Wave propagation in anisotropic generalized thermoelastic media

Journal of Thermal Stresses

Volumn 29, Issue 7, 2006, Pages 629-642

  Sharma, M D ^a  

^a KURUKSHETRA UNIVERSITY   (India)

Author keywords

General anisotropy; Poroelastic; Thermoelastic; Wave propagation

Indexed keywords

ANISOTROPY; ATTENUATION; NATURAL FREQUENCIES; SPECIFIC HEAT; THERMAL CONDUCTIVITY; THERMAL EFFECTS; THERMODYNAMICS; THERMOELASTICITY; VELOCITY MEASUREMENT;

CHRISTOFFEL EQUATIONS; GENERAL ANISOTROPY; POROELASTIC; THERMAL COEFFICIENTS; THERMAL PARAMETERS; THERMOELASTIC;

WAVE PROPAGATION;

EID: 33745527649     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495730500499100     Document Type: Article

References (30)

1. M. A. Biot, Thermoelasticity and Irreversible Thermodynamics, J. Appl. Phys., vol. 27, pp. 240-253, 1956.
2. W. Nowacki, Dynamic Problems in Thermoelasticity, Noordhoff, Leyden, The Netherlands, 1975.
3. H. W. Lord and Y. Shulman, The Generalised Dynamic Theory of Thermoelasticity, J. Mech. Phys. Solids, vol. 15, pp. 299-309, 1967.
4. A. E. Green and K. A. Lindsay, Thermoelasticity, J. Elasticity, vol. 2, pp. 1-7, 1972.
5. R. S. Dhaliwal and H. H. Sheriff, Generalized Thermoelasticity for Anisotropic Media, Quart. Appl. Maths., vol. 38, pp. 1-8, 1980.
6. D. S. Chandrasekhariah, Thermoelasticity with Second Sound, Appl. Mech. Rev., vol. 39, pp. 355-376, 1986.
7. M. F. McCarthy, Wave Propagation in Generalised Thermoelasticity, Int. J. Engr. Sci., vol. 10, pp. 593-602, 1972.
8. P. Chadwick, Basic Properties of Plane Harmonic Waves in a Prestressed Heat-Conducting Elastic Material. J. Thermal Stresses, vol. 2, pp. 193-214, 1979.
9. J. N. Sharma and R. S. Sidhu, On the Propagation of Plane Harmonic Waves in Anisotropic Generailised Thermoelasticity, Int. J. Engr. Sci., vol. 24, pp. 1511-1516, 1986.
10. J. N. Sharma, D. Singh, and R. Kumar, Generailised Thermoelastic Waves in Homogeneous Isotropic Plates, J. Acoust. Soc. Am., vol. 108, pp. 948-951, 2000.
11. D. K. Banerjee and Y. H. Pao, Waves in Anisotropic Solids, J. Acoust. Soc. Am., vol. 56, pp. 1444-1454, 1972.
12. H. Singh and J. N. Sharma, Generalised Thermoelastic Waves in Transversely Isotropic Media, J. Acoust. Soc. Am., vol. 77, pp. 1046-1053, 1985.
13. M. A. Biot, Mechanics of Deformation and Acoustic Propagation in Porous Media, J. Appl. Phys., vol. 33, pp. 1482-1498, 1962.
14. A. Norris, On the Correspondence between Poroelasticity and Thermoelasticity, J. Appl. Phys., vol. 71, pp. 1138-1141, 1992.
15. M. A. Biot, The Theory of Propagation of Elastic Waves in a Fluid-saturated Porous Solid, I. Low-frequency Range, II. Higher Frequency Range, J. Acoust. Soc. Am., vol. 28, pp. 168-191, 1956.
16. M. A. Biot, Generalized Theory of Acoustic Propagation in Porous Dissipative Media, J. Acoust. Soc. Am., vol. 34, pp. 1254-1264, 1962.
17. R. Lakes, H. S. Yoon, and J. L. Katz, Slow Compressional Wave Propagation in Wet Human and Bovine Cortical Bone, Science, vol. 220, pp. 513-515, 1983.
18. O. Kelder and D. M. J. Smeulders, Observations of the Biot Slow Wave in Water Saturated Nivelsteiner Sandstone, Geophysics, vol. 62, pp. 1794-1796, 1997.
19. B. Gurevich, O. Kelder, and D. M. J. Smeulders, Numerical Simulation of Ultrasonic Experiments on Poroelastic Samples, Transport in Porous Media, vol. 36, pp. 149-160, 1990.
20. K. W. Winkler, Dispersion Analysis of Velocity Attenuation in Berea Sandstone, J. Geophys. Res., vol. 90, pp. 6793-6800, 1985.
21. T. Klimentos and C. McCann, Why is the Biot Slow Compressional Wave Not Observed in Real Rocks? Geophysics, vol. 53, pp. 1605-1609, 1998.
22. J. G. Berryman and H. F. Wang, Dispersion in poroelastic systems, Phys. Rev. E, vol. 64, pp. 101-103, 2001.
23. M. S. King and J. R. Marsden, Velocity Dispersion Between Ultrasonic and Seismic Frequencies in Brine-Saturated Reservoir Sandstones, Geophysics, vol. 67, pp. 254-258, 2002.
24. J. L. Auriault, Dynamic Behaviour of a Porous Medium Saturated by a Newtonian Fluid, Int. J. Engr. Sci., vol. 18, pp. 775-785, 1980.
25. J. L. Auriault, L. Borne, and R. Chambon, Dynamics of Porous Saturated Media: Checking of Generalized Law of Darcy, J. Acoust. Soc. Am., vol. 77, pp. 1641-1650, 1985.
26. M. D. Sharma, Wave Propagation in a General Anisotropic Poroelastic Medium with AnisotropicPermeability: Phase Velocity and Attenuation, Int. J. Solids Struct., vol. 41, pp. 4587-4597, 2004.
27. M. D. Sharma, Wave Propagation in a General Anisotropic Poroelastic Medium: Biot's Theories and Homogenisation Theory, Int. J. Solids Struct., submitted, 2004.
28. P. N. J. Rasolofosaon and B. E. Zinszner, Comparison Between Permeability Anisotropy and Elasticity Anisotropy of Reservoir Rocks, Geophysics, vol. 67, pp. 230-240, 2002.
29. T.-T. Wu and T.-Y. Wu, Surface Waves in Coated Anisotropic Medium Loaded with Viscous Fluid, ASME, J. Appl. Mech., vol. 67, pp. 262-266, 2000.
30. M. D. Sharma, Group Velocity Along General Direction in a General Anisotropic Medium. Int. J. Solids Struct., vol. 39, pp. 3277-3288, 2002.