Energy and dissipation of inhomogeneous plane waves in thermoelasticity

Wave Motion

Volumn 23, Issue 4, 1996, Pages 393-406

  Scott, N H ^a  

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVE ATTENUATION; ENERGY DISSIPATION; FREQUENCIES; HEAT CONDUCTION; MECHANICS; THERMOELASTICITY; VECTORS;

ENERGY DENSITY; ENERGY DISSIPATION EQUATION; ENERGY FLUX; INHOMOGENEOUS PLANE WAVES; QUADRATIC TERMS;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 0030173849     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-2125(96)00003-0     Document Type: Article

References (16)

1. Ph. Boulanger and M. Hayes, Bivectors and Waves in Mechanics and Optics, Chapman and Hall, London (1993).
2. A. Noda, "A general relationship between group velocity and fluxes quadratic in wave amplitude", J. Met. Soc. Japan 64, 319-327 (1986).
3. D.E. Carlson, Linear Thermoelasticity, in Encyclopaedia of Physics, Vol. VIa/2, Springer, Berlin (1972).
4. P. Chadwick, "Basic properties of plane harmonic waves in a prestressed heat-conducting elastic material", J. Thermal Stresses 2, 193-214 (1979).
5. W. Nowacki, Dynamic Problems of Thermoelasticity, Noordhoff, Leyden (1975).
6. P. Chadwick, Private communication.
7. P. Chadwick and L.T.C. Seet, "Second-order thermoelasticity theory for isotropic and transversely isotropic materials", in: R.E. Czarnota-Bojarski, M. Sokolowski and H. Zorski, eds., Trends in Elasticity and Thermoelasticity, Wolters-Noordhoff, Groningen (1971).
8. J. Lighthill, Waves in Fluids, Cambridge University Press, Cambridge (1978).
9. P. Chadwick, A.M. Whitworth and P. Borejko, "Basic theory of small-amplitude waves in a constrained elastic body", Arch. Ration. Mech. Analysis 87, 339-354 (1985).
10. M. Hayes, "A note on group velocity", Proc. Roy. Soc. London A 354, 533-535 (1977).
11. Ph. Boulanger and M. Hayes, "Inhomogeneous plane waves in viscous fluids", Continuum Mech. Thermodyn. 2, 1-16 (1990).
12. N.H. Scott, "Inhomogeneous plane waves in compressible viscous fluids", Wave Motion 22, 335-347 (1995).
13. P.W. Buchen, "Plane waves in linear viscoelastic media", Geophys. J.R. Astr. Soc. 23, 531-542 (1971).
14. M. Hayes, "Viscoelastic plane waves", in: F. Mainardi, ed., Wave Propagation in Viscoelastic Media, Pitman Research Notes, Vol. 52, Pitman, London (1982) 28-40.
15. M. Hayes, "Energy flux for trains of inhomogeneous plane waves", Proc. Roy. Soc. London A 370, 417-429 (1980).
16. F.I. Fedorov, Theory of Elastic Waves in Crystals, Plenum Press, New York (1968).