This paper deals with the problem of electromagnetic effect on the propagation of Rayleigh surface waves in a homogeneous, isotropic, thermally-conducting microstretch elastic half-space. In this context, the generalized theory of thermoelasticity is considered. The governing equations for the Rayleigh surface waves in the cases of insulated as well as isothermal boundaries are derived. In the presence of the magnetic effect, the analytical expressions for the displacement, microrotation, microstretch, and temperature changes are obtained. The changes in the phase velocity, microrotation, and path of particles for aluminum epoxy material are presented graphically.
Similar content being viewed by others
References
J. W. S. Rayleigh, On waves propagating along the plane surface of an elastic solid, Proc. Land. Math. Soc., 17, 4–11 (1887).
I. A. Victorov, Rayleigh and Lamb Waves: Physical Theory and Applications, Plenum Press, New York (1967).
H. W. Reinhardt and J. W. Dally, Some characteristics of Rayleigh wave interaction with surface flaws, Mater. Eval., 28, 213–220 (1970).
M. W. Richard, Surface elastic waves, Proc. IEEE, 58, 1278–1281 (1990).
A. C. Eringen, Microcontinuum Field Theories: Foundation and Solids, Springer, New York (1999).
S. Kaliski, Wave equation of heat conduction, Bull. Acad. Pol. Sci., Ser. Sci. Tech., 13, 211–219 (1965).
S. Kaliski, Wave equation of thermoelasticity, Bull. Acad. Pol. Sci., Ser. Sci. Tech., 13, 253–360 (1965).
H. W. Lord and Y. Shulman, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299–309 (1967).
A. E. Green and K. A. Lindsay, Thermoelasticity, J. Elast., 2, 1–7 (1972).
I. Muller, On the entropy inequality, Arch. Rat. Mech. Anal., 26, 118–141 (1967).
A. E. Green and N. Laws, On the entropy production inequality, Arch. Rat. Mech. Anal., 45, 47–59 (1972).
E. S. Suhubi, Thermoelastic solids, in: A. C. Eringen (Ed.), Continuum Physics, Vol. 2, Academic Press, New York (1975).
R. S. Dhaliwal and H. H. Sherief, Generalized thermoelasticity for anistropic media, Quart. Appl. Mech., 38, 1–8 (1980).
D. Iesan and A. Pompei, On the equilibrium theory of microstretch elastic solids, Int. J. Eng. Sci., 33, 399–410 (1995).
De Cicco and L. Nappa, On the theory of thermomicrostretch elastic solids, J. Thermal Stresses, 22, 565–580 (1999).
R. Quintanilla, On the spatial decay for the dynamic problem of thermomicrostretch elastic solid, Int. J. Eng. Sci., 40, 299–309 (2002).
A. C. Eringen, Electromagnetic theory of microstretch elasticity and bone modeling, Int. J. Eng. Sci., 42, 231–242 (2004).
M. I. A. Othman and K.H. Lotfy, On the plane waves of generalized thermo-microstretch elastic half-space under three theories, Int. Commun. Heat Mass Transfer, 37, 192–200 (2010).
S. K. Tomar and M. Garg, Reflection and transmission of waves from a plane interface between two microstretch solid half-spaces, Int. J. Eng. Sci., 43, 139–169 (2005).
A. C. Eringen, Theory of thermomicrostretch elastic solids, Int. J. Eng. Sci., 28, 1291–301 (1990).
J. N. Sharma, S. Kumar, and Y. D. Sharma, Effect of micropolarity, microstretch and relaxation times on Rayleigh surface waves in thermoelastic solids, Int. J. Appl. Math. Mech., 5, No. 2, 17–38 (2009).
B. Singh and R. Kumar, Wave propagation in a generalized thermomicrostretch elastic solid, Int. J. Eng. Sci., 36, 891–912 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 1, pp. 212–219, January–February, 2012.
Rights and permissions
About this article
Cite this article
Shaw, S., Mukhopadhyay, B. Electromagnetic effects on Rayleigh surface wave propagation in a homogeneous isotropic thermo-microstretch elastic half-space. J Eng Phys Thermophy 85, 229–238 (2012). https://doi.org/10.1007/s10891-012-0643-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-012-0643-8