DOI QR코드

DOI QR Code

Study on fracture mechanics of granite specimens with different precast notch depths based on DIC method

  • Shuwen Cao (School of Science, Xi'an University of Architecture and Technology) ;
  • Hao Shu (School of Science, Xi'an University of Architecture and Technology)
  • 투고 : 2022.10.10
  • 심사 : 2023.03.22
  • 발행 : 2023.05.25

초록

Displacements near crack and stress intensity factor (SIF) are key parameters to solve rock failure issue when using fracture mechanics. In order to study the horizontal displacement and stress intensity factor of the mode I fracture, a series of three-point bending tests of granite specimens with central notch were carried out. The evolution of horizontal displacements of precast notch and crack tip opening displacements (CTOD) were analyzed based on the digital image correlation (DIC) method. Stress intensity factors for three-point bending beams with arbitrary span-to-width ratios(S/W) were calculated by using the WU-Carlsson analytical weight function for edge-crack finite width plate and the analytical solution of un-cracked stress by Filon. The present study provides a high efficient and accurate method for fracture mechanics analysis of the three-point bending granite beams.

키워드

과제정보

The research described in this paper was financially supported by the Special Fund of Shaanxi Education Department (Grant No.20JK0711), which were highly appreciated by the authors.

참고문헌

  1. Bouare, H., Mesgouez, A. and Lefeuve-Mesgouez, G. (2022), "Stress and displacement fields around an arbitrary shape tunnel surrounded by a multilayered elastic medium subjected to harmonic waves under plane strain conditions", Soil Dynam. Earthq. Eng., 154, 107158. https://doi.org/10.1016/j.soildyn.2022.107158.
  2. Diaz, F.A., Vasco-Olmo, J.M., Lopez-Alba, E., Felipe-Sese, L., Molina-Viedma, A.J. and Nowell, D. (2020), "Experimental evaluation of effective stress intensity factor using thermoelastic stress analysis and digital image correlation", Int. J. Fatigue, 135, 105567. https://doi.org/10.1016/j.ijfatigue.2020.105567.
  3. Filon L.N.G. (1903), "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load, with special reference to points of concentrated or discontinuous loading", P. Roy. Soc. London, 201, 63-155. https://doi.org/10.1098/rsta.1903.0014.
  4. He, J.J. and Shi, J.P. (2019) "Experimental study on three-point bending fracture performance and failure morphology of basalt under different loading rates", Exp. Mech., 34(4), 666-674. (in Chinese). https://doi.org/10.7520/1001-4888-18-005.
  5. Ji, W., Pan, Z., Miao, S., et al. (2016), "Fracture characteristics of two type of rock based on digital image correlation", Chinese J. Rock Soil Mech.,37(8), 2299-2305. (in Chinese). https://doi.org/10.16285/j.rsm.2016.08.023.
  6. Li, Y., Dong, S. and Pavier, M.J. (2020), "Measurement of the mixed mode fracture strength of green sandstone using three-point bending specimens", Geomech. Eng., 20(1), 9-18. https://doi.org/10.12989/gae.2020.20.1.009.
  7. Li, C., Luo, X., Yang, B., et al. (2013), "Stress intensity factor calculation for aero-engine compressor blade with finite element method", Chinese J. Appl. Mech., 30(3), 373-377. (in Chinese). https://doi.org/10.11776/cjam.30.03.B069.
  8. Miao, S., Pan, P.Z., Hou, W., He, B. and Yu, P. (2022), "Stress intensity factor evolution considering fracture process zone development of granite under monotonic and stepwise cyclic loading", Eng. Fract. Mech., 273, 108727. https://doi.org/10.1016/j.engfracmech.2022.108727.
  9. Mokhtarishirazabad, M., Lopez-Crespo, P. and Zanganeh, M. (2018), "Stress intensity factor monitoring under cyclic loading by digital image correlation", Fatigue Fract. Eng. Mater. Struct., 5, 1-10. https://doi.org/10.1111/ffe.12825.
  10. Nabavi, S.M. and Ghajar, R. (2010), "Analysis of thermal stress intensity factors for cracked cylinders using weight function method", Int. J. Eng. Sci., 48(12), 1811-1823. https://doi.org/10.1016/j.ijengsci.2010.08.006.
  11. Seifi, R. (2015), "Stress intensity factors for internal surface cracks in autofrettaged functionally graded thick cylinders using weight function method", Theor. Appl. Fract. Mech., 75, 113-123. https://doi.org/10.1016/j.tafmec.2014.11.004.
  12. Stead, D. and Wolter, A. (2015). "A critical review of rock slope failure mechanisms: the importance of structural geology", J. Struct. Geol., 74, 1-23. https://doi.org/10.1016/j.jsg.2015.02.002.
  13. Tada, H., Paris, P.C. and Irwin, G.R. (2000), The Stress Analysis of cracks handbook, ASME Press, New York, USA.
  14. Upton, P., Koons, P.O. and Roy, S.G. (2018). "Rock failure and erosion of a fault damage zone as a function of rock properties: Alpine Fault at Waikukupa River", New Zealand J. Geol. Geophys., 61(3), 367-375. https://doi.org/10.1080/00288306.2018.1430592.
  15. Wu, X.R., Tong, D. and Wu, X., et al. (2019), Weight function methods in fracture mechanics:Theory and applications, Aviation Industry Press, Beijing, China. (in Chinese).
  16. Zhang, X., Ma, L., Zhu, Z., Zhou, L. and Wang, M. (2022), "Experimental study on the energy evolution law during crack propagation of cracked rock mass under impact loads", Theor. Appl. Fract. Mech., 122, 103579. https://doi.org/10.1016/j.tafmec.2022.103579.
  17. Zhao, T., Zhang, W., Gu, S., Lv, Y. and Li, Z. (2020), "Study on fracture mechanics of granite based on digital speckle correlation method", Int. J. Solids Struct., 193, 192-199. https://doi.org/10.1016/j.ijsolstr.2020.02.026.