DOI QR코드

DOI QR Code

Application of Lagrangian approach to generate P-I diagrams for RC columns exposed to extreme dynamic loading

  • Zhang, Chunwei (Multidisciplinary Center for Infrastructure Engineering, Shenyang University of Technology) ;
  • Abedini, Masoud (Multidisciplinary Center for Infrastructure Engineering, Shenyang University of Technology)
  • 투고 : 2022.03.26
  • 심사 : 2022.09.05
  • 발행 : 2022.09.25

초록

The interaction between blast load and structures, as well as the interaction among structural members may well affect the structural response and damages. Therefore, it is necessary to analyse more realistic reinforced concrete structures in order to gain an extensive knowledge on the possible structural response under blast load effect. Among all the civilian structures, columns are considered to be the most vulnerable to terrorist threat and hence detailed investigation in the dynamic response of these structures is essential. Therefore, current research examines the effect of blast loads on the reinforced concrete columns via development of Pressure- Impulse (P-I) diagrams. In the finite element analysis, the level of damage on each of the aforementioned RC column will be assessed and the response of the RC columns when subjected to explosive loads will also be identified. Numerical models carried out using LS-DYNA were compared with experimental results. It was shown that the model yields a reliable prediction of damage on all RC columns. Validation study is conducted based on the experimental test to investigate the accuracy of finite element models to represent the behaviour of the models. The blast load application in the current research is determined based on the Lagrangian approach. To develop the designated P-I curves, damage assessment criteria are used based on the residual capacity of column. Intensive investigations are implemented to assess the effect of column dimension, concrete and steel properties and reinforcement ratio on the P-I diagram of RC columns. The produced P-I models can be applied by designers to predict the damage of new columns and to assess existing columns subjected to different blast load conditions.

키워드

과제정보

This research is financially supported by the Ministry of Science and Technology of China (Grant No. 2019YFE0112400), the Department of Science and Technology of Shandong Province (Grant No. 2021CXGC011204), the Key Research and Development Program of Liaoning Province (Grant No. 2017231010), and the key project of the State Key Laboratory of Jianghan University.

참고문헌

  1. Abedini, M. and Zhang, C. (2021a), "Dynamic vulnerability assessment and damage prediction of RC columns subjected to severe impulsive loading", Struct. Eng. Mech., Int. J., 77(4), 441-461. https://doi.org/10.12989/sem.2021.77.4.441
  2. Abedini, M. and Zhang, C. (2021b), "Performance assessment of concrete and steel material models in ls-dyna for enhanced numerical simulation, a state of the art review", Archives Computat. Methods Eng., 28(4), 2921-2942. https://doi.org/10.1007/s11831-020-09483-5
  3. Abedini, M. and Zhang, C. (2021c), "Dynamic performance of concrete columns retrofitted with FRP using segment pressure technique", Compos. Struct., 260, 113473. https://doi.org/10.1016/j.compstruct.2020.113473
  4. Abrahamson, G.R. and Lindberg, H.E. (1976), "Peak load-impulse characterization of critical pulse loads in structural dynamics", Nuclear Eng. Des., 37, 35-46. https://doi.org/10.1016/0029-5493(76)90051-0
  5. Alipour, R., Izman, S. and Tamin, M.N. (2014), "Estimation of charge mass for high speed forming of circular plates using energy method", Adv. Mater. Res., 845, 803-808. https://doi.org/10.4028/www.scientific.net/AMR.845.803
  6. Alipour, R., Frokhi Nejad, A., Izman, S. and Tamin, M. (2015), "Computer aided design and analysis of conical forming dies subjected to blast load", Appl. Mech. Mater., 735, 50-56. https://doi.org/10.4028/www.scientific.net/AMM.735.50
  7. Baylot, J.T. and Bevins, T.L. (2007), "Effect of responding and failing structural components on the airblast pressures and loads on and inside of the structure", Comput. Struct., 85(11), 891-910. https://doi.org/10.1016/j.compstruc.2007.01.001
  8. Comite Euro-International du Beton (1990), "Concrete structures under impact and impulsive loading", CEB Bulletin, N°187.
  9. Cormie, D., Mays, C. and Smith, P. (2009), Blast Effects on Buildings, (2nd Edition), Thomas Telford Ltd., London, UK.
  10. Dragos, J. and Wu, C. (2013), "A new general approach to derive normalised pressure impulse curves", Int. J. Impact Eng., 62, 1-12. http://dx.doi.org/10.1016/j.ijimpeng.2013.05.005
  11. FACEDAP (1994), Facility and component explosive damage asessment program, In: SwRI Project No.06-5145-001; U.S. Army Corps of Engineers, Omaha District, Omaha, NE, USA.
  12. Gang, H. and Kwak, H.-G. (2017), "A tensile criterion to minimize FE mesh-dependency in concrete beams under blast loading", Comput. Concrete, Int. J., 20(1), 1-10. https://doi.org/10.12989/cac.2017.20.1.001
  13. Govindjee, S., Kay, G.J. and Simo, J.C. (1995), "Anisotropic modelling and numerical simulation of brittle damage in concrete", Int. J. Numer. Methods. Eng., 38(21), 3611-3633. https://doi.org/10.1002/nme.1620382105
  14. 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., Int. J., 44(4), 449-463. http://doi.org/10.12989/sem.2012.44.4.449
  15. Izman, S., Nejad, A.F., Alipour, R., Tamin, M. and Najarian, F. (2015), "Topology optimization of an asymmetric elliptical cone subjected to blast loading", Procedia Manuf., 2, 319-324. https://doi.org/10.1016/j.promfg.2015.07.056
  16. 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, Int. J., 21(4), 399-406. https://doi.org/10.12989/cac.2018.21.4.399
  17. 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., Int. J., 68(2), 237-245. https://doi.org/10.12989/sem.2018.68.2.237
  18. Li, Q. and Meng, H. (2002), "Pressure-impulse diagram for blast loads based on dimensional analysis and single-degree-offreedom model", J. Eng. Mech., 128(1), 87-92. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(87)
  19. LS-DYNA (2007), LS-DYNA Version 970 Keyword User's Manual: Livermore Software Technology Corporation.
  20. Lu, Y. and Xu, K. (2004), "Modelling of dynamic behaviour of concrete materials under blast loading", Int. J. Solids Struct., 41(1), 131-143. https://doi.org/10.1016/j.ijsolstr.2003.09.019
  21. MacGregor, J. (1996), Reinforced concrete: mechanics and design. Professional technical reference, Prentice-Hall, Englewood Cliffs, NJ, USA.
  22. Mahdavi, N., Ahmadi, H.R. and Bayat, M. (2019), "Efficient parameters to predict the nonlinear behavior of FRP retrofitted RC columns", Struct. Eng. Mech., Int. J., 70(6), 703-710. https://doi.org/10.12989/sem.2019.70.6.703
  23. Malvar, L.J. (1998), "Review of static and dynamic properties of steel reinforcing bars", ACI Mater. J., 95(5), 609-616.
  24. Malvar, L.J., Crawford, J.E., Wesevich, J.W. and Simons, D (1997), "A plasticity concrete material model for DYNA3D", Int. J. Impact Eng., 19(9), 847-873. https://doi.org/10.1016/S0734-743X(97)00023-7
  25. Pandey, A. (2010), "Damage prediction of RC containment shell under impact and blast loading", Struct. Eng. Mech., Int. J., 36(6), 729-744. http://doi.org/10.12989/sem.2010.36.6.729
  26. Rashad, M. and Yang, T. (2019), "Improved nonlinear modelling approach of simply supported PC slab under free blast load using RHT model", Comput. Concrete, Int. J., 23(2), 121-131. https://doi.org/10.12989/cac.2019.23.2.121
  27. Rezaei, M.J., Gerdooei, M. and Nosrati, H.G. (2020), "Blast resistance of a ceramic-metal armour subjected to air explosion: A parametric study", Struct. Eng. Mech., Int. J., 74(6), 737-745. https://doi.org/10.12989/sem.2020.74.6.737
  28. Thiagarajan, G., Rahimzadeh, R. and Kundu, A. (2013), "Study of pressure-impulse diagrams for reinforced concrete columns using finite element analysis", Int. J. Protect. Struct, 4(4), 485-504. https://doi.org/10.1260/2041-4196.4.4.485
  29. Wang, Z.L., Wang, J.G., Li, Y.C. and Leung, C.F. (2006), "Attenuation effect of artificial cavity on air-blast waves in an intelligent defense layer", Comput. Geotech., 33(2), 132-141. https://doi.org/10.1016/j.compgeo.2006.02.002
  30. Zhang, C. and Abedini, M. (2021), "Time-history blast response and failure mechanism of RC columns using Lagrangian formulation", Structures, 34, 3087-3098. https://doi.org/10.1016/j.istruc.2021.09.073
  31. Zhang, C. and Abedini, M. (2022), "Development of PI model for FRP composite retrofitted RC columns subjected to high strain rate loads using LBE function", Eng. Struct., 252, 113580. https://doi.org/10.1016/j.engstruct.2021.113580
  32. Zhang, Y., Zhao, K., Li, Y., Gu, J., Ye, Z. and Ma, J. (2018), "Study on the local damage of SFRC with different fraction under contact blast loading", Comput. Concrete, Int. J., 22(1), 63-70. https://doi.org/10.12989/cac.2018.22.1.063
  33. Zhang, C., Abedini, M. and Mehrmashhadi, J. (2020), "Development of pressure-impulse models and residual capacity assessment of RC columns using high fidelity Arbitrary Lagrangian-Eulerian simulation", Eng. Struct., 224, 111219. https://doi.org/10.1016/j.engstruct.2020.111219