Feature-guided waves for monitoring adhesive shear modulus in bonded stiffeners

Adhesively bonded stiffeners are employed in aerospace applications to increase structural stiffness. The potential of feature-guided wave modes for the verification of adhesion and curing state in difficult-to-access regions has been investigated. The properties of guided wave modes propagating along a T-shaped stiffener bonded to an aluminium plate were calculated using the Semi-Analytical Finite Element (SAFE) method. Feature-guided modes dominated by shearing motion were identified to be well suited, with energy concentrated at the stiffener and bond line, limiting energy radiation into the plate and thus maximising inspection length. The influences of the bond line stiffness and thickness on the guided wave behaviour were investigated using SAFE and 3D Finite Element calculations, and found to be significant. Experiments were conducted to measure the properties of the guided waves during the curing of an epoxy joint attaching a stiffener to a plate. The feature-guided mode was excited using a piezo-electric shear transducer and measured using a laser interferometer. The measured phase speed changed significantly during curing. The frequency dependency was found to match well with the SAFE calculations for a variation of the shear (Coulomb) modulus of the adhesive. The potential of the feature-guided shear wave mode for bond line inspection and monitoring has been shown and the choice of guided wave mode and frequency range for good sensitivity to the bond line state discussed.

[1]  Paul D. Wilcox,et al.  Dispersion and excitability of guided acoustic waves in isotropic beams with arbitrary cross section , 2002 .

[2]  Peter B. Nagy,et al.  Nondestructive evaluation of adhesive joints by guided waves , 1989 .

[3]  P. Cawley,et al.  A two-dimensional Fourier transform method for the measurement of propagating multimode signals , 1991 .

[4]  Michel Castaings,et al.  Finite element model for waves guided along solid systems of arbitrary section coupled to infinite solid media. , 2008, The Journal of the Acoustical Society of America.

[5]  Richard L. Weaver,et al.  Propagating and evanescent elastic waves in cylindrical waveguides of arbitrary cross section , 2004 .

[6]  Michael J. S. Lowe,et al.  Elastic waves guided by a welded joint in a plate , 2009, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[7]  D. Thompson,et al.  Review of Progress in Quantitative Nondestructive Evaluation , 1982 .

[8]  R. Challis,et al.  Models of ultrasonic wave propagation in epoxy materials , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[9]  J. P. Sargent,et al.  Corrosion detection in welds and heat-affected zones using ultrasonic Lamb waves , 2006 .

[10]  M. Castaings,et al.  Monitoring of crosslinking of a DGEBA-PAMAM adhesive in composite/aluminium bonded joint using mechanical and ultra-sound techniques , 2012 .

[11]  Prabhu Rajagopal,et al.  On the use of absorbing layers to simulate the propagation of elastic waves in unbounded isotropic media using commercially available Finite Element packages , 2012 .

[12]  L. Gavric Computation of propagative waves in free rail using a finite element technique , 1995 .

[13]  Yoseph Bar-Cohen,et al.  Analysis of leaky Lamb waves in bonded plates , 1989 .

[14]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[15]  R. B. Thompson,et al.  Past experiences in the development of tests for adhesive bond strength , 1991 .

[16]  Ivan Bartoli,et al.  Modeling wave propagation in damped waveguides of arbitrary cross-section , 2006, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[17]  A. Lhémery,et al.  Diffraction Effects on Ultrasonic Guided Waves Radiated or Received By Transducers Mounted on the Section of the Guide , 2006 .

[18]  Trapped modes in topographically varying elastic waveguides , 2007 .

[19]  Stuart B. Palmer,et al.  The measurement of shear and compression waves in curing epoxy adhesives using ultrasonic reflection and transmission techniques simultaneously , 2004 .

[20]  R. E. Challis,et al.  Combined compression and shear wave ultrasonic measurements on curing adhesive , 1998 .

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

[22]  C. Farrar,et al.  Health Monitoring of UAV Wing Skin-to-spar Joints using Guided Waves and Macro Fiber Composite Transducers , 2007 .

[23]  M. Castaings,et al.  Wave propagation along transversely periodic structures. , 2007, The Journal of the Acoustical Society of America.

[24]  S. Rokhlin,et al.  An ultrasonic interface‐wave method for predicting the strength of adhesive bonds , 1981 .

[25]  A. M. Lindrose Ultrasonic wave and moduli changes in a curing epoxy resin , 1978 .

[26]  M. Castaings,et al.  Finite element predictions for the dynamic response of thermo-viscoelastic material structures , 2004 .

[27]  Michel Castaings,et al.  Shear horizontal guided wave modes to infer the shear stiffness of adhesive bond layers. , 2010, The Journal of the Acoustical Society of America.

[28]  Peter Cawley,et al.  The applicability of plate wave techniques for the inspection of adhesive and diffusion bonded joints , 1994 .