Mutually induced variations in dissipation and elasticity for oscillations in hysteretic materials: Non-simplex interaction regimes

Ultrasonics

Volumn 43, Issue 8, 2005, Pages 699-709

  Zaitsev, V Yu ^a   Gusev, V E ^b   Zaytsev, Yu V ^a  

^a INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

^b UNIVERSITÉ DU MAINE   (France)

Author keywords

Hysteresis; Induced dissipation; Modulus defect; Nonlinear dissipation; Wave interaction

Indexed keywords

ELASTICITY; ENERGY DISSIPATION; FREQUENCIES; MATHEMATICAL MODELS; MICROSTRUCTURE; OSCILLATIONS; STRAIN; STRESS ANALYSIS; WAVE PLASMA INTERACTIONS;

INDUCED DISSIPATION; MODULUS DEFECT; NONLINEAR DISSIPATION; WAVE INTERACTIONS;

HYSTERESIS;

EID: 18844403716     PISSN: 0041624X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ultras.2005.01.005     Document Type: Article

References (44)

1. N.G.W. Cook, and K. Hodgson Some detailed stress-strain curves for rock J. Geophys. Res. 70 12 1965 2883 2888
2. R.B. Gordon, and L.A. Davis Velocity and attenuation of seismic waves in imperfectly elastic rock J. Geophys. Res. 73 1968 3917 3935
3. D.J. Holcomb Memory, relaxation, and microfracturing in dilatant rock J. Geophys. Res. 86 1981 6235 6248
4. G.N. Boitnott, Nonlinear rheology of rock at moderate strains: fundamental observations of hysteresis in the deformation of rock, in: J.F. Lewkowicz, J.M. McPhetres (Eds.), Proc. 15th Annual Seismic Res. Symp., Vail, Colorado, Philips Laboratory of the Air Force Material Command, Handsom Air Force Base, MA, 1993, Environmental Research Papers No. 125, pp. 121-133.
5. B. McKavanach, and F.D. Stacey Mechanical hysteresis in rocks at low amplitudes and seismic frequencies Phys. Earth Planet. Interiors 84 1974 246 250
6. V.E. Nazarov, L.A. Ostrovsky, I.A. Soustova, and A.M. Sutin Nonlinear acoustics of micro-inhomogeneous media Phys. Earth Planet. Interiors 50 1988 65 73
7. V.E. Nazarov Nonlinear acoustic effects in annealed copper Akust Zhurnal (Sov. Phys. Acoust.) 37 1991 150 156
8. 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 1995 3491 3494
9. P.A. Johnson, B. Zinszner, and P.N.J. Rasolofosaon Resonance and elastic nonlinear phenomena in rock J. Geophys. Res. 101 1996 11553 11564
10. R.A. Guyer, J. TenCate, and P. Johnson Hysteresis and the dynamic elasticity of consolidated granular materials Phys. Rev. Lett. 82 1999 3280 3283
11. R.A. Guyer, and P.A. Johnson Nonlinear mesoscopic elasticity: evidence for a new class of materials Phys. Today 52 1999 30 35
12. V.E. Nazarov Amplitude dependence of internal friction in zinc Acoust. Phys. 46 2000 186 190
13. 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 Exp., Acoust. Phys. 48 2002 76 80
14. Ch. Kittel Introduction to solid state physics 1995 Wiley Publishers
15. M. Richardson Harmonic generation at an unbonded interface. I. Planar interface between semi-infinite elastic media Int. J. Eng. Sci. 17 1979 73 85
16. R.R. Stewart, and M.N. Toksoz Strain dependent attenuation: observations and a proposed mechanism J. Geophys. Res. 88 1983 546 554
17. I.Yu. Solodov Ultrasonics of non-linear contacts: propagation, reflection, and NDE applications Ultrasonics 36 1998 383 390
18. V.Yu. Zaitsev Nonlindeally packed granular media: numerical modeling of elastic nonlinear properties Acoust. Phys. 41 1995 385 391
19. V.Yu. Zaitsev, A.B. Kolpakov, and V.E. Nazarov Detection of acoustic pulses in river sand. Pt. 1. Experiment, Pt. 2. Theory Acoust. Phys. 45 1999 235 241 and 347-353
20. V.Yu. Zaitsev, V.E. Nazarov, and V.I. Talanov Experimental study of self-action of seismo-acoustic waves Acoust. Phys. 45 1999 720 726
21. V. Zaitsev, V. Gusev, and B. Castagnede Luxemburg-Gorky effect retooled for elastic waves: a mechanism and experimental evidence Phys. Rev. Lett. 89 2002 105502
22. V. Tournat, V. Zaitsev, V. Gusev, V. Nazarov, P. Bequin, and B. Castagnede Probing granular media by acoustic parametric emitting antenna: clapping contacts, nonlinear dilatancy and polarization anisotropy Phys. Rev. Lett. 92 2004 085502
23. J.A. TenCate, and T.J. Shankland Slow dynamics in the nonlinear elastic response of Berea sandstone Geoph. Res. Lett. 23 1996 3019 3022
24. V. Zaitsev, V. Gusev, and B. Castagnede Thermoelastic mechanism for logarithmic slow dynamics and memory in elastic wave interaction with individual cracks Phys. Rev. Lett. 90 2003 075501
25. K. Van Den Abeele, P.A. Johnson, R.A. Guyer, and K.R. McCall On the quasi-analytic treatment of hysteretic nonlinear response in elastic wave propagation J. Acoust. Soc. Am. 101 1997 1885 1898
26. L. Ostrovsky, and P. Johnson Dynamic nonlinear elasticity in geomaterials Riv. Nuovo Cimento 24 2001 1 46
27. V.E. Nazarov, A.V. Radostin, L.A. Ostrovsky, and I.A. Soustova Wave processes in media with hysteretic nonlinearity: Pts 1, 2 Acoust. Phys. 49 2003 344 353 and 444-448
28. V.E. Nazarov, and A.B. Kolpakov Experimental investigations of nonlinear acoustic phenomena in polycrystalline zinc J. Acoust. Soc. Am. 107 2000 1915 1921
29. V.Yu. Zaitsev, and P. Sas Dissipation in microinhomogeneous solids: inherent amplitude-dependent attenuation of a non-hysteretic and non-frictional type Acustica-Acta Acustica 86 2000 429 445
30. V.E. Nazarov Dissipative acoustic nonlinearity of polycrystalline zinc Acoust. Phys. 47 2001 438 447
31. K. Van Den Abeele, P.A. Johnson, and A. Sutin Nonlinear elastic wave spectroscopy (NEWS) techniques to discern material damage. Pt I: nonlinear wave modulation spectroscopy (NWMS) Res. Nondestruct. Eval. 12 2000 17 30
32. V. Gusev Parametric attenuation and amplification of acoustics signals in the media with hysteretic quadratic nonlinearity Phys. Lett. A 271 2000 100 109
33. V. Gusev, and V.Yu. Zaitsev Acoustic dither injection in a medium with hysteretic quadratic nonlinearity Phys. Lett. A 314 2003 117 125
34. V. Aleshin, V. Gusev, and V.Yu. Zaitsev Propagation of acoustic waves of non-simplex form in a material with hysteretic quadratic nonlinearity: analysis and numerical simulation J. Comp. Acoust. 12 2004 319 354
35. V. Aleshin, V. Gusev, and V. Zaitsev Propagation of initially bi-harmonic sound waves in a 1D semi-infinite medium with hysteretic non-linearity Ultrasonics 42 2004 1053 1059
36. I.D. Mayergoyz Hysteresis models from the mathematical and control theory points of view J. Appl. Phys. 57 1985 3803 3806
37. F. Preisach Über die magnetische Nachwirkung Z. Phys. 94 1935 277
38. M. Krasnoselskii, and A. Pokrovskii Systems with hysteresis 1983 Nauka Moscow
39. I. Mayergoyz Mathematical models of hysteresis and their applications 2003 Elsevier
40. K.R. McCall, and R.A. Guyer Equation of state and wave propagation in hysteretic nonlinear elastic material J. Geophys. Res. 99 1994 23887 23897
41. V. Gusev, and V. Aleshin Strain wave evolution equation for nonlinear propagation in materials with mesoscopic mechanical elements J. Acoust. Soc. Am. 112 2002 2666 2679
42. R.A. Guyer, K.R. McCall, G.N. Boitnott, L.B. Hilbert, and T.J. Plona Quantitative implementation of Preisach-Mayergoyz space to find static and dynamic elastic moduli in rock J. Geophys. Res. 102 1997 5281 5293
43. V.E. Gusev, W. Lauriks, and E. Thoen Dispersion of nonlinearity, nonlinear dispersion and absorption of sound in micro-inhomogeneous materials J. Acoust. Soc. Am. 103 1998 3216 3226
44. A.N. Tutuncu, A.L. Polio, A.R. Gregory, and M.M. Sharma Nonlinear viscoelastic behavior of sedimentary rocks, Pt. I: effect of frequency and wave amplitude Geophysics 63 1998 184 194