13th International Conference on Fracture June 16–21, 2013, Beijing, China -10- The proposed study focus on simple variable loadings and more complex loading conditions require additional study. The current imaging analysis is for surface measurements and 3D imaging technique will be very helpful for the investigation of subsurface behavior near a crack tip. Acknowledgements The research was supported by funds from Air Force Office of Scientific Research: Young Investigator Program (Contract No. FA9550-11-1-0025, Project Manager: Dr. David Stargel). The support is gratefully acknowledged. References [1] P.C. Paris, M.P. Gomez, W.E. Anderson, A Rational Analytic Theory of Fatigue, Trend in Engineering. 13 (1961) 9–14. [2] E. Wolf, Fatigue crack closure under cyclic tension, Engineering Fracture Mechanics. 2 (1970) 37–45. [3] B. Budiansky, J. Hutchinson, Analysis of closure in fatigue crack growth, Journal of Applied Mechanics. 45 (1978) 267–276. [4] J. J.C. Newman, A crack opening stress equation for fatigue crack growth, International Journal of Fracture. 24 (1984) R131–R135. [5] D.E. Macha, D.M. Corbly, J.W. Jones, On the variation of fatigue-crack-opening load with measurement location, Experimental Mechanics. 19 (1979) 207–213. [6] T.T. Shih, R.P. Wei, A study of crack closure in fatigue, Engineering Fracture Mechanics. 6 (1974) 19–32. [7] D. Bouami, D. De Vadder, Detection and measurement of crack closure and opening by an ultrasonic method, Engineering Fracture Mechanics. 23 (1986) 913–920. [8] D.S. Singh, A. Srivastav, S. Gupta, E. Keller, A. Ray, Ultrasonic measurement of crack opening load for life-extending control of mechanical structures, in: 2009 American Control Conference, IEEE, Piscataway, NJ, USA, 2009: pp. 210–215. [9] W. Riddell, R. Piascik, M. Sutton, W. Zhao, S. McNeill, J. Helm, Determining Fatigue Crack Opening Loads from Near-Crack Tip Displacement Measurements, ASTM SPECIAL TECHNICAL PUBLICATION. 1343 (1999) 157–174. [10] N. Fleck, C. Shin, Fatigue crack growth under compressive loading, Engineering Fracture Mechanics. 21 (1985) 173–185. [11] J. Rice, A path independent integral and the approximate analysis of strain concentration by notches and cracks, Journal of Applied Mechanics. 35 (1968) 379–386. [12] W. Zhang, Y. Liu, Plastic zone size estimation under cyclic loadings using in situ optical microscopy fatigue testing, Fatigue & Fracture of Engineering Materials & Structures. 34 (2011) 717–727. [13] W. Zhang, Y. Liu, Investigation of incremental fatigue crack growth mechanisms using in situ SEM testing, International Journal of Fatigue. 42 (2012) 14–23. [14] W. Zhang, Y. Liu, In situ SEM testing for crack closure investigation and virtual crack annealing model development, International Journal of Fatigue. 43 (2012) 188–196.
RkJQdWJsaXNoZXIy MjM0NDE=