Nonlinear acoustics of micro-inhomogeneous media

Nonlinear acoustics of micro-inhomogeneous media

14h00 Overview of nonlinear acoustics of solids in Le Mans Vitalyi Gusev, Bernard Castagn` ede and Vincent Tournat 14h40 Nonclassical nonlinear frequency conversion for NDE applications

Igor Solodov (IPTPS, Stuttgart University, Allemagne)

15h25 PAUSE

15h45 Simulating earthquake response : induced nonlinear, nonequilibrium dynamics at the Earth’s surface

Paul Johnson (National Lab. at Los Alamos, USA)

16h30 Test of hyperelasticity in highly nonlinear solids : sedimentary rocks

David L. Johnson (Schlumberger Doll, USA)

Overview of the activities in nonlinear acoustics of solids in LAUM

Laboratoire d’Acoustique de l’Universit´ e du Maine UMR-CNRS 6613 Universit´ e du Maine

Le Mans

Mercredi 24 mai 2006

25 ans

1980 1990 2000 2010

Cr´ eation du LAUM Pr´ esent

Acoustique dans les conduits Instruments de musique

Thermo-acoustique Mat´ eriaux poreux

Activit´ es d’ANL dans les solides

Bernard CASTAGNEDE, Pr. 1992 Vitaly GUSEV, Pr. 1997 Vincent TOURNAT, CR CNRS 2000 Rachid EL GUERJOUMA, Pr. 2004 Philippe BEQUIN, MCF 1990

Visiteurs russes

Veniamin NAZAROV, CI 2002

Vladimir ZAITSEV, CI 2000 Alexander SUTIN, CI 2003 Vladimir MOZHAIEV, CI 2005

Alexei MOUSSATOV, Ing. cont. 1997 Mohamed SAEID, Dr. 2002 Laurent FILLINGER, Doct. 2003 Claude INSERRA, Doct. 2004 Vladislav ALESHIN, Post−doc. 2001

1 R´ esultats obtenus

2 Activit´ es de recherches en cours

3 Conclusions

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 5 / 24

Self-demodulation in granular media, mode coupling

PVDF 37 cm

Time (ms)

Time (ms) PVDF 37 cm LP filtered

Microphone 37 cm

A. Moussatov, B. Castagn` ede and V. Gusev, Phys. Lett. A 2001

Dynamic hysteresis in the behavior of individual cracks

Excitation amplitude

Detected amplitude

A. Moussatov, B. Castagn` ede and V. Gusev, Phys. Rev. Lett. 2003

(very similar results have been obtained just few months before with Rayleigh type SAW by I. Solodov et al.)

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 7 / 24

Parametric antenna with diffusive pump waves

0 0.5 1

x 10 ⁻³

−1

−0.5 0 0.5 1

0 0.5 1

x 10 ⁻³

−1

−0.5 0 0.5 1

0 0.5 1

x 10 ⁻³

−1

−0.5 0 0.5 1

0 0.5 1

x 10 ⁻³

−1

−0.5 0 0.5 1

160 kHz

220 kHz 300 kHz

60 kHz (a)

(c)

(b)

(d)

Time (s) Time (s)

Time (s) Time (s)

Amplitudes (a. u.) Amplitudes (a. u.)

Amplitudes (a. u.) Amplitudes (a. u.)

Equation de propagation pour le signal d´ emodul´ e

Equation de propagation pour la densit´ e d’´ energie de pompage

Equation de diffusion pour la densit´ e d’´ energie de pompage

V. Tournat, V.E. Gusev and B. Castagn` ede, Phys. Rev. E 2002

V. Tournat, V.E. Gusev, B. Castagn` ede and P. B´ equin, CR M´ ecanique 2003

Sub-harmonic generation and chaos in granular media

0 20 40 60 80

−100

−80

−60

−40

−20 0

0 20 40 60 80

−100

−80

−60

−40

−20 0

0 20 40 60 80

−100

−80

−60

−40

−20 0

0 20 40 60 80

−100

−80

−60

−40

−20 0

0 20 40 60 80

−140

−120

−100

−80

−60

−40

−20 0 20

1/2 1

3/2 5/2 7/2 3 4 2

Am plit ude s p ectr ale ( dB )

Fr´ equence (Hz)

Am plit ude s p ectr ale ( dB )

Fr´ equence (Hz)

V. Tournat, V.E. Gusev and B. Castagn` ede, Phys. Lett. A 2004

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 9 / 24

Nonlinear effect of modulation transfer : “Luxembourg - Gorky”

V.Yu. Zaitsev, V.E. Gusev and B. Castagn` ede, Phys. Rev. Lett. 2002

Slow logarithmic dynamics of an individual crack

V.Yu. Zaitsev, V.E. Gusev and B. Castagn` ede, Phys. Rev. Lett. 2002

(a slow dynamics has also been observed in materials with many cracks, P. Johnson team for instance)

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 11 / 24

Non monotonous amplitude dynamics in harmonic generation

−35 −30 −25 −20 −15 −10 −5 0

−45

−40

−35

−30

−25

−20

−15

−10

−5 0

−35 −30 −25 −20 −15 −10 −5 0

−45

−40

−35

−30

−25

−20

−15

−10

−5 0

−35 −30 −25 −20 −15 −10 −5 0

−45

−40

−35

−30

−25

−20

−15

−10

−5 0

−35 −30 −25 −20 −15 −10 −5 0

−45

−40

−35

−30

−25

−20

−15

−10

−5 0

−35 −30 −25 −20 −15 −10 −5 0

−45

−40

−35

−30

−25

−20

−15

−10

−5 0

−30 −20 −10 0

−60

−40

−20 0

L V

H

8 kHz 16 kHz

2 3/2

Niv e au d e l’h armo nique 2 lon gitu dina l (dB ) P 0 = 41kPa

Polarisation verticale

P 0 = 60kPa

Polarisation verticale

Niv eau de l’har mon iq ue 2 longitudinal ( dB )

Polarisation horizontale

P 0 = 41kPa

Niveau du signal de pompage (dB)

Niveau du signal de pompage (dB) Niveau du signal de pompage (dB)

V. Tournat, V.E. Gusev, V.Yu. Zaitsev and B. Castagn` ede, Europhys. Lett. 2004

Self-demodulation of shear waves, anisotropy

−40 −35 −30 −25 −20 −15 −10 −5 0

−80

−70

−60

−50

−40

−30

−20

−10

L S

S

80 kHz 5 kHz

Ni v eau du si gnal d ´e m o du l´e (dB )

pente 2

pente 3/2

V

Niveau du signal de pompage (dB)

H P 0 = 7, 2 kPa

V. Tournat, V.Yu. Zaitsev, V.E. Gusev, V.E. Nazarov, P. B´ equin and B. Castagn` ede, Phys. Rev. Lett. 2004

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 13 / 24

“Luxembourg-Gorky” effect in granular media

"sonde"

"pompe"

Pot vibrant

Milieu granulaire

V.Yu. Zaitsev, V.E. Nazarov, V. Tournat, V. Gusev and B. Castagn` ede, Europhys. Lett. 2005

Wave propagation along the free surface of a granular medium

V. Gusev, V. Aleshin and V. Tournat, Phys. Rev. Lett. 2006

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 15 / 24

Parametric antenna in air for porous material characterization

Frequency (Hz) Frequency (Hz)

Phase velocity (m/s)

Model Experiment

Matériau poreux

Transducteur ultrasonore Microphone

B. Castagn` ede, V. Tournat, A. Moussatov and V. Gusev, French Patent 2003

B. Castagn` ede, M. Saeid, A. Moussatov, V. Gusev and V. Tournat, Ultrasonics 2006

1 R´ esultats obtenus

2 Activit´ es de recherches en cours

3 Conclusions

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 17 / 24

Self-modulation in damaged solids

−5 0 5

150 200 250 300 350 400

−5 0 5

−3

−2

−1 0

−5 0 5

−5 0 5

−5 0 5

−5 0 5

−5 0 5

−5 0 5

13 15 17 19

2 4 6 8 10

0 15600 15800 16000

Vitesse (u.a.)

Temps (ms)

−4 0 4

FRF (dB)

Phase (rad) a/F (u.a.)

F<F1 F1<F<F2 F2<F<F3 F3<F

Fr´ equence (Hz)

∆ω ∆ω ∆ω ∆ω

L. Fillinger, V. Zaitsev, V. Gusev and B. Castagn` ede

Nonlinearity of nano-granular structures (synthetic opals)

1e−04 0.001

16500 17000 17500 18000 18500 19000 19500 20000 20500 21000

Frequency (Hz)

Velocity (arb. units)

L. Fillinger, V. Gusev and B. Castagn` ede

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 19 / 24

Nonlinear propagation in ordered granular lattices

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

0 Y 0

Pulsation (norm.)

Nombre d’onde (norm.) Γ

N = 5, c _f = 1.5, k z = 0.5

C. Inserra, V. Tournat, V. Gusev and B. Castagn` ede

Acoustic characterization of granular compaction process

0 5000 10000 15000

0.56 0.57 0.58 0.59 0.6 0.61 0.62 0.63 0.64 0.65

N taps Φ

0 5000 10000 15000

0.005 0.01 0.015 0.02 0.025 0.03

N taps A (V)

C. Inserra, V. Tournat, V. Gusev and B. Castagn` ede

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 21 / 24

Nonlinear interactions in a multiple scattering regime

Time (s) D=10.5 cm

D=12.5 cm D=6.5 cm

Normalized signals (Arb. Units) Intensity profiles (Norm.)

Time (s)

0.005 0.004 0.003 0.002 0.001 0

0.001 0.01 0.1 1

0 0.001 0.002 0.003 0.004 0.005 300 V 100 V 10 V

V. Tournat, V. Gusev, V. Aleshin and B. Castagn` ede

Conclusions

Non linear acoustics of cracks and contacts in LAUM : fundamental studies with applications to CND Experimental + theoretical approaches

International collaborations, mainly with Russia (PAI)

2000-2005 : >40 published articles, >40 conferences (6 invited), 1 patent

ANR project “grANuLar” 2006-2008, DGA 2000-2003 (CND), Areva 2005- (CND)

New participants : R. El Guerjouma, A. Marec, . . .

New topics : acoustic emission, nonlinear opto-thermo-acoustics,

25 ans du LAUM (1981-2006) Nonlinear acoustics of solids Mercredi 24 mai 2006 23 / 24

Bernard CASTAGNEDE, Pr. 1992 Vitaly GUSEV, Pr. 1997 Vincent TOURNAT, CR CNRS 2000 Rachid EL GUERJOUMA, Pr. 2004 Philippe BEQUIN, MCF 1990

Visiteurs russes

Veniamin NAZAROV, CI 2002

Vladimir ZAITSEV, CI 2000 Alexander SUTIN, CI 2003 Vladimir MOZHAIEV, CI 2005

Alexei MOUSSATOV, Ing. cont. 1997 Mohamed SAEID, Dr. 2002 Laurent FILLINGER, Doct. 2003 Claude INSERRA, Doct. 2004 Vladislav ALESHIN, Post−doc. 2001