Evaluation of effective elastic properties of layered composite fiber-reinforced plastic plates by piezoelectrically induced guided waves and laser Doppler vibrometry

Abstract An approach to non-destructive evaluation of laminate composite plate elastic properties based on piezoelectrically induced elastic guided waves and laser Doppler vibrometry is presented and discussed. The reconstruction procedure is based on the genetic algorithm minimization of an objective function defined by the set of elastic moduli of the composite prepregs. The objective function defines discrepancy between theoretically calculated and experimentally measured dispersion characteristics of guided waves generated in the laminate anisotropic plate by piezoelectric wafer active sensors. The input data used for the identification are group velocities or wavelengths of the fundamental Lamb waves measured at varying excitation frequencies and propagation directions. The proposed approach has been experimentally tested on unidirectional and cross-ply carbon-fiber reinforced plastic plates and validated by conventional tensile tests.

[1]  Xu Han,et al.  An inverse procedure for determination of material constants of composite laminates using elastic waves , 2002 .

[2]  Gerhard Mook,et al.  Laser-vibrometric analysis of propagation and interaction of lamb waves in CFRP-plates , 2013 .

[3]  Hauke Gravenkamp,et al.  A numerical approach for the computation of dispersion relations for plate structures using the Scaled Boundary Finite Element Method , 2012 .

[4]  W. Paepegem,et al.  Identification of the Elastic Properties of Isotropic and Orthotropic Thin-Plate Materials with the Pulsed Ultrasonic Polar Scan , 2014, Experimental Mechanics.

[5]  E. Barbero,et al.  Benchmark Solution for Degradation of Elastic Properties due to Transverse Matrix Cracking in Laminated Composites , 2013 .

[6]  Kalmanje Krishnakumar,et al.  Micro-Genetic Algorithms For Stationary And Non-Stationary Function Optimization , 1990, Other Conferences.

[7]  Kazuro Kageyama,et al.  Guided Wave and Damage Detection in Composite Laminates Using Different Fiber Optic Sensors , 2009, Sensors.

[8]  Yijun Liu,et al.  Analysis of the shear stress transferred from a partially electroded piezoelectric actuator to an elastic substrate , 2000 .

[9]  G. Neau,et al.  Group velocity of Lamb waves in anisotropic plates: Comparison between theory and experiments , 2001 .

[10]  H. Inoue,et al.  Time Frequency Analysis of Dispersive Waves by Means of Wavelet Transform , 1995 .

[11]  Zhongqing Su,et al.  Fundamental Lamb Mode-based Delamination Detection for CF/EP Composite Laminates Using Distributed Piezoelectrics , 2004 .

[12]  M. Neumann,et al.  Quasi-Continuous Mode Conversion of Lamb Waves in CFRP Plates Due to Inhomogeneity on Micro and Meso Scale , 2014 .

[13]  Keith Worden,et al.  An optimisation scheme based on the local interaction simulation approach and Lamb waves for elastic property estimation in multi-layered composites , 2012 .

[14]  Rolf Lammering,et al.  Identification and Avoidance of Systematic Measurement Errors in Lamb Wave Observation With One‐Dimensional Scanning Laser Vibrometry , 2013 .

[15]  Oliver Nelles,et al.  Multi-site damage localization in anisotropic plate-like structures using an active guided wave structural health monitoring system , 2010 .

[16]  Igor Solodov,et al.  New Opportunities in Ultrasonic Characterization of Stiffness Anisotropy in Composite Materials , 2013 .

[17]  Lingyu Yu,et al.  Lamb wave frequency–wavenumber analysis and decomposition , 2014 .

[18]  Krishnan Balasubramaniam,et al.  Genetic algorithm based reconstruction of the elastic moduli of orthotropic plates using an ultrasonic guided wave single-transmitter-multiple-receiver SHM array , 2007 .

[19]  K. Lasn,et al.  Experimental determination of elastic constants of an orthotropic composite plate by using lamb waves , 2011 .

[20]  F. Yuan,et al.  Group velocity and characteristic wave curves of Lamb waves in composites: Modeling and experiments , 2007 .

[21]  Lingyu Yu,et al.  Piezoelectric Wafer Active Sensors in Lamb Wave-Based Structural Health Monitoring , 2012 .

[22]  Leif A. Carlsson,et al.  Experimental characterization of advanced composite materials , 1987 .

[23]  W. P. Rogers.  Elastic property measurement using Rayleigh-Lamb waves , 1995 .

[24]  Fu-Kuo Chang,et al.  Adhesive interface layer effects in PZT-induced Lamb wave propagation , 2010 .

[25]  Rolf Lammering,et al.  Group velocity of cylindrical guided waves in anisotropic laminate composites. , 2014, The Journal of the Acoustical Society of America.

[26]  Piervincenzo Rizzo,et al.  Semi-analytical formulation for the guided waves-based reconstruction of elastic moduli , 2011 .

[27]  Claus-Peter Fritzen,et al.  Non-axisymmetric Lamb wave excitation by piezoelectric wafer active sensors , 2012 .

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

[29]  Natalia Glushkova,et al.  Forced wave propagation and energy distribution in anisotropic laminate composites. , 2011, The Journal of the Acoustical Society of America.

[30]  Per S. Frederiksen,et al.  Experimental Procedure and Results for the Identification of Elastic Constants of Thick Orthotropic Plates , 1997 .

[31]  Jianqiao Ye,et al.  Ply cracking and stiffness degradation in cross-ply laminates under biaxial extension, bending and thermal loading , 2006 .

[32]  Hoon Sohn,et al.  Time reversal active sensing for health monitoring of a composite plate , 2007 .

[33]  A. Raghavan,et al.  Guided-wave signal processing using chirplet matching pursuits and mode correlation for structural health monitoring , 2007 .

[34]  Kalyanmoy Deb,et al.  Simulated Binary Crossover for Continuous Search Space , 1995, Complex Syst..

[35]  Alessandro Marzani,et al.  Characterization of the elastic moduli in composite plates via dispersive guided waves data and genetic algorithms , 2013 .