Fatigue crack detection in pipes with multiple mode nonlinear guided waves

This study elaborates fundamental differences in fatigue crack detection using nonlinear guided waves between plate and pipe structures and provides an effective approach for analysing nonlinearity in pipe structures. For this purpose, guided wave propagation and interaction with microcrack in a pipe structure, which introduced a contact acoustic nonlinearity, was analysed through a finite element analysis in which the material nonlinearity was also included. To validate the simulation results, experimental testing was performed using piezoelectric transducers to generate guided waves in a specimen with a fatigue crack. Both methods revealed that the second harmonic wave generated by the breathing behaviour of the microcrack in a pipe had multiple wave modes, unlike the plate scenario using nonlinear guided waves. Therefore, a proper index which considered all the generated wave modes due to the microcrack was developed to quantify the nonlinearity, facilitating the identification of microscale damage and further assessment of the severity of the damage in pipe structures.

[1]  J. Richardson,et al.  Harmonic generation at an unbonded interface—I. Planar interface between semi-infinite elastic media , 1979 .

[2]  Oleg V. Rudenko,et al.  Nonlinear acoustic properties of a rough surface contact and acoustiodiagnostics of a roughness height distribution , 1994 .

[3]  Peter Cawley,et al.  The Effect of Discontinuities on the Long-range Propagation of Lamb Waves in Pipes , 1996 .

[4]  M. Lowe,et al.  The Reflection of Guided Waves From Circumferential Notches in Pipes , 1998 .

[5]  M. Lowe,et al.  The Mode Conversion of a Guided Wave by a Part-Circumferential Notch in a Pipe , 1998 .

[6]  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.

[7]  N. Popplewell,et al.  Scattering of guided waves by circumferential cracks in composite cylinders , 2002 .

[8]  G. Busse,et al.  CAN: an example of nonclassical acoustic nonlinearity in solids. , 2002, Ultrasonics.

[9]  Mark F. Hamilton,et al.  Finite-amplitude waves in isotropic elastic plates , 2003 .

[10]  Peter Cawley,et al.  THE REFLECTION OF GUIDED WAVES FROM NOTCHES IN PIPES: A GUIDE FOR INTERPRETING CORROSION MEASUREMENTS , 2004 .

[11]  Mark F. Hamilton,et al.  Finite amplitude waves in isotropic elastic waveguides with arbitrary constant cross-sectional area , 2005 .

[12]  Laurence J. Jacobs,et al.  Experimental characterization of fatigue damage in a nickel-base superalloy using nonlinear ultrasonic waves , 2006 .

[13]  M. Deng,et al.  Assessment of accumulated fatigue damage in solid plates using nonlinear Lamb wave approach , 2007 .

[14]  C. Bermes,et al.  Experimental characterization of material nonlinearity using Lamb waves , 2007 .

[15]  Laurence J. Jacobs,et al.  Evaluation of fatigue damage using nonlinear guided waves , 2009 .

[16]  Peter W. Tse,et al.  Semi-Quantitative Analysis of Defect in Pipelines through the Use of Technique of Ultrasonic Guided Waves , 2009 .

[17]  L. Jacobs,et al.  Characteristics of second harmonic generation of Lamb waves in nonlinear elastic plates. , 2010, The Journal of the Acoustical Society of America.

[18]  Peter W. Tse,et al.  Evaluation of pipeline defect's characteristic axial length via model-based parameter estimation in ultrasonic guided wave-based inspection , 2011 .

[19]  Laurence J. Jacobs,et al.  Experimental characterization of efficient second harmonic generation of Lamb wave modes in a nonlinear elastic isotropic plate , 2011 .

[20]  Alexander Velichko,et al.  Accurate finite element modelling of guided wave scattering from irregular defects , 2012 .

[21]  Yang Liu,et al.  Interaction of torsional and longitudinal guided waves in weakly nonlinear circular cylinders. , 2013, The Journal of the Acoustical Society of America.

[22]  Peter W. Tse,et al.  Characterization of pipeline defect in guided-waves based inspection through matching pursuit with the optimized dictionary , 2013 .

[23]  Vamshi Krishna Chillara,et al.  Analysis of second harmonic guided waves in pipes using a large-radius asymptotic approximation for axis-symmetric longitudinal modes. , 2013, Ultrasonics.

[24]  Qiang Wang,et al.  Modeling nonlinearities of ultrasonic waves for fatigue damage characterization: theory, simulation, and experimental validation. , 2014, Ultrasonics.

[25]  Joseph L. Rose,et al.  Higher order interaction of elastic waves in weakly nonlinear hollow circular cylinders. II. Physical interpretation and numerical results , 2014 .

[26]  Tadeusz Uhl,et al.  Modelling of nonlinear crack–wave interactions for damage detection based on ultrasound—A review , 2014 .

[27]  Ying Wang,et al.  Modelling of Guided Wave Propagation with Spectral Element: Application in Structural Engineering , 2014 .

[28]  Younho Cho,et al.  Thermal Fatigue Damage Assessment in an Isotropic Pipe Using Nonlinear Ultrasonic Guided Waves , 2014 .

[29]  Joseph L. Rose,et al.  Higher order interaction of elastic waves in weakly nonlinear hollow circular cylinders. I. Analytical foundation , 2014 .

[30]  M. Deng,et al.  Experimental Observation of Cumulative Second-Harmonic Generation of Circumferential Guided Wave Propagation in a Circular Tube* , 2015 .

[31]  Hoon Sohn,et al.  Locating fatigue damage using temporal signal features of nonlinear Lamb waves , 2015 .

[32]  Anthony J. Croxford,et al.  Monitoring fatigue crack growth using nonlinear ultrasonic phased array imaging , 2017 .

[33]  Ye Lu,et al.  Nonlinear Lamb waves for fatigue damage identification in FRP‐reinforced steel plates , 2017, Ultrasonics.

[34]  Hyung Jin Lim,et al.  Necessary Conditions for Nonlinear Ultrasonic Modulation Generation Given a Localized Fatigue Crack in a Plate-Like Structure , 2017, Materials.

[35]  C. Ng,et al.  Modelling and analysis of nonlinear guided waves interaction at a breathing crack using time-domain spectral finite element method , 2017 .

[36]  Xiaoming Wang,et al.  Guided waves for damage identification in pipeline structures: A review , 2017 .

[37]  Carlos E S Cesnik,et al.  Modeling of nonlinear interactions between guided waves and fatigue cracks using local interaction simulation approach. , 2017, Ultrasonics.

[38]  A. Kotousov,et al.  Influence of crack opening and incident wave angle on second harmonic generation of Lamb waves , 2018 .

[39]  Carlos E. S. Cesnik,et al.  Local Interaction Simulation Approach for Efficient Modeling of Linear and Nonlinear Ultrasonic Guided Wave Active Sensing of Complex Structures , 2018 .

[40]  H. Sohn,et al.  Second harmonic generation at fatigue cracks by low-frequency Lamb waves: experimental and numerical studies , 2018 .