Geomechanics and Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Hoek-Brown failure criterion for damage analysis of tunnels subjected to blast load

  • Chinaei, Farhad (Department of Mining Engineering, Science and Research Branch, Islamic Azad University) ;
  • Ahangari, Kaveh (Department of Mining Engineering, Science and Research Branch, Islamic Azad University) ;
  • Shirinabadi, Reza (Department of Petroleum and Mining Engineering, South Tehran Branch, Islamic Azad University)
  • Received : 2021.03.29
  • Accepted : 2021.06.24
  • Published : 2021.07.10
⟨ Previous Next ⟩

Abstract

In this study, a rock tunnel subjected to blast load is modeled mathematically. For this purpose, a cylindrical shell element is used and the motion equations are derived by energy method and Hamilton's principle. In the inner surface of tunnel, different blast holes are considered and its force in radial direction is coupled by motion equations. The structural damping of the structure is assumed by Kelvin-Voigt model. Hoek-Brown failure criterion is utilized for explosion damage analysis of the tunnel. The motion equations are solved numerically by differential quadrature method (DQM). The effect of different parameters such as depth of tunnel, number and diameter of blast holes, type of stone, geological strength index (GSI) and density of stone, type and mass of explosive material are studied on the damage factor of Hoek-Brown criterion. Numerical results show that with increasing the density of explosive material, number and diameter of blast holes, the thickness of damage is increased in the tunnel. In addition, the depth of damage is decreased with increasing strength, GSI, density of rock and depth of tunnel.

Keywords

References

  1. Al-Furjan, M.S.H., Farrokhian, A., Keshtegar, B., Kolahchi, R. and Trung, N.T. (2020), "Higher order nonlocal viscoelastic strain gradient theory for dynamic buckling analysis of carbon nanocones", Aerosp. Sci. Technol., 107, 106259. https://doi.org/10.1016/j.ast.2020.106259.
  2. Al-Furjan, M.S.H., Farrokhian, A., Mahmoud, S.R. and Kolahchi, R. (2021a), "Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact", Thin Wall. Struct., 163, 107706. https://doi.org/10.1016/j.tws.2021.107706.
  3. Al-Furjan, M.S.H., Farrokhian, A., Keshtegar, B., Kolahchi, R. and Trung, N.T. (2021b), "Dynamic stability control of viscoelastic nanocomposite piezoelectric sandwich beams resting on Kerr foundation based on exponential piezoelasticity theory", Eur. J. Mech. A Solid, 86, 104169. https://doi.org/10.1016/j.euromechsol.2020.104169.
  4. Chen, Sh.L. and Lee, Sh.Ch. (2020), "An investigation on tunnel deformation behavior of expressway tunnels", Geomech. Eng., 21(2), 215-226. http://doi.org/10.12989/gae.2020.21.2.215.
  5. Duc, N.D. and Than, P.T. (2015), "Nonlinear dynamic response and vibration of shear deformable imperfect eccentrically stiffened S-FGM circular cylindrical shells surrounded on elastic foundations", Aerosp. Sci. Technol., 40, 115-127. https://doi.org/10.1016/j.ast.2014.11.005.
  6. Hajihassani, M., Kalatehjari, R., Marto, A., Mohamad, H. and Khosrotash, M. (2020), "3D prediction of tunneling-induced ground movements based on a hybrid ANN and empirical methods", Eng. Comput., 36, 251-269, https://doi.org/10.1007/s00366-018-00699-5.
  7. Han, Y., Yang, X. and Ni, J. (2020), "Influence of foam liner on tunnels subjected to internal blast loading, green", Smart Connect. Transport. Syst., 20, 1373-1378. https://doi.org/10.1007/978-981-15-0644-4_103.
  8. Hause, T. and Librescu, L. (2007), "Dynamic response of doubly-curved anisotropic sandwich panels impacted by blast loadings", Int. J. Solids Struct., 44, 6678-6700. https://doi.org/10.1016/j.ijsolstr.2007.03.006.
  9. Hong, S.K., Oh, D.W., Kong, S.K. and Lee, Y.J. (2020), "Investigation of divergence tunnel excavation according to horizontal offsets between tunnels", Geomech. Eng., 21(2), 111-122. http://dx.doi.org/10.12989/gae.2020.21.2.111.
  10. Iwano, K., Hashiba, K., Nagae, J. and Fukui, K. (2020), "Reduction of tunnel blasting induced ground vibrations using advanced electronic detonators", Tunn. Undergr. Sp. Tech., 105, 103556, https://doi.org/10.1016/j.tust.2020.103556.
  11. Katariya, P.V. and Panda, S.K. (2019), "Numerical evaluation of transient deflection and frequency responses of sandwich shell structure using higher order theory and different mechanical loadings", Eng. Comput., 35, 1009-1026. https://doi.org/10.1007/s00366-018-0646-y.
  12. Keshtegar, B., Farrokhian, A., Kolahchi, R. and Trung, N.T. (2020), "Dynamic stability response of truncated nanocomposite conical shell with magnetostrictive face sheets utilizing higher order theory of sandwich panels", Eur. J. Mech. A Solid, 82, 104010. https://doi.org/10.1016/j.euromechsol.2020.104010.
  13. Kolahchi. R., Rabani Bidgoli. M., Beygipoor. Gh. and Fakhar, M.H. (2015), A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field", J. Mech. Sci. Tech., 29, 3669-3677. https://doi.org/10.1007/s12206-015-0811-9.
  14. Kolahchi, R., Safari, M. and Esmailpour, M. (2016a), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. https://doi.org/10.1016/j.compstruct.2016.05.023.
  15. Kolahchi, R., Hosseini, H. and Esmailpour, M. (2016b), "Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories", Compos. Struct., 157, 174-186. https://doi.org/10.1016/j.compstruct.2016.08.032.
  16. Kolahchi, R., Zarei, M.Sh., Hajmohammad, M.H. and Naddaf Oskouei, A. (2017), "Visco-nonlocal-refined Zigzag theories for dynamic buckling of laminated nanoplates using differential cubature-Bolotin methods", Thin-Wall. Struct., 113, 162-169. https://doi.org/10.1016/j.tws.2017.01.016.
  17. Kolahchi, R., Keshtegar, B. and Trung, N.T. (2021a), "Optimization of dynamic properties for laminated multiphase nanocomposite sandwich conical shell in thermal and magnetic conditions", Int. J. Sandw. Struct. 10.1177/10996362211020388.
  18. Kolahchi, R. and Kolahdouzan, F. (2021b), "A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions" Appl. Math. Model. 91, 458-475. https://doi.org/10.1016/j.apm.2020.09.060
  19. Kumar A., Chakrabartim A. and Bhargavam P. (2013), "Vibration of laminated composites and sandwich shells based on higher order zigzag theory", Eng. Struct., 56, 880-888. https://doi.org/10.1016/j.engstruct.2013.06.014
  20. Li, Y., Yao, W. and Wang, T. (2020), "Free flexural vibration of thin-walled honeycomb sandwich cylindrical shells", Thin-Wall. Struct., 157, 107032. https://doi.org/10.1016/j.engstruct.2013.06.014.
  21. Molkov, V. and Dery, W. (2020), "The blast wave decay correlation for hydrogen tank rupture in a tunnel fire", Int. J. Hydrogen Energ., In Press. https://doi.org/10.1016/j.ijhydene.2020.08.062.
  22. Motezaker, M., Kolahchi, R., Rajak, D.K. and Mahmoud, S.R. (2021), "Influences of fiber reinforced polymer layer on the dynamic deflection of concrete pipes containing nanoparticle subjected to earthquake load", Polym. Composite, In Press. https://doi.org/10.1002/pc.26118.
  23. Nguyen-Hoang, S. and Phung-Van, P., Natarajan, S. and Kim, H.G. (2016), "A combined scheme of edge-based and node-based smoothed finite element methods for Reissner-Mindlin flat shells", Eng. Comput., 32, 267-284. https://doi.org/10.1007/s00366-015-0416-z.
  24. Rawat, A., Matsagar, V.A. and Nagpal, A.K. (2020), "Free vibration analysis of thin circular cylindrical shell with closure using finite element method", Int. J. Steel Struct., 20, 175-193. https://doi.org/10.1007/s13296-019-00277-5.
  25. Rashiddel, A., Kharghani, M., Dias, D. and Hajihassani, M. (2020), "Numerical study of the segmental tunnel lining behavior under a surface explosion - Impact of the longitudinal joints shape", Comput. Geotech., 128, 103822. https://doi.org/10.1016/j.compgeo.2020.103822.
  26. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells, 2nd Ed., CRC Press, Washington, U.S.A.
  27. Seo, Y.S., Jeong, W.B., Yoo, W.S. and Jeong, H.K. (2015), "Frequency response analysis of cylindrical shells conveying fluid using finite element method", J. Mech. Sci. Technol., 19(2), 625-633. https://doi.org/10.1007/BF02916184.
  28. Skob, Y.A., Ugryumov, M.L. and Granovskiy, E.A. (2021), "Numerical assessment of hydrogen explosion consequences in a mine tunnel", Int. J. Hydrogen Energ., 46(23), 12361-12371. https://doi.org/10.1016/j.ijhydene.2020.09.067.
  29. Tiwari, R., Chakraborty, T. and Matsagar, V. (2020), "Analysis of curved tunnels in soil subjected to internal blast loading", Acta Geotech., 15(2), 509-528. https://doi.org/10.1007/s11440-018-0694-x.
  30. Tran, M.T., Nguyen, V.L., Pham, S.D. and, Rungamornrat, J. (2020), "Free vibration of stiffened functionally graded circular cylindrical shell resting on Winkler-Pasternak foundation with different boundary conditions under thermal environment", Acta Mech., 231(6), 2545-2564. https://doi.org/10.1007/s00707-020-02658-y.
  31. Wu, K., Shao, Zh., Hong, S. and Qin, S. (2020), "Analytical solutions for mechanical response of circular tunnels with double primary linings in squeezing grounds", Geomech. Eng., 22(6), 509-518. http://doi.org/10.12989/gae.2020.22.6.509.
  32. Zaid, M. and Rehan Sadique, Md. (2020), "The response of rock tunnel when subjected to blast loading: Finite element analysis", Eng. Rep., 3(2), e12293. https://doi.org/10.1002/eng2.12293.
  33. Zhang, X., He, Y., Li, Z., Zhai, Zh., Yan, R. and Chen, X. (2020a), "Static and dynamic analysis of cylindrical shell by different kinds of B-spline wavelet finite elements on the interval", Eng. Comput., 36, 1903-1914. https://doi.org/10.1007/s00366-019-00804-2.
  34. Zhang, Sh., Ma, H., Huang, X. and Peng, Sh. (2020b), "Numerical simulation on methane-hydrogen explosion in gas compartment in utility tunnel", Process Saf. Environ., 140, 100-110. https://doi.org/10.1016/j.psep.2020.04.025.
  35. Zhang, X., Zhang, Ch., Min, B. and Xu, Y. (2020), "Experimental study on the mechanical response and failure behavior of double-arch tunnels with cavities behind the liner", Geomech. Eng., 20(5), 399-410. http://doi.org/10.12989/gae.2020.20.5.399.
  36. Zhao, X., Chen, Ch., Shi, C., Chen, J., Chen, Q. and Zhao, D. (2020), "A three-dimensional simulation of the effects of obstacle blockage ratio on the explosion wave in a tunnel", J. Therm. Anal. Calorim., 143, 3245-3256. https://doi.org/10.1007/s10973-020-09777-7.