Observation of Stress Field Around an Oscillating Crack Tip in a Quenched Thin Glass Plate

The variation of stress field around an oscillating crack tip in a quenched thin glass plate is observed using instantaneous phase-stepping photoelasticity. The successive images around the propagating crack are recorded by a CCD camera that is equipped with a pixelated micro-retarder array. Then, the phase maps of the principal stress difference and the principal direction are easily obtained even though the photoelastic fringes cannot be visualized. The path of the crack growth as well as the stress intensity factors and the crack tip constraint are obtained from these phase distributions. Results show that the mode I stress intensity factor and the crack tip constraint vary remarkably with the crack growth. In addition, the results show that the mode-II stress intensity factor exists even though the crack propagates smoothly.

[1]  Eran Bouchbinder,et al.  Dynamical instabilities of quasistatic crack propagation under thermal stress. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Hayakawa Numerical study of oscillatory crack propagation through a two-dimensional crystal. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  M. S. Dadkhah,et al.  Dynamic crack curving and branching under biaxial loading , 1987 .

[4]  J. Rice,et al.  Slightly curved or kinked cracks , 1980 .

[5]  Bahr,et al.  Oscillatory instability in thermal cracking: A first-order phase-transition phenomenon. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  R. J. Sanford,et al.  A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns , 1979 .

[7]  Hisao Kikuta,et al.  Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array , 2005 .

[8]  C. P. Burger,et al.  A photoelastic determination of stress-intensity factors under thermal stresses , 1990 .

[9]  B. Perrin,et al.  DYNAMICS OF QUASISTATIC DIRECTIONAL CRACK GROWTH , 1998 .

[10]  Heslot,et al.  Experimental study of quasistatic brittle crack propagation. , 1995, Physical review letters.

[11]  M. Sano,et al.  Transition between crack patterns in quenched glass plates , 1993, Nature.

[12]  Albert S. Kobayashi,et al.  Handbook on experimental mechanics , 1987 .

[13]  James G. Goree,et al.  T-stress based fracture model for cracks in isotropic materials , 1998 .

[14]  Hisao Kikuta,et al.  Instantaneous phase-stepping photoelasticity for the study of crack growth behaviour in a quenched thin glass plate , 2006 .

[15]  Nakanishi,et al.  Oscillatory instability of crack propagations in quasistatic fracture. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  Satyandra K. Gupta,et al.  Evaluation of stress field parameters in fracture mechanics by photoelasticity—Revisited , 1997 .

[17]  Hisao Kikuta,et al.  Evaluating crack tip stress field in a thin glass plate under thermal load , 2008 .

[18]  Marder Instability of a crack in a heated strip. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Sandro Barone,et al.  A review of automated methods for the collection and analysis of photoelastic data , 1998 .

[20]  Hisao Kikuta,et al.  Simultaneous observation of phase-stepped photoelastic fringes using a pixelated microretarder array , 2006 .

[21]  Alan Needleman,et al.  Oscillatory crack growth in glass , 1999 .

[22]  R. Gan,et al.  Proceedings of the SEM Annual Conference and Exposition on Experimental and Applied Mechanics 2007 , 2007 .

[23]  K. Ravi-Chandar,et al.  Crack path instabilities in a quenched glass plate , 2001 .

[24]  Asher A. Rubinstein,et al.  Mechanics of the crack path formation , 1991 .

[25]  I. Miskioglu,et al.  Photothermoelastic analysis of transient thermal stresses , 1982 .

[26]  Masaki Sano,et al.  Instabilities of quasi-static crack patterns in quenched glass plates , 1997 .

[27]  Pomeau.,et al.  Crack instabilities of a heated glass strip. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[28]  Eann A. Patterson,et al.  Optical analysis of crack tip stress fields: a comparative study , 2004 .