Evaluation of crack closure stress by analyses of ultrasonic phased array images during global preheating and local cooling

Crack closure stress (CCS) is an important parameter that affects crack propagation rate. However, the method for measuring CCS in practical fields has yet to be developed. In this study, we propose a practical method of estimating CCS. In our experiment, a closed fatigue crack was imaged by a linear phased array (PA) method during crack opening by global preheating and local cooling (GPLC). Here, we assumed that the crack appears in PA images after the thermal stress induced by GPLC exceeds CCS. Therefore, we calculated the thermal stress induced by GPLC using an analytical solution and thereby estimated CCS. Then, to validate the CCS estimation method, we simulated the PA images by a finite difference time domain (FDTD) method with a damped double node (DDN) model, where CCS was relieved by the calculated thermal stress. Consequently, the temporal variation in crack depth observed in the PA image was successfully reproduced in the simulation. Thus, the CCS estimation method was verified by comparing experimental results with analysis results.

[1]  E. Wolf Fatigue crack closure under cyclic tension , 1970 .

[2]  W. Elber The Significance of Fatigue Crack Closure , 1971 .

[3]  A comparison of acoustic and strain gauge techniques for crack closure , 1975 .

[4]  Je Allison,et al.  Measurement of Crack-Tip Stress Distributions by X-Ray Diffraction , 1979 .

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

[6]  IDENTIFICATION OF DISTRIBUTED FATIGUE CRACKING BY DYNAMIC CRACK-CLOSURE , 1995 .

[7]  L. Schmerr Fundamentals of Ultrasonic Nondestructive Evaluation , 1998 .

[8]  Peter B. Nagy,et al.  Enhanced ultrasonic detection of fatigue cracks by laser-induced crack closure , 1998 .

[9]  Tsuyoshi Mihara,et al.  Evaluation of Closed Cracks by Model Analysis of Subharmonic Ultrasound , 2004 .

[10]  Thomas L. Szabo,et al.  Diagnostic Ultrasound Imaging: Inside Out , 2004 .

[11]  A. Steuwer,et al.  High-resolution strain mapping in bulk samples using full-profile analysis of energy-dispersive synchrotron X-ray diffraction data , 2004 .

[12]  Tsuyoshi Mihara,et al.  FATIGUE CRACK CLOSURE ANALYSIS USING NONLINEAR ULTRASOUND , 2004 .

[13]  Tsuyoshi Mihara,et al.  Simulation and Analysis of Subharmonics and Tail Effect for Ultrasonic Nondestructive Evaluation of Closed Cracks , 2005 .

[14]  Tsuyoshi Mihara,et al.  Effect of adhesion force between crack planes on subharmonic and DC responses in nonlinear ultrasound. , 2006, Ultrasonics.

[15]  Y. Ohara,et al.  Imaging of closed cracks using nonlinear response of elastic waves at subharmonic frequency , 2007 .

[16]  M. Saka,et al.  Thermal Opening Technique for Nondestructive Evaluation of Closed Cracks , 2007 .

[17]  P. Lettieri,et al.  An introduction to heat transfer , 2007 .

[18]  Tsuyoshi Mihara,et al.  Erratum: “Ultrasonic Evaluation of Closed Cracks Using Subharmonic Phased Array” , 2008 .

[19]  R. L. Holtz,et al.  Mapping and load response of overload strain fields: Synchrotron X-ray measurements , 2009 .

[20]  M. Saka,et al.  An Effective Method of Local Thermal Treatment for Sensitive NDE of Closed Surface Cracks , 2009 .

[21]  A. Steuwer,et al.  The evolution of crack-tip stresses during a fatigue overload event , 2010 .

[22]  Y. Ohara,et al.  Nonlinear ultrasonic imaging method for closed cracks using subtraction of responses at different external loads. , 2011, Ultrasonics.

[23]  Yoshikazu Ohara,et al.  Two-Dimensional Analyses of Subharmonic Generation at Closed Cracks in Nonlinear Ultrasonics , 2011 .

[24]  Staggered Grid with Collocated Grid Points of Velocities for Modeling Propagation of Elastic Waves in Anisotropic Solids by Finite-Difference Time Domain Method , 2012 .

[25]  Koichi Mizutani,et al.  Nondestructive Inspection for Steel Billet Using Phase-Modulated Signal by Gold Sequence for Improving Measurement Speed , 2012 .

[26]  Yoshikazu Ohara,et al.  Enhancement of Selectivity in Nonlinear Ultrasonic Imaging of Closed Cracks Using Amplitude Difference Phased Array , 2012 .

[27]  Mami Matsukawa,et al.  Nondestructive Evaluation of Plane Crack Tip in a Thin Plate Using Laser-Induced Pulse Wave and Symmetric Lamb Wave , 2012 .

[28]  Yukio Iwaya,et al.  A Hardware-Oriented Finite-Difference Time-Domain Algorithm for Sound Field Rendering , 2013 .

[29]  M. Ikeuchi,et al.  Improvement of Closed Crack Selectivity in Nonlinear Ultrasonic Imaging Using Fundamental Wave Amplitude Difference , 2013 .

[30]  Koichi Mizutani,et al.  Interval of Observation Plane in Visualization of Region near Defects in Billets Using Ultrasonic Computerized Tomography Method (Special Issue : Ultrasonic Electronics) -- (Measurement techniques, imaging, nondestructive evaluation) , 2013 .

[31]  Yoshikazu Ohara,et al.  High-selectivity imaging of closed cracks using elastic waves with thermal stress induced by global preheating and local cooling , 2013 .

[32]  K. Mizutani,et al.  Speeding Up of Nondestructive Inspection for Shape-Distorted Billet by Simultaneous Measurement of Time of Flight , 2013 .

[33]  Hirotsugu Ogi,et al.  Mode Conversion and Total Reflection of Torsional Waves for Pipe Inspection , 2013 .

[34]  Ajit Kumar,et al.  Effect of band-overload on fatigue crack growth rate of HSLA steel , 2015 .