Advances in Computational Design

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Numerical modelling of internal blast loading on a rock tunnel

  • Zaid, Mohammad (Department of Civil Engineering, ZHCET, Aligarh Muslim University) ;
  • Sadique, Md. Rehan (Department of Civil Engineering, ZHCET, Aligarh Muslim University)
  • Received : 2020.01.08
  • Accepted : 2020.05.06
  • Published : 2020.10.25
⟨ Previous Next ⟩

Abstract

Tunnels have been an integral part of human civilization. Due to complexity in its design and structure, the stability of underground structures under extreme loading conditions has utmost importance. Increased terrorism and geo-political conflicts have forced the engineers and researchers to study the response of underground structures, especially tunnels under blast loading. The present study has been carried out to seek the response of tunnel structures under blast load using the finite element technique. The tunnel has been considered in quartzite rock of northern India. The Mohr-Coulomb constitutive model has been adopted for the elastoplastic behaviour of rock. The rock model surrounding the tunnel has dimensions of 30 m x 30 m x 35 m. Both unlined and lined (concrete) tunnel has been studied. Concrete Damage Plasticity model has been considered for the concrete lining. Four different parameters (i.e., tunnel diameter, liners thickness, overburden depth and mass of explosive) have been varied to observe the behaviour under different condition. To carry out blast analysis, Coupled-Eulerian-Lagrangian (CEL) modelling has been adopted for modelling of TNT (Trinitrotoluene) and enclosed air. JWL (Jones-Wilkins-Lee) model has been considered for TNT explosive modelling. The paper concludes that deformations in lined tunnels follow a logarithmic pattern while in unlined tunnels an exponential pattern has been observed. The stability of the tunnel has increased with an increase in overburden depth in both lined and unlined tunnels. Furthermore, the tunnel lining thickness also has a significant effect on the stability of the tunnel, but in smaller diameter tunnel, the increase in tunnel lining thickness has not much significance. The deformations in the rock tunnel have been decreased with an increase in the diameter of the tunnel.

Keywords

References

  1. A. Eitzenberger (2012) Wave propagation in rock and the influence of discontinuities. Luleal University of Technology, Sweden.
  2. A.K. Pandey (2010), "Damage prediction of RC containment shell under impact and blast loading", Struct. Eng. Mech., 36(6), 729-744, https://doi.org/10.12989/sem.2010.36.6.729.
  3. C. H. Dowing (1996), Construction vibrations. Trowbridge: Prentice-Hall Englewood Cliffs Comite Euro- International du Beton, Redwood Books.
  4. Chakraborty, T., Larcher, M. and Gebbeken, N. (2014), "Performance of tunnel lining materials under internal blast loading", Int. J. Protective Struct., 5(1), 83-96. https://doi.org/10.1260/2041-4196.5.1.83.
  5. Chaudhary, R.K., Mishra, S., Chakraborty, T. and Matsagar, V. (2018), "Vulnerability analysis of tunnel linings under blast loading', Int. J. Protective Struct., 10(1), 1-22. https://doi.org/10.1177/2041419618789438.
  6. Chille, F., Sala, A. and Casadei, F. (1998), "Containment of blast phenomena in underground electrical power plants", Advan. Eng. Software, 29(1), 7-12. https://doi.org/10.1016/S0965-9978(97)00047-1.
  7. Choi, S., Wang, J., Munfakh, G. and Dwyre, E. (2006), "3D Nonlinear blast model analysis for underground structures", GeoCongress 2006. https://doi.org/10.1061/40803(187)206.
  8. D. Systemes (2014), Abaqus 6.14 Documentation. Providence, RI: Dassault Systemes.
  9. Feldgun, V.R., Kochetkov, A.V., Karinski, Y.S. and Yankelevsky, D.Z. (2008a), "Blast response of a lined cavity in a porous saturated soil", Int. J. Impact Eng., 35(9), 953-966. https://doi.org/10.1016/j.ijimpeng.2007.06.010.
  10. Feldgun, V.R., Kochetkov, A.V., Karinski, Y.S. and Yankelevsky, D.Z. (2008b), "Internal blast loading in a buried lined tunnel", Int. J. Impact Eng., 35(3), 172-183. https://doi.org/10.1016/j.ijimpeng.2007.01.001.
  11. Gang, H. and Kwak, H.G. (2017), "A tensile criterion to minimize FE mesh-dependency in concrete beams under blast loading", Comput. Concrete, 20(1), 1-10, https://doi.org/10.12989/cac.2017.20.1.001.
  12. Gupta, A.S. and Rao, K.S. (1998), "Index properties of weathered rocks: Inter-relationships and applicability", Bull. Eng. Geology Environ., 57(2), 161-172. https://doi.org/10.1007/s100640050032.
  13. H. Liu (2011), "Damage of cast-iron subway tunnels under internal explosions", Proceedings of ASCE Geo- Frontiers 2011. Dallas, Texas.
  14. H.R. Yadav (2005), Geotechnical Evaluation and Analysis of Delhi Metro Tunnels, Ph.D Dissertation, Indian Institute of Technology Delhi, New Delhi, India.
  15. Hadianfard, M.A. and Farahani, A. (2012), "On the effect of steel columns cross sectional properties on the behaviours when subjected to blast loading", Struct. Eng. Mech., 44(4), 449-463. https://doi.org/10.12989/sem.2012.44.4.449.
  16. Hibbitt, D., Karlsson, B. and Sorensen, P. (2014), ABAQUS User-Manual Release 6.14. Dassault Systemes Simulia Corp., Providence, RI.
  17. Higgins, W., Chakraborty, T. and Basu, D. (2012), "A high strain-rate constitutive model for sand and its application in finite element analysis of tunnels subjected to blast", Int. J. Numer. Analy. Meth. Geomech., 37(15), 2590-2610. https://doi.org/10.1002/nag.2153.
  18. J. Lee and G. Fenves (1998), "Plastic damage model for cyclic loading of concrete structures", J. Eng. Mech., 124(8), 892-900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892).
  19. Jain, P. and Chakraborty, T. (2018), "Numerical analysis of tunnel in rock with basalt fiber reinforced concrete lining subjected to internal blast load", Comput. Concrete, 21(4), 399-406, https://doi.org/10.12989/cac.2018.21.4.399.
  20. Kim, D.K., Ng, W.C.K. and Hwang, O. (2018), "An empirical formulation to predict maximum deformation of blast wall under explosion", Struct. Eng. Mech., 68(2), 237-245, https://doi.org/10.12989/sem.2018.68.2.237.
  21. Kim, S.H., Woo, H., Choi, G.G. and Yoon, K. (2018), "A new concept for blast hardened bulkheads with attached aluminum foam", Struct. Eng. Mech., 65(3), 243-250. https://doi.org/10.12989/sem.2018.65.3.243.
  22. Kumar, M., Goel, M.D., Matsagar, V.A. and Rao, K.S. (2015), "Response of semi-buried structures subjected to multiple blast loading considering soil-structure interaction", Indian Geotech. J., 45(3), 243-253. https://doi.org/10.1007/s40098-014-0143-1.
  23. Larcher, M. and Casadei, F. (2010), "Explosions in complex geometries-comparison of several approaches", European Commission, Joint Research Centre, Institute for Protection and Security of the Citizen, Italy
  24. Liang, Q., Li, J., Li, D. and Ou, E. (2013), 'Effect of blast-induced vibration from new railway tunnel on existing adjacent railway tunnel in Xinjiang, China', Rock Mech. Rock Eng., 46(1), 19-39. https://doi.org/10.1007/s00603-012-0259-5.
  25. Lubliner, J., Oliver, J., Oller, S. and Onate, E. (1989) "A plastic damage model for concrete", Int. J. Solids Struct., 25(3), 299-329. https://doi.org/10.1016/0020-7683(89)90050-4.
  26. M. Larcher and F. Casadei (2010) "Explosions in Complex Geometries - A Comparison of Several Approaches", Int. J. Protective Struct., 1(2), 169-195. https://doi.org/10.1260/2041-4196.1.2.169.
  27. Ma, G.W., Hao, H. and Zhou, Y.X. (1998) "Modeling of wave propagation induced by underground explosion", Comput. Geotech., 22(3-4), 283-303, https://doi.org/10.1016/S0266-352X(98)00011-1.
  28. Ma, G.W., Huang, X. and Li, J.C. (2009), "Damage assessment for buried structures against internal blast load", Struct. Eng. Mech., 32(2), 301-320, https://doi.org/10.1007/s12209-008-0060-4.
  29. Nam, J.W., Kim, H.J., Yi, N.H., Kim, I.S., Kim, J.H.J. and Choi, H.J. (2009), "Blast analysis of concrete arch structures for FRP retrofitting design", Comput. Concrete, 6(4), 305-318. https://doi.org/10.12989/cac.2009.6.4.305.
  30. Nam, J.W., Yoon, I.S. and Yi, S.T. (2016), "Numerical evaluation of FRP composite retrofitted reinforced concrete wall subjected to blast load", Comput. Concrete, 17(2), 215-225. https://doi.org/10.12989/cac.2016.17.2.215.
  31. Nateghi, R. (2012), "Evaluation of blast induced ground vibration for minimizing negative effects on surrounding structures", Soil Dyn. Earthq. Eng., 43, 133-138. https://doi.org/10.1016/j.soildyn.2012.07.009.
  32. Sadique, M.R., Ansari, M.I. and Athar, M.F. (2018), "Response study of concrete gravity dam against aircraft crash", IOP Conference Series: Mater. Sci. Eng., 404, 012027, https://doi.org/10.1088/1757-899X/404/1/012027.
  33. Tiwari, R., Chakraborty, T. and Matsagar, V. (2016a), "Dynamic analysis of a twin tunnel in soil subjected to internal blast loading", Indian Geotech. J., 46(4), 369-380, https://doi.org/10.1007/s40098-016-0179-5.
  34. Tiwari, R., Chakraborty, T. and Matsagar, V. (2016b), "Dynamic analysis of tunnel in weathered rock subjected to internal blast loading", Rock Mech. Rock Eng., 49(11), 4441-4458. https://doi.org/10.1007/s00603-016-1043-8.
  35. TM5-1300 (1990), Structures to resist the effects of accidental explosions. Technical Manual of the US Departments of the Army and Navy and the Air Force, U.S.A.
  36. Vehbi, O. (2018), "New methodology to prevent blasting damages for shallow tunnel", Geomech. Eng., 15(6), 1227-1236. https://doi.org/10.12989/gae.2018.15.6.1227.
  37. Wahab, M.M. and Mazek, S.A. (2016), "Performance of double reinforced concrete panel against blast hazard", Comput. Concrete, 18(4) 807-826. https://doi.org/10.12989/cac.2016.18.4.807.
  38. Wang, W., Zhang, D., Lu, F., Wang, S.C. and Tang, F. (2013), "Experimental study and numerical simulation of the damage mode of a square reinforced concrete slab under close-in explosion", Eng. Fail. Analy., 27, 41-51. https://doi.org/10.1016/j.engfailanal.2012.07.010
  39. Yang, Y., Xie, X. and Wang, R. (2010), "Numerical simulation of dynamic response of operating metro tunnel induced by ground explosion", J. Rock Mech. Geotech. Eng., 2(4), 373-384. https://doi.org/10.3724/SP.J.1235.2010.00373
  40. Yuzhen H. and Huabei L. (2016), "Failure of circular tunnel in saturated soil subjected to internal blast loading", Geomech. Eng., 11(3), 421-438. https://doi.org/10.12989/gae.2016.11.3.421.
  41. Zhao, C.F. and Chen, J.Y. (2013), "Damage mechanism and mode of square reinforced concrete slab subjected to blast loading", Theoretical Appl. Fracture Mech., 63-64, 54-62, https://doi.org/10.1016/j.tafmec.2013.03.006.

Cited by

  1. Effect of unconfined compressive strength of rock on dynamic response of shallow unlined tunnel vol.2, pp.12, 2020, https://doi.org/10.1007/s42452-020-03876-8
  2. Three-dimensional finite element analysis of urban rock tunnel under static loading condition: Effect of the rock weathering vol.25, pp.2, 2020, https://doi.org/10.12989/gae.2021.25.2.099
  3. Seismic Behaviour of Double Arched Tunnel: A Review vol.796, pp.1, 2020, https://doi.org/10.1088/1755-1315/796/1/012043
  4. Response of Twin Transportation Tunnel in Earthquake Loading: A Review vol.796, pp.1, 2020, https://doi.org/10.1088/1755-1315/796/1/012044