ORIGINAL PAPER
Reflection of Waves in Initially Stressed Transversely Isotropic Fibre-Reinforced Thermoelastic Medium
 
 
 
More details
Hide details
1
Department of Mathematics, M.M. University Mullana, Ambala, Haryana, INDIA-133203
 
2
Department of Mathematics and Applied Sciences MEC, Oman, INDIA
 
 
Online publication date: 2013-09-06
 
 
Publication date: 2013-08-01
 
 
International Journal of Applied Mechanics and Engineering 2013;18(3):671-685
 
KEYWORDS
ABSTRACT
The present investigation deals with the reflection of plane periodic waves incident at the surface of a homogeneous initially stressed transversely isotropic fibrereinforced thermoelastic medium. The wave equations are solved by imposing proper conditions on displacements, stresses and temperature distribution. Numerically simulated results have been depicted graphically for different angles of incidence with respect to frequency. Some special cases of interest have also been deduced from the present investigation
 
REFERENCES (11)
1.
Abd-Alla A.M., Mahmoud S.R., Abo-Dahab S.M. and Helmy M.I. (2010): Influences of rotation, magnetic field, initial stress and gravity on Rayleigh waves in a homogeneous orthotropic elastic half-space. - Applied Mathematical Sciences, vol.4, pp.91-108.
 
2.
Acharya D.P. and Roy I. (2008): Propagation of plane waves and their reflection at the free/rigid boundary of a fiberreinforced magnetoelastic semispace. - Int. J. of Appl. Math. and Mech., vol.4, pp.39-58.
 
3.
Belfield A.J., Rogers T.G. and Spencer A.J.M. (1938): Stress in elastic plates reinforced by fibres lying in concentric circles. - J. Mech. Phys. Solids, vol.31, pp.25-54.
 
4.
Biot M.A. (1965): Mechanics of Incremental Deformation. - Inc New York: John Wiley and Sons.
 
5.
Dhaliwal R.S. and Sherief H.H. (1980): Generalized thermoelasticity for anisotropic media. - Q. Appl. Math., vol.33, pp.1-8.
 
6.
Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solid, vol.15, pp.299-306.
 
7.
Montanaro A. (1999): On singular surface in isotropic linear thermoelasticity. - J. Acoust. Soc. Am., vol.15, pp.1586-1588.
 
8.
Richter C.F. (1958): Elementary Seismology. - San Francisco, London: W.H. Freeman.
 
9.
Singh B. (2006): Wave propagation in thermally conducting linear fibre-reinforced. - Composite Materials, vol.75, pp.513-520.
 
10.
Slaughter W.S. (2002): The linearized theory of elasticity. - Birkhauser.
 
11.
Spencer A.J.M. (1972): Deformation of Fibre-Reinforced Materials. - London: Oxford University Press.
 
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
Scroll to top