×

Inhomogeneous waves in anisotropic dissipative bodies. (English) Zbl 0873.73022


MSC:

74J10 Bulk waves in solid mechanics
74E10 Anisotropy in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Lockett F I (1962) The reflection and refraction of waves at an interface between viscoelastic materials. J. Mech. Phys. Solids 10:p 58 · Zbl 0128.19504
[2] Buchen P W (1971) Plane waves in linear viscoelastic media. Geophys. J. R. Astr. Soc. 23:p 531 · Zbl 0224.73053 · doi:10.1111/j.1365-246X.1971.tb01841.x
[3] Currie P K, Hayes M A, O’Leary P M (1977) Viscoelastic Rayleigh waves. Quart. Appl. Math. 35:p 35 · Zbl 0355.73024
[4] Currie P K, O’Leary P M (1978) Viscoelastic Rayleigh waves II. Quart. Appl. Math. 35: p 445 · Zbl 0374.73034
[5] Boulanger Ph, Hayes M (1990) Inhomogeneous plane waves in viscous fluids. Continuum Mech. Thermodyn. 2: p 1 · Zbl 0760.76022 · doi:10.1007/BF01170952
[6] Poirée B (1991) Complex harmonic plane waves. Physical Acoustics (Leroy O, Breazeale M A eds.). Plenum: New York · Zbl 0850.76627
[7] Caviglia G, Morro A (1992) Inhomogeneous waves in solids and fluids. World Scientific: Singapore · Zbl 0803.73004
[8] Hayes M (1984) Inhomogeneous plane waves. Arch. Rational Mech. Anal. 85: p 41 · Zbl 0537.73015
[9] Fedorov F I (1968) Theory of elastic waves in crystals. Plenum: New York
[10] Musgrave M J P (1970) Crystal acoustics. Holden Day: San Francisco · Zbl 0201.27601
[11] Crampin S (1981) A review of wave motion in anisotropic and cracked elastic media. Wave Motion 3: p 343 · Zbl 0472.73021 · doi:10.1016/0165-2125(81)90026-3
[12] Kerner C, Dyer B, Worthington M (1989) Wave propagation in a vertical transversely isotropic medium: field experiment and model study. Geophys. J. 97: p 295 · doi:10.1111/j.1365-246X.1989.tb00502.x
[13] Chadwick P (1989) Wave propagation in transversely isotropic elastic media I. Homogenous plane waves. Proc. Roy. Soc. London A 422: p 23 · Zbl 0686.73019 · doi:10.1098/rspa.1989.0019
[14] Hayes M A, Rivlin R S (1972) Longitudinal waves in a linear viscoelastic material. ZAMP 23: p 153 · Zbl 0237.73017 · doi:10.1007/BF01593214
[15] Hayes M A, Rivlin R S (1974) Plane waves in linear viscoelastic materials. Q. Appl. Math. 32: p 113 · Zbl 0282.73012
[16] Mainardi F (1982) Wave propagation in viscoelastic media. Pitman: Boston · Zbl 0493.73028
[17] Caviglia G, Morro A (1993) Dissipative effects on wave propagation in viscoelastic solids. Eur. J. Mech. A/Solids 12: p 387 · Zbl 0784.73018
[18] Day W A (1972) The Thermodynamics of Simple Materials with Fading Memory. Springer: Berlin · Zbl 0295.73007
[19] Fabrizio M, Morro A (1992) Mathematical problems in linear viscoelasticity. SIAM: Philadelphia · Zbl 0753.73003
[20] Fabrizio M, Morro A (1988) Viscoelastic relaxation functions compatible with thermodynamics. J. Elasticity 19: p 63 · Zbl 0661.73019 · doi:10.1007/BF00041695
[21] Achenbach J D, Gautesen A K, McMaken H (1982) Ray methods for waves in elastic solids. Pitman: Boston · Zbl 0498.73020
[22] Synge J L (1956) Flux of energy for elastic waves in anisotropic media. Proc. Roy. Irish Acad. A 58: p 13 · Zbl 0074.20103
[23] Hayes M (1980) Energy flux for trains of inhomogeneous plane waves. Proc. R. Soc. London A 370: p 417 · Zbl 0438.73019 · doi:10.1098/rspa.1980.0042
[24] Synge J L (1957) Elastic waves in anisotropic media. J. Math. Phys. 35: p 323 · Zbl 0080.39003
[25] Chadwick P, Seet L T C (1970) Wave propagation in a transversely isotropic heat-conducting elastic material. Mathematika 17: p 255 · Zbl 0248.73013 · doi:10.1112/S002557930000293X
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.