Advertisement

Instantaneous Phase-Stepping Photoelasticity and Hybrid Stress Analysis for a Curving Crack Under Thermal Load

  • S. Yoneyama
  • K. Sakaue
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

Stress fields around an oscillating crack tip in a thin plate are analyzed using a hybrid method of photoelasticity and finite element analysis. Instantaneous phase-stepping photoelasticity using a CCD camera equipped with a pixelated micro-retarder array is used for measuring the stress fields around a propagating crack tip in a quenched thin glass plate. The distributions of the principal direction as well as the principal stress difference around a growing crack are obtained. Then, the values of the principal direction and the principal stress difference are used for determining the boundary condition for a local finite element model. Using the boundary condition that is determined from the measurement results inversely, the stress distributions around a crack are evaluated. It is shown that the stresses around the crack tip can be evaluated using the proposed hybrid method. Results show that the proposed hybrid method is effective for the study of crack growth behavior in the quenched glass plate.

Keywords

Stress Intensity Factor Principal Direction Crack Growth Behavior Nodal Force Crack Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Cotterell B, Rice JR (1980) Slightly curved or kinked cracks. Int J Fract 16(2):155–169.2CrossRefGoogle Scholar
  2. 2.
    Hawong JS, Kobayashi AS, Dadkhah MS, Kang BSJ, Ramulu M (1987) Dynamic crack curving and branching under biaxial loading. Exp Mech 27(2):146–153CrossRefGoogle Scholar
  3. 3.
    Rubinstein AA (1991) Mechanics of the crack path formation. Int J Fract 47(4):291–305CrossRefGoogle Scholar
  4. 4.
    Selvarathinam AS, Goree JG (1998) T-stress based fracture model for cracks in isotropic materials. Eng Fract Mech 60(5–6):543–561CrossRefGoogle Scholar
  5. 5.
    Yuse A, Sano M (1993) Transition between crack patterns in quenched glass plates. Nature 362(6418):329–331CrossRefGoogle Scholar
  6. 6.
    Ronsin O, Perrin B (1998) Dynamics of quasistatic directional crack propagation. Phys Rev E 58(6):7878–7886CrossRefGoogle Scholar
  7. 7.
    Yang B, Ravi-Chandar K (2001) Crack path instabilities in a quenched glass plate. J Mech Phys Solids 49(1):91–130MATHCrossRefGoogle Scholar
  8. 8.
    Hayakawa Y (1994) Numerical study of oscillatory crack propagation through a two-dimensional crystal. Phys Rev E 49(3):R1804–R1807MathSciNetCrossRefGoogle Scholar
  9. 9.
    Marder M (1994) Instability of a crack in a heated strip. Phys Rev E 49(1):R51–R54CrossRefGoogle Scholar
  10. 10.
    Sasa S, Sekimoto K, Nakanishi H (1994) Oscillatory instabilities of crack propagations in quasistatic fracture. Phys Rev E 50(3):R1733–R1736CrossRefGoogle Scholar
  11. 11.
    Bahr H-A, Gerbatsch A, Bahr U, Weiss H-J (1995) Oscillatory instability in thermal cracking: a first-order phase-transition phenomena. Phys Rev E 52(1):240–243CrossRefGoogle Scholar
  12. 12.
    Adda-Bedia M, Pomeau Y (1995) Crack instabilities of a heated glass strip. Phys Rev E 52(4):4105–4113CrossRefGoogle Scholar
  13. 13.
    Ferney BD, DeVary MR, Hsia KJ, Needleman A (1999) Oscillatory crack growth in glass. Scr Mater 41(3):275–281CrossRefGoogle Scholar
  14. 14.
    Pomeau Y (2002) Fundamental problems in brittle fracture: unstable cracks and delayed braking. CR Mec 330(4):249–257MATHCrossRefGoogle Scholar
  15. 15.
    Bouchbinder E, Hentschel HE, Procaccia I (2003) Dynamical instabilities of quasistatic crack propagation under thermal stresses. Phys Rev E 68(3):036601CrossRefGoogle Scholar
  16. 16.
    Sakaue K, Takashi M (2006) Experimental investigation of crack path instabilities in a quenched plate. In: Proceedings of the 2006 SEM annual conference and exposition on experimental and applied mechanics. Society for experimental mechanics, Bethel, Paper number 164Google Scholar
  17. 17.
    Smith CW, Kobayashi AS (1993) Experimental fracture mechanics. In: Kobayashi AS (ed) Handbook on experimental mechanics. VCH Publishers, New York, pp 905–968Google Scholar
  18. 18.
    Yoneyama S, Sakaue K, Kikuta H, Takashi M (2006) Instantaneous phase-stepping photoelasticity for the study of crack growth behaviour in a quenched thin glass plate. Meas Sci Technol 17(12):3309–3316CrossRefGoogle Scholar
  19. 19.
    Sakaue K, Yoneyama S, Kikuta H, Takashi M (2007) Evaluating crack tip stress field in a thin glass plate under thermal load. Eng Fract Mech 76(13):2011–2024CrossRefGoogle Scholar
  20. 20.
    Yoneyama S, Sakaue K, Kikuta H, Takashi M (2008) Observation of stress field around an oscillating crack tip in a quenched thin glass plate. Exp Mech 48(3):367–374CrossRefGoogle Scholar
  21. 21.
    Sakaue K, Yoneyama S, Takashi M (2009) Study on crack propagation behavior in a quenched glass plate. Eng Fract Mech 76(13):2011–2024CrossRefGoogle Scholar
  22. 22.
    Yoneyama S, Arikawa S, Kobayashi Y (2012) Linear and nonlinear algorithms for stress separation in photoelasticity. Exp Mech 52(5):529–538Google Scholar
  23. 23.
    Yoneyama S, Kikuta H, Moriwaki K (2006) Simultaneous observation of phase-stepped photoelastic fringes using a pixelated microretarder array. Op Eng 45(8):083604CrossRefGoogle Scholar
  24. 24.
    Miskioglu I, Burger CP (1982) Photothermoelastic analysis of transient thermal stresses. Exp Mech 22(3):89–98CrossRefGoogle Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2013

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringAoyama Gakuin UniversitySagamihara, KanagawaJapan
  2. 2.Department of Mechanical EngineeringShibaura Institute of TechnologyKoto, TokyoJapan

Personalised recommendations