Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
V.E. Nazarov, L.A. Ostrovsky, I.A. Soustova, and A.M. Sutin, Nonlinear acoustics of micro-inhomogeneous media, Phys. Earth Planet. Inter. 50(1), 65-73 (1988).
R.A. Guyer and P.A. Johnson, Nonlinear mesoscopic elasticity: Evidence for a new class of materials, Phys. Today 52(April), 30-36 (1999).
L.A. Ostrovsky and P.A. Johnson, Dynamic nonlinear elasticity of geomaterials, La Rivista del Nuovo Cimento 24(7), 1-46 (2001).
P.A. Johnson, Nonequilibrium nonlinear dynamics in solids: State of the art, This book.
L.D. Landau and E.M. Lifshitz, Theory of Elasticity (Pergamon, London, 1959).
L.K. Zarembo and V.A. Krasilnikov, Nonlinear phenomena in the propagation of elastic waves in solids, Sov. Phys. Uspekhi 13(6), 778-797 (1971).
I.D. Mayergoyz, Mathematical Models of Hysteresis (Springer-Verlag, Berlin, 1992).
D.J. Holcomb, Memory, relaxation, and microfracturing of dilatant rock, J. Geophys. Res. 86(B7), 6235-6248 (1981).
R.A. Guyer, K.R. McCall, and G.N. Boitnott, Hysteresis, discrete memory, and nonlinear wave propagation in rock: a new paradigm, Phys. Rev. Lett. 74(17), 3491-3494 (1995).
G. Bertotti, Hysteresis in Magnetism (Academic Press, San Diego, 1998).
J.A. Ten Cate, T.J. Shankland, and P.A. Johnson, Nonlinear elastic wave experiments: Learning about the behaviour of rocks and geomaterials, This book.
J.K. Na and M.A. Breazeale, Ultrasonic nonlinear properties of lead zirconate-titanate ceramics, J. Acoust. Soc. Am. 95(6), 3213-3221 (1994).
V.E. Nazarov, Amplitude dependence of internal friction in zinc, Acoust. Phys. 46(2), 186-190 (2000).
A.S. Nowick, Variation of amplitude-dependent internal friction in single crystals of copper with frequency and temperature, Phys. Rev. 80(2), 249-257 (1950).
J.A. TenCate, D. Pasqualini, S. Habib, K. Heitmann, D. Higdon, and P.A. Johnson, Nonlinear and non equilibrium dynamics in geomaterials, Phys. Rev. Lett. 93(6), 065501 (2004).
D. Pasqualini, Intrinsic nonlinearity of geomaterials: Elastic properties of rocks at low strain, This book.
M.A. Krasnosel'skii and A.V. Pokrovskii, Systems with Hysteresis (Springer-Verlag, Berlin, 1989).
E. Della Torre, Magnetic Hysteresis (IEEE Press, New York, 1999).
V. Gusev and V. Tournat, Amplitude- and frequency-dependent nonlinearities in the presence of themally-induced transitions in the Preisach model of acoustic hysteresis, Phys. Rev. B 72(5), 054104 (2005).
A.B. Lebedev, Amplitude-dependent elastic-modulus defect in main dislocation-hysteresis models, Phys. Solid State 41(7), 1105-1111 (1999).
V. Gusev, W. Lauriks, and J. Thoen, Dispersion of nonlinearity, nonlinear dispersion and frequency-dependent nonlinear absorption of sound in micro-inhomogeneous materials with relaxation, J. Acoust. Soc. Am., 103(6), 3216-3226 (1998).
B. Capogrosso-Sansone and R. A. Guyer, Dynamic model of hysteretic elastic systems, Phys. Rev. B 66(22), 224101 (2002).
V.E. Nazarov, A.V. Radostin, and I.A. Soustova, Effect of an intense sound wave on the acoustic properties of a sandstone bar resonator. Experiment. Acoust. Phys. 48(1), 85-90 (2002).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, Inc.
About this chapter
Cite this chapter
Gusev, V., Tournat, V. (2006). Thermally Induced Rate-Dependence of Hysteresis in Nonclassical Nonlinear Acoustics. In: Delsanto, P.P. (eds) Universality of Nonclassical Nonlinearity. Springer, New York, NY. https://doi.org/10.1007/978-0-387-35851-2_21
Download citation
DOI: https://doi.org/10.1007/978-0-387-35851-2_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-33860-6
Online ISBN: 978-0-387-35851-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)