A combined finite element and modal decomposition method to study the interaction of Lamb modes with micro-defects.

This paper presents a combined finite element and modal decomposition method to study the interaction of Lamb waves with damaged area. The finite element mesh is used to describe the region around the defects. On the contrary to other hybrid models already developed, the interaction between Lamb waves and defects is computed in the temporal domain. Then, the modal decomposition method permits to determine the wave reflected and transmitted by the damaged area. Modal analysis allows also identifying the mode conversions induced by the defects. These numerical results agree with previous finite element results concerning the interaction of Lamb modes with a notch. Experiments, carried out with gauged defects on an aluminum plate, are also compared to numerical predictions to validate the simulation. Compared to classical techniques of simulation, this new method allows us to investigate the interaction of Lamb modes generated at high frequency-thickness product with micro-defects as corrosion pitting.

[1]  A. H. Shah,et al.  Scattering of lamb waves by a normal rectangular strip weldment , 1991 .

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

[3]  Michel Castaings,et al.  Modal decomposition method for modeling the interaction of Lamb waves with cracks. , 2002, The Journal of the Acoustical Society of America.

[4]  D. Royer,et al.  Elastic waves in solids , 1980 .

[5]  Peter Cawley,et al.  Reflection and scattering of the S0 Lamb mode from 3-D circular defects in plates , 2002 .

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

[7]  Gui-Rong Liu A combined finite element/strip element method for analyzing elastic wave scattering by cracks and inclusions in laminates , 2002 .

[8]  Ramón Abascal,et al.  Boundary element solution for the bidimensional scattering of guided waves in laminated plates , 2005 .

[9]  Pius Kirrmann,et al.  On the completeness of Lamb modes , 1994 .

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

[11]  S. W. Liu,et al.  Transient Scattering of Rayleigh-Lamb Waves by Surface-Breaking and Buried Cracks in a Plate , 1992 .

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

[13]  D. Royer,et al.  Optical probing of the mechanical impulse response of a transducer , 1986 .

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

[15]  Arvind H. Shah,et al.  Scattering of Lamb Waves in a Composite Plate , 1991 .

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

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