ÉTUDE EXPÉRIMENTALE ET NUMÉRIQUE DE L'INTERACTION DES ONDES DE LAMB EN PRÉSENCE D'ENDOMMAGEMENTS DANS DES STRUCTURES D'ALUMINIUM

Le Controle Non Destructif dans le domaine d'aeronautique connait un fort developpement. En particulier, les systemes de Controle Sante Integre par ondes de Lamb permettent une inspection rapide et continue des structures de type plaque. Ce travail est consacre a la comprehension des phenomenes physiques de l'interaction des ondes de Lamb en presence d'endommagements dans des structures d'aluminium. Les endommagements etudies correspondent a des variations d'epaisseurs et a des encoches symetriques et asymetriques. Dans un premier temps, un seul mode est genere a l'emission c'est-a-dire, soit le mode A0, soit le mode S0, ceci afin de simplifier l'interpretation physique des phenomenes d'interactions. De plus, pour analyser les modes issus de l'interaction avec l'endommagement, une methode hybride (MEF – analytique) donnant les coefficients de reflexion et de transmission en puissance des modes de Lamb est developpee. La separation des modes dans la structure est effectuee a l'aide d'une technique simple basee sur l'addition et la soustraction des deplacements calcules sur les faces opposees de la plaque. Ce travail montre qu'il est souvent possible de comprendre et de quantifier l'interaction d'un mode de Lamb en presence d'un endommagement complexe uniquement a partir des calculs realises pour des endommagements elementaires. Dans un deuxieme temps, un systeme experimental de CSI est propose. La selection d'un mode de Lamb a l'emission est assuree par deux capteurs piezoelectriques places sur les deux faces opposees de la structure. Les resultats experimentaux sont confrontes avec succes aux resultats numeriques et permettent de concevoir un systeme optimal.

[1]  J. Achenbach,et al.  Numerical analysis of the acoustic signature of a surface-breaking crack , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[2]  M.J.S. Lowe,et al.  Matrix techniques for modeling ultrasonic waves in multilayered media , 1995, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[3]  Sébastien Grondel Contribution à l’optimisation du contrôle santé intégré par ondes de Lamb : Application à la surveillance de structures aéronautiques , 2000 .

[4]  B. Auld,et al.  Acoustic fields and waves in solids , 1973 .

[5]  Peter Cawley,et al.  A 2-dimensional Fourier transform method for the quantitative measurement of Lamb modes , 1990, IEEE Symposium on Ultrasonics.

[6]  Jan Drewes Achenbach,et al.  Lamb waves as thickness vibrations superimposed on a membrane carrier wave , 1998 .

[7]  J.F.M. Scott,et al.  On the determination of the roots of dispersion equations by use of winding number integrals , 1991 .

[8]  Michel Castaings,et al.  The interaction of the S0 Lamb mode with vertical cracks in an aluminium plate. , 2002, Ultrasonics.

[9]  Hayashi,et al.  Calculation and visualization of Lamb wave motion , 2000, Ultrasonics.

[10]  Zensheu Chang,et al.  Lap-joint inspection using plate waves , 1996, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[11]  D. O. Thompson,et al.  Review of Progress in Quantitative Nondestructive Evaluation , 1985 .

[12]  A. Nayfeh The general problem of elastic wave propagation in multilayered anisotropic media , 1991 .

[13]  Pedro Acevedo,et al.  Pulse propagation in plate elements , 2003 .

[14]  J. L. Rose,et al.  Source influence parameters on elastic guided waves in an orthotropic plate , 1996 .

[15]  N. A.N.,et al.  SCATTERING OF FLEXURAL WAVES ON THIN PLATES , 2022 .

[16]  Jan Drewes Achenbach,et al.  A Strip Element Method for Stress Analysis of Anisotropic Linearly Elastic Solids , 1994 .

[17]  P. Cawley,et al.  The low-frequency reflection and scattering of the S0 Lamb mode from a circular through-thickness hole in a plate: Finite Element, analytical and experimental studies. , 2002, The Journal of the Acoustical Society of America.

[18]  J. Rose,et al.  Lamb wave scattering analysis for reflector characterization , 1997, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[19]  Peter Cawley,et al.  Prediction and measurement of the reflection of the fundamental anti-symmetric Lamb wave from cracks and notches , 2000 .

[20]  P. Cawley,et al.  The low frequency reflection characteristics of the fundamental antisymmetric Lamb wave a0 from a rectangular notch in a plate. , 2002, The Journal of the Acoustical Society of America.

[21]  J. Achenbach,et al.  Wave motion in an isotropic elastic layer generated by a time-harmonic point load of arbitrary direction , 1999 .

[22]  Thierry Demol Etude de transducteurs en barrette adaptés au contrôle santé par ondes de Lamb de structures aéronautiques composites : application a la caractérisation de l'impact basse vitesse , 1998 .

[23]  Paul Fromme Defect detection in plates using guided waves , 2001 .

[24]  Takahiro Hayashi,et al.  Multiple reflections of Lamb waves at a delamination. , 2002, Ultrasonics.

[25]  D. Chimenti,et al.  Free Wave Propagation in Plates of General Anisotropic Media , 1989 .

[26]  Yan Li,et al.  Influence of anisotropy on the dispersion characteristics of guided ultrasonic plate modes , 1990 .

[27]  M. Lowe,et al.  Low-frequency reflection characteristics of the s0 lamb wave from a rectangular notch in a plate. , 2002, The Journal of the Acoustical Society of America.

[28]  J. Dumont-Fillon Contrôle non destructif (CND) , 1996, Contrôle non destructif.

[29]  John F. Dorighi,et al.  Extensional and Flexural Waves in a Thin-Walled Graphite/Epoxy Tube* , 1992 .

[30]  B. Culshaw,et al.  Broadband Lamb wave measurements in aluminium and carbon/glass fibre reinforced composite materials using non-contacting laser generation and detection , 1997 .

[31]  Andrew N. Norris,et al.  FLEXURAL WAVE PROPAGATION AND SCATTERING ON THIN PLATES USING MINDLIN THEORY , 1997 .

[32]  M. Hinders,et al.  LAMB WAVE SCATTERING FROM A THROUGH HOLE , 1999 .

[33]  L. Wang,et al.  Scattering of elastic waves by a crack in a isotropic plate , 1997 .

[34]  J. Rose Ultrasonic Waves in Solid Media , 1999 .

[35]  Pier Paolo Delsanto,et al.  Analysis of stability and convergence in FD simulations of the 1-D ultrasonic wave propagation , 1997 .

[36]  P. Cawley,et al.  The interaction of Lamb waves with defects , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[37]  Martin Veidt,et al.  Single mode Lamb waves in composite laminated plates generated by piezoelectric transducers , 2002 .

[38]  Emmanuel Moulin,et al.  Contribution à l'étude de la génération d'ondes de Lamb par transducteurs piézoélectriques intégrés : Application à la modélisation de matériaux sensibles , 1999 .

[39]  X. Jia Modal analysis of Lamb wave generation in elastic plates by liquid wedge transducers , 1997 .

[40]  I. A. Viktorov Rayleigh and Lamb Waves , 1967 .

[41]  A. Ryaboval,et al.  Ultrasonic transducers for non-destructive testing of composites: Ukrainian Research Institute of Manufacturing Engineering, Non-destructive Testing Department, 46 Kirova Av., Dniepropetrovsk, 320054, Ukraine , 1992 .

[42]  Study of fundamental Lamb modes behaviour with a sharp change of section in a plate , 2006 .

[43]  Joseph L. Rose,et al.  An elastodynami`c hybrid boundary element study for elastic guided wave interactions with a surface breaking defect , 2000 .

[44]  Nicolas Wilkie-Chancellier Réflexion et conversion d'une onde de Lamb à l'extrémité biseautée d'une plaque , 2003 .

[45]  Joseph L. Rose,et al.  Boundary element modeling for guided wave reflection and transmission factor analyses in defect classification , 1998, 1998 IEEE Ultrasonics Symposium. Proceedings (Cat. No. 98CH36102).

[46]  Pierrick Blanquet Etude de l'endommagement des matériaux composites aéronautiques à partir de techniques ultrasonores , 1997 .

[47]  P. Cawley,et al.  The interaction of Lamb waves with delaminations in composite laminates , 1993 .

[48]  H. Lamb On waves in an elastic plate , 1917 .

[49]  Frédéric de Coulon,et al.  Théorie et traitement des signaux , 1984 .

[50]  Emmanuel Moulin,et al.  Directivity of integrated piezoelectric Lamb wave sources , 2001, 2001 IEEE Ultrasonics Symposium. Proceedings. An International Symposium (Cat. No.01CH37263).

[51]  Huai Min Shang,et al.  A Strip Element Method for Analyzing Wave Scattering by a Crack in an Immersed Composite Laminate , 1999 .

[52]  T. Grahn Lamb wave scattering from a circular partly through-thickness hole in a plate , 2003 .

[53]  D. Worlton,et al.  ULTRASONIC TESTING WITH LAMB WAVES , 1956 .

[54]  David Devillers,et al.  Shearographic imaging of the ultrasonic wave and defect interaction in plates: Comparison between computation and experiment , 2000 .

[55]  P. Fromme,et al.  Detection of cracks at rivet holes using guided waves. , 2002, Ultrasonics.

[57]  Jan Drewes Achenbach,et al.  Use of elastodynamic reciprocity to analyze point-load generated axisymmetric waves in a plate , 1999 .

[58]  Lowe,et al.  The transmission of Lamb waves across adhesively bonded lap joints , 2000, The Journal of the Acoustical Society of America.

[59]  The measurements and prediction of Lamb wave interaction with defects , 1991, IEEE 1991 Ultrasonics Symposium,.

[60]  Z. Chang,et al.  Scattering of Lamb waves from a rivet hole with edge cracks , 1999 .

[61]  J F Imbert,et al.  ANALYSE DES STRUCTURES PAR ELEMENTS FINIS , 1979 .

[62]  M. Hinders,et al.  Ultrasonic Lamb wave diffraction tomography. , 2001, Ultrasonics.