30, no. 6, pp. 2078–2097.
Deswal, S. and Choudhary, S., Two-Dimensional Interactions due to Moving Load in Generalized Thermoelastic Solid with Diffusion, Appl. Math. Mech., 2008, vol. 29, no. 2, pp. 207–221.
Abd-Alla, A.M. and Ahmed, S.M., Rayleigh Waves in an Orthotropic Thermoelastic Medium under Gravity Field and Initial Stress, Earth Moon Planets, 1996, vol. 75, pp. 185–197.
Amin, M.M., El-Bary, A.A., and Yousef, H.M., Two-Dimensional Problem of Generalized Thermoelastic Half-Space Subjected to Moving Heat Source, Microsyst. Technol, 2017, vol. 23, pp. 4611–4617.
Abouelregal, A.E., Generalized Thermoelastic Infinite Transversely Isotropic Body with Cylindrical Cavity due to Moving Heat Source and Harmonically Varying Heat, Meccanica, 2013, vol. 48, pp. 1731–1745.
Abd-Alla, A.M., Abo-Dahab, S.M., and Al-Thamali, T.A., Propagation of Rayleigh Waves in a Rotating Orthotropic Material Elastic Half-Space under Initial Stress and Gravity, J. Mech. Sci. Tech., 2012, vol. 26, pp. 2815–2823.
Kumar, R. and Deswal, S., Steady-State Response of Micropolar Generalized Thermoelastic Half-Space to the Moving Mechanical and Thermal Loads, Proc. Indian Acad. Sci. (Math. Sci.), 2000, vol. 110, pp. 449–465.
Abd-Alla, A.M., Mahmoud, S.R., and Abo-Dahab, S.M., On Problem of Transient Coupled Thermoelasticity of an Annular Fin, Meccanica, 2012, vol. 47, pp. 1295–1306.
Abd-Alla, A.M., Abo-Dahab, S.M., Mahmoud, S.R., and Hammad, H.A., On Generalized Magneto-Thermoelastic Rayleigh Waves in a Granular Medium under Influence of Gravity Field and Initial Stress, J. Vib. Control., 2011, vol. 40, pp. 451–372.
Ailawalia, P. and Narah, N.S., Effect of Rotation in a Generalized Thermoelastic Medium with Hydrostatic Initial Stress Subjected to Ramp-Type Heating and Loading, Int. J. Thermophys., 2009, vol. 30, pp. 2078–2097.
Kumar, R. and Gupta, R.R., Thermomechanical Deformation in an Orthotropic Micropolar Thermoelastic Solid, Int. J. Thermophys., 2009, vol. 30, pp. 693–709.
Abouelregal, A.E. and Zenkour, A.M., Dynamic Response of a Nanobeam Induced by Ramp-Type Heating and Subjected to a Moving Load, Microsyst. Technol., 2017, vol. 23, pp. 5911–5920.
Abd-Alla, A.M., Abo-Dahab, S.M., and Alotabi, H.A., On the Influence of Thermal Stress and Magnetic Field in Thermoelastic Half-Space without Energy Dissipation, J. Therm. Stresses, 2017, vol. 40, pp. 213–230.
Abo-Dahab, S.M., Abd-Alla, A.M., Kilany, A.A., and Elsagheer, M., Effect of Rotation and Gravity on the Reflection of P-Waves from Thermo-Magneto-Micro-stretch Medium in the Context of Three Phase Lag Model with Initial Stress, Microsyst. Technol., 2018, vol. 24, no. 8, pp. 3357–3369.
Xia, R., Tian, X., and Shen, Y., Dynamic Response of Two-Dimensional Generalized Thermoelastic Coupling Problem Subjected to a Moving Heat Source, Acta Mech. Solid. Sin., 2014, vol. 27, pp. 300–305.
Wang, X. and Dong, K., Magnetothermodynamic Stress and Perturbation of Magnetic Field Vector in a Non-Homogeneous Thermo-Elastic Cylinder, Eur. J. Mech. A. Solids, 2006, vol. 25, pp. 98–109.
Sherief, H.H. and Allam, A.A., Electro-Magneto Interaction in a Two-Dimensional Generalized Thermoelastic Solid Cylinder, Acta Mech., 2017, vol. 228, no. 6, pp. 2041–2062.
Morse, P.M. and Feshbach, H., Methods of Theoretical Physics. Part I, New York: McGraw-Hill, 1953.
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian Text © The Author(s), 2019, published in Fizicheskaya Mezomekhanika, 2019, Vol. 22, No. 1, pp. 81–91.
Rights and permissions
About this article
Cite this article
Abd-Alla, A.M., Abo-Dahab, S.M., Ahmed, S.M. et al. Effect of a Magnetic Field on the Propagation of Waves in a Homogeneous Isotropic Thermoelastic Half-Space. Phys Mesomech 23, 54–65 (2020). https://doi.org/10.1134/S1029959920010063
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1029959920010063