Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Brittle fracture analysis of the offset-crack DCDC specimen

  • Ayatollahi, M.R. (Fatigue and Fracture Research Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology) ;
  • Bagherifard, S. (Fatigue and Fracture Research Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology)
  • Received : 2007.08.29
  • Accepted : 2008.03.11
  • Published : 2008.06.20
⟨ Previous Next ⟩

Abstract

Applications of fracture mechanics in the strength analysis of ceramic materials have been lately studied by many researchers. Various test specimens have been proposed in order to investigate the fracture resistance of cracked bodies under mixed mode conditions. Double Cleavage Drilled Compression (DCDC) specimen, with a hole offset from the centerline is a configuration that is frequently used in subcritical crack growth studies of ceramics and glasses. This specimen exhibits a strong crack path stability that is due to the strongly negative T-stress term. In this paper the maximum tensile stress (MTS) criterion is employed for investigating theoretically the initiation of brittle fracture in the DCDC specimen under mixed mode conditions. It is shown that the T-stress has a significant influence on the predicted fracture load and the crack initiation angle. The theoretical results suggest that brittle fracture in the DCDC specimen is controlled by a combination of the singular stresses (characterized by KI and KII) and the non-singular stress term, T-stress.

Keywords

References

  1. Aliha, M.R.M. (2006), "Mixed mode fracture in brittle and quasi-brittle materials", Research Report, Department of Mechanical Engineering, Iran University of Science and Technology
  2. Ayatollahi, M.R. and Bagherifard, S. (2005), "A review of mixed mode test specimens for rock and ceramic materials", The Iranian Mining Eng. Conf., Tehran, Iran, 3, 1451-1464
  3. Ayatollahi, M.R. and Aliha, M.R.M. (2005), "Cracked Brazilian disk specimen subjected to mode II deformation", Eng. Fract. Mech., 72, 493-503 https://doi.org/10.1016/j.engfracmech.2004.05.002
  4. Ayatollahi, M.R. and Aliha, M.R.M. (2006), "On determination of Mode II fracture toughness using semicircular bend specimen", Int. J. Solids Struct., 43, 5217-5227 https://doi.org/10.1016/j.ijsolstr.2005.07.049
  5. Ayatollahi, M.R. and Aliha, M.R.M. (2007), "Fracture toughness study for a brittle rock subjected to mixed mode I/II loading", Int. J. Rock Mech. Min. Sci., 44(4), 617-624 https://doi.org/10.1016/j.ijrmms.2006.10.001
  6. Erdogan, F. and Sih, G.C. (1963), "On the crack extension in plates under plane loading and transverse shear", T. ISME J. Basic Eng., 519-525
  7. Fett, T., Gerteisen, G., Hahnenberger, S., Martin, G. and Munz, D. (1995), "Fracture tests for ceramics under mode-I, mode-II and mixed-mode loading", J. Euro. Ceram. Soc., 15, 307-312 https://doi.org/10.1016/0955-2219(95)90353-K
  8. Fett, T. and Munz, D. (2003), " T-stress and crack path stability of DCDC specimens", Int. J. Fract., 124, L165-L170 https://doi.org/10.1023/B:FRAC.0000009324.91532.fb
  9. Fett, T. and Rizzi, G. (2005), "A fracture mechanics analysis of the DCDC specimen", Institut fur Materialforschung, Karlsruhe GmbH
  10. Fett, T., Rizzi, G. and Munz, D. (2005), "T-stress solution For DCDC specimens", Eng. Fract. Mech., 72, 145-149 https://doi.org/10.1016/j.engfracmech.2004.03.006
  11. He, M.Y., Turner, M.R. and Evans, A.G. (1995), "Analysis of the double cleavage drilled compression specimen for interface fracture energy measurements over a range of mode mixities", Acta Metall. Mater., l43(9), 3453-3458
  12. Hussain, M.A., Pu, S.L. and Underwood, J. (1974), "Strain energy release rate for a crack under combined mode I and mode II Fracture analysis", ASTM Spec. Tech. Pub., 560, 2-28
  13. Janssen, C. (1974), "Specimen for fracture mechanics studies on glass", in proc, 10Th Int. Cong. on glass, Kyoto, Japan, Ceramic society of Japan, Tokyo, 10.23-10.30
  14. Janssen, C. (1980), "Fracture characteristics of the DCDC specimen", Report no. R8074, Corning Glass Works, Corning, N.Y.
  15. Lardner, T.J., Chacravarthy, S.S., Quinn, J.D. and Ritter, J.E. (2001), "Further Analysis of the DCDC specimen with an offset hole", Int. J. Fract., 109, 227-237 https://doi.org/10.1023/A:1011073402984
  16. Lim, I.L., Johnston, I.W., Choi, S.K. and Boland, J.N. (1994), "Fracture testing of a soft rock with semi-circular specimens under three-point bending Part 2-mixed mode", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 31(3), 199-212
  17. Meguid, S.A. (1989), Fracture Mechanics, Elsevier science Pub.
  18. Michalske, T.A., Smith, W.L. and Chen, P. (1993), "Stress intensity calibration for the double cleavage drilled compression specimen", Eng. Fract. Mech., 45(5), 673-642
  19. Ritter, J.E., Fox, J.R., Hutko, D.I. and Lardner, T.J. (1998), "Moisture-assisted crack growth at epoxy-glass interfaces", J. Mater. Sci., 33, 4581-4588 https://doi.org/10.1023/A:1004477006957
  20. Ritter, J.E., Huseinovic, A., Chacravarthy, S.S. and Lardner, T.J. (2000), "Subcritical crack growth in soda-lime glass under mixed-mode loading" , J. Am. Ceram. Soc., 83(8), 2109-2111 https://doi.org/10.1111/j.1151-2916.2000.tb01525.x
  21. Sih, G.C. (1973), "Some basic problems in fracture mechanics and new concepts", Eng. Fract. Mech., 5, 365-377 https://doi.org/10.1016/0013-7944(73)90027-1
  22. Smith, W.L. (1987), "An automated test system for studying slow crack growth in glass", Closed Loop Mag., Spring 18
  23. Suresh, S. Shih, C.F., Morrone, A. and O'Dowd, N.P. (1990), "Mixed-Mode fracture toughness of ceramic materials", J. Am. Ceram. Soc., 73(5), 1257-67 https://doi.org/10.1111/j.1151-2916.1990.tb05189.x
  24. Smith, D.J., Ayatollahi, M.R. and Pavier, M.J. (2001), "The role of T-stress in brittle fracture for linear elastic materials under mixed-mode loading", Fatigue Fract. Eng. Mater. Struct., 24, 137-150 https://doi.org/10.1046/j.1460-2695.2001.00377.x
  25. Smith, D.J., Ayatollahi, M.R. and Pavier, M.J. (2006), "On the consequences of T-stress in elastic brittle fracture", Proceedings of the Royal Society A, 462, 2415-2437
  26. Turner, M.R., Dalgleish, B.J., He, M.Y. and Evans, A.G. (1995), "A Fracture resistance measurement method for bimaterial interfaces having large debond energy", Acta. Metal. Mater., 43(9), 3459-3465 https://doi.org/10.1016/0956-7151(95)00037-V

Cited by

  1. A review of T-stress and its effects in fracture mechanics vol.134, 2015, https://doi.org/10.1016/j.engfracmech.2014.10.013