Propagation of Stoneley Waves in Couple Stress Generalized Thermoelastic Media

Authors

  • Rajneesh Kumar

  • Krishan Kumar

  • Ravindra C. Nautiyal

stoneley waves, couple stress, thermoelasticity, amplitude ratio, secular equation

Abstract

The present paper is concerned with the propagation of Stoneley waves at the interface of two couple stress thermoelastic medium in context with Lord and Shulman (LS) and Green and Lindsay (GL) theories of thermoelasticity. It is observed that shear wave get decoupled from rest of the motion. After developing the formal solution, the secular equation for surface wave propagation is derived. The dispersion curve giving the phase velocity and attenuation coefficient related to wave number are plotted graphically to depict the effect of thermal relaxation times. The amplitude ratios of displacement components and temperature distribution are also computed numerically and shown graphically to depict the effect of thermal relaxation times. Some special cases are also deduced from the present investigation.

Downloads

How to Cite

Propagation of Stoneley Waves in Couple Stress Generalized Thermoelastic Media. (2013). Global Journal of Science Frontier Research, 13(18), 1-13. https://journalofscience.org/index.php/GJSFR/article/view/

References

J. Achenbach (1973) Wave Propagation in Elastic Solids.

H. Aggarwal, R. Alverson (1969) The effect of couple-stresses on the diffraction of plane elastic waves by cylindrical discontinuities. 5(5), 491-511. https://doi.org/10.1016/0020-7683(69)90038-9

A. Anthonie (2000) Effect of couple-stresses on the elastic bending of beams. 37(7), 1003-1018. https://doi.org/10.1016/s0020-7683(98)00283-2

D. Bogy, Eli Sternberg (1967) The effect of couple-stresses on singularities due to discontinuous loadings. 3(5), 757-770. https://doi.org/10.1016/0020-7683(67)90051-0

L. Brekhoviskikh (1960) Waves in Layered Media.

K. Bullen, B. Bolt (1985) An introduction to the theory of Seismology.

Shaohua Chen, Tzuchiang Wang (2001) Strain gradient theory with couple stress for crystalline solids. 20(5), 739-756. https://doi.org/10.1016/s0997-7538(01)01168-8

J. Chung, A. Wass (1909) The inplane orthotropic couple-stress elasticity constants of elliptical cell honeycombs. 48(11), 1123-1136.

Paris Fils, W. Ewing, W. Zardetzky, F. Press (1957) Elastic Waves in Layered.

(2008) An opporroach based on distributed dislocations and dislocations for crack problems in couple-stress elasticity.

Propagation of Stoneley Waves in Couple Stress Generalized Thermoelastic Media

Published

2013-04-22

How to Cite

Propagation of Stoneley Waves in Couple Stress Generalized Thermoelastic Media. (2013). Global Journal of Science Frontier Research, 13(18), 1-13. https://journalofscience.org/index.php/GJSFR/article/view/