Instantaneous phase-stepping photoelasticity for the study of crack growth behaviour in a quenched thin glass plate

A new approach to simultaneous acquisition of phase-stepped photoelastic fringes using a CCD camera equipped with a pixelated micro-retarder array is described for the investigation of time-variant problems. This method is applied to the study of quasi-static crack growth in a quenched thin glass plate. The distributions of the principal direction as well as the principal stress difference around a growing crack tip are obtained by the proposed method. Then, not only the mixed-mode stress intensity factors but also the T-stress are evaluated from the distribution of the principal stress difference, and they are validated using the reconstructed phase maps. The results show that the proposed instantaneous phase-stepping technique is effective for the study of the crack growth behaviour in a thin glass plate.

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

[2]  K. P. Herrmann,et al.  Thermal cracking of two-phase composite structures under uniform and non-uniform temperature distributions , 1992 .

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

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

[5]  D. Gross,et al.  Crack closure and crack path prediction for curved cracks under thermal load , 1993 .

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

[7]  G. S. Phipps,et al.  Optimization of retardance for a complete Stokes polarimeter. , 2000, Optics letters.

[8]  M. Pavier,et al.  The role of T-stress in brittle fracture for linear elastic materials under mixed-mode loading , 2001 .

[9]  Eann A. Patterson,et al.  Simultaneous observation of phase-stepped images for automated photoelasticity , 1998 .

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

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

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

[13]  Motoharu Fujigaki,et al.  Real-time analysis of isochromatics and isoclinics using the phase-shifting method , 2003 .

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

[15]  Eann A. Patterson,et al.  A novel instrument for transient photoelasticity , 2003 .

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

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

[18]  J. R. Lesniak,et al.  Design and evaluation of the poleidoscope: A novel digital polariscope , 2004 .

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

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

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

[22]  Hisao Kikuta,et al.  Optical Elements with Subwavelength Structured Surfaces , 2003 .

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

[24]  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.

[25]  Satoru Yoneyama,et al.  Tricolor photoviscoelastic technique and its application to moving contact , 1998 .

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

[27]  A Asundi,et al.  Dynamic phase-shifting photoelasticity. , 2001, Applied optics.

[28]  Y. Morimoto,et al.  Two-dimensional stress separation using phase-stepping interferometric photoelasticity , 2005 .