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Tytuł artykułu

Dispersion relations in a generalized monoclinic thermoelastic solid half-space

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Języki publikacji
EN
Abstrakty
EN
The plane wave propagation in a homogeneous, monoclinic, generalized thermoelastic solid medium with thermal relaxations is studied. Three types of plane waves: quasi-P (qP), quasi-thermal and quasi-SV (qSV) waves, are shown to exist. The analytical expressions for their dimensional velocities of propagation are obtained. The velocities of these waves are found to depend on the angle of propagation. Angles of reflection for plane waves are found to be different from their angles of incidence. Numerical computations are carried out to show the variations of velocities of plane waves for different parameters. Effects of anisotropy, frequency and thermoelastic coupling coefficient on wave propagation are observed.
Rocznik
Strony
119--129
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
Bibliografia
  • 1. P. CHADWICK, I.N. SNEDDON, Plane waves in an elastic solid conducting heat, J. Mech. Phys. Solids, 6, 223-230, 1958.
  • 2. F.J. LOCKETT, Effect of the thermal properties of a solid on the velocity of Rayleigh waves, J. Mech. Phys. Solids, 7, 71-75, 1958.
  • 3. H. DERESIEWICZ, Effect of boundaries on waves in thermoelastic solids: Reflection of plane waves from a plane stress-free boundary, J. Mech. Phys. Solids, 8, 164-185, 1960.
  • 4. H.W. LORD, Y. SHULMAN, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299-309, 1967.
  • 5. A.E. GREEN, K.A. LINDSAY, Thermoelasticity, J. Elasticity, 2, 1-7, 1972.
  • 6. P. PURI, Plane waves in generalized thermoelasticity, Int. J. Engng. Sci., 11, 735-744, 1973.
  • 7. A.N. SINHA, S.B. SINHA, Reflection of thermoelastic waves at a solid half-space with thermal relaxation, J. Phys. Earth, 22, 237-244, 1974.
  • 8. A.N. SINHA, K.A. ELSIBAI, Reflection of thermoelastic waves at a solid half-space with two relaxation times, J. Thermal Stresses, 19, 763-777, 1996.
  • 9. B. SINGH, R. KUMAR, Wave propagation in generalized thermo-microstretch elastic solid, Int. J. Engng. Sci., 36, 891-912, 1998.
  • 10. BANERJEE, Y.H. PAO, Thermoelastic waves in anisotropic solids, J. Acoust. Soc. Am., 56, 1444-1453, 1974.
  • 11. R.S. DHALIWAL, H.H. SHERIEF, Generalized thermoelasticity for anisotropic media, Q. Appl. Math., 38, 1-8, 1980.
  • 12. J.N. SHARMA, Reflection of thermoelastic waves from the stress-free insulated boundary of an anisotropic half-space, Indian J. Pure Appl. Math., 19, 294-304, 1988.
  • 13. B. SINGH, Wave propagation in an anisotropic generalized thermoelastic solid, Indian J. Pure Appl. Math., 34, 1479-1485, 2003.
  • 14. S. J. SINGH, S. KHURANA, Reflection of P and SV waves at the free surface of a monoclinic elastic half-space, Proc. Indian Acad. Sci. (Earth Planet. Sci.), 111, 401-412, 2002.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0054
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