DOI QR코드

DOI QR Code

Nonlocal Formulation for Numerical Analysis of Post-Blast Behavior of RC Columns

  • Li, Zhong-Xian (Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin University) ;
  • Zhong, Bo (Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin University) ;
  • Shi, Yanchao (Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin University) ;
  • Yan, Jia-Bao (Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin University)
  • Received : 2016.08.01
  • Accepted : 2017.04.02
  • Published : 2017.06.30

Abstract

Residual axial capacity from numerical analysis was widely used as a critical indicator for damage assessment of reinforced concrete (RC) columns subjected to blast loads. However, the convergence of the numerical result was generally based on the displacement response, which might not necessarily generate the correct post-blast results in case that the strain softening behavior of concrete was considered. In this paper, two widely used concrete models are adopted for post-blast analysis of a RC column under blast loading, while the calculated results show a pathological mesh size dependence even though the displacement response is converged. As a consequence, a nonlocal integral formulation is implemented in a concrete damage model to ensure mesh size independent objectivity of the local and global responses. Two numerical examples, one to a RC column with strain softening response and the other one to a RC column with post-blast response, are conducted by the nonlocal damage model, and the results indicate that both the two cases obtain objective response in the post-peak stage.

Keywords

References

  1. Armero, F., & Ehrlich, D. (2006). Numerical modeling of softening hinges in thin Euler-Bernoulli beams. Computers & Structures, 84(10), 641-656. https://doi.org/10.1016/j.compstruc.2005.11.010
  2. Bao, X., & Li, B. (2010). Residual strength of blast damaged reinforced concrete columns. International Journal of Impact Engineering, 37(3), 295-308. https://doi.org/10.1016/j.ijimpeng.2009.04.003
  3. Bazant, Z. P., & Jirasek, M. (2002). Nonlocal integral formulations of plasticity and damage: survey of progress. Journal of Engineering Mechanics, 128(11), 1119-1149. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:11(1119)
  4. Bazant, Z. P., & Oh, B. H. (1983). Crack band theory for fracture of concrete. Materials and Structures, 16(3), 155-177.
  5. Brunesi, E., Nascimbene, R., Parisi, F., & Augenti, N. (2015). Progressive collapse fragility of reinforced concrete framed structures through incremental dynamic analysis. Engineering Structures, 104, 65-79. https://doi.org/10.1016/j.engstruct.2015.09.024
  6. Crawford, J. E., & Magallanes, J. M. (2011). The effects of modeling choices on the response of structural components to blast effects. International Journal of Protective Structures, 2(2), 231-266. https://doi.org/10.1260/2041-4196.2.2.231
  7. Crawford, J. E., Wu, Y., Choi, H. J., Magallanes, J. M., & Lan, S. (2012). Use and validation of the release III K&C concrete material model in LS-DYNA. Glendale: Karagozian & Case.
  8. Hallquist, J. O. (2007). LS-DYNA keyword user's manual, 970. Livermore: Livermore Software Technology Corporation.
  9. Heo, Y., & Kunnath, S. K. (2013). Damage-based seismic performance evaluation of reinforced concrete frames. International Journal of Concrete Structures and Materials, 7(3), 175-182. https://doi.org/10.1007/s40069-013-0046-z
  10. Jayasooriya, R., Thambiratnam, D. P., Perera, N. J., & Kosse, V. (2011). Blast and residual capacity analysis of reinforced concrete framed buildings. Engineering Structures, 33(12), 3483-3495. https://doi.org/10.1016/j.engstruct.2011.07.011
  11. Jirasek, M., & Bazant, Z. P. (2002). Inelastic analysis of structures. Chichester: Wiley.
  12. Jukic, M., Brank, B., & Ibrahimbegovic, A. (2014). Failure analysis of reinforced concrete frames by beam finite element that combines damage, plasticity and embedded discontinuity. Engineering Structures, 75, 507-527. https://doi.org/10.1016/j.engstruct.2014.06.017
  13. Lee, J., & Lopez, M. M. (2014). An experimental study on fracture energy of plain concrete. International Journal of Concrete Structures and Materials, 8(2), 129-139. https://doi.org/10.1007/s40069-014-0068-1
  14. Li, B., Nair, A., & Kai, Q. (2012). Residual axial capacity of reinforced concrete columns with simulated blast damage. Journal of Performance of Constructed Facilities, 26(3), 287-299. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000210
  15. Li, Z., Zhong, B., & Shi, Y. (2016). An effective model for analysis of reinforced concrete members and structures under blast loading. Advances in Structural Engineering, 19(12), 1815-1831. https://doi.org/10.1177/1369433216649393
  16. Lim, K. M., Shin, H. O., Kim, D. J., Yoon, Y. S., & Lee, J. H. (2016). Numerical assessment of reinforcing details in beam-column joints on blast resistance. International Journal of Concrete Structures and Materials, 10(3), 87-96.
  17. Magallanes, J.M., Wu, Y., Malvar, L.J., & Crawford, J.E. (2010). Recent improvements to release III of the K&C concrete model. In 11th international LS-DYNA Users conference, 6-8 June 2010, Dearborn.
  18. Magnusson, J., Ansell, A., & Hansson, H. (2010a). Air-blast-loaded, high-strength concrete beams. Part II: Numerical non-linear analysis. Magazine of Concrete Research, 62(4), 235-242. https://doi.org/10.1680/macr.2010.62.4.235
  19. Magnusson, J., Hallgren, M., & Ansell, A. (2010b). Air-blast-loaded, high-strength concrete beams. Part I: Experimental investigation. Magazine of Concrete Research, 62(2), 127-136. https://doi.org/10.1680/macr.2008.62.2.127
  20. Malvar, L. J., & Ross, C. A. (1998). Review of strain rate effects for concrete in tension. ACI Materials Journal, 95(6), 735-739.
  21. Mazars, J. (1986). A description of micro-and macroscale damage of concrete structures. Engineering Fracture Mechanics, 25(5), 729-737. https://doi.org/10.1016/0013-7944(86)90036-6
  22. Mazars, J., & Pijaudier-Cabot, G. (1989). Continuum damage theory-application to concrete. Journal of Engineering Mechanics, 115(2), 345-365. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:2(345)
  23. Murray, Y.D. (2007). Users manual for LS-DYNA concrete material model 159. Report No. FHWA-HRT-05-062, Federal Highway Administration, US Department of Transportation, USA.
  24. Murray, Y.D., Abu-Odeh, A.Y., & Bligh, R.P. (2007). Evaluation of LS-DYNA concrete material model 159. Report No. FHWA-HRT-05-063, Federal Highway Administration, US Department of Transportation, USA.
  25. Ozbolt, J., Sharma, A., & Reinhardt, H. W. (2011). Dynamic fracture of concrete-compact tension specimen. International Journal of Solids and Structures, 48(10), 1534-1543. https://doi.org/10.1016/j.ijsolstr.2011.01.033
  26. Parisi, F. (2015). Blast fragility and performance-based pressure-impulse diagrams of European reinforced concrete columns. Engineering Structures, 103, 285-297. https://doi.org/10.1016/j.engstruct.2015.09.019
  27. Park, J. Y., Kim, M. S., Scanlon, A., Choi, H., & Lee, Y. H. (2014). Residual strength of reinforced concrete columns subjected to blast loading. Magazine of Concrete Research, 66(2), 60-71. https://doi.org/10.1680/macr.13.00117
  28. Petrone, F., Shan, L., & Kunnath, S. K. (2016). Modeling of RC frame buildings for progressive collapse analysis. International Journal of Concrete Structures and Materials, 10(1), 1-13. https://doi.org/10.1007/s40069-016-0126-y
  29. Pijaudier-Cabot, G., & Bazant, Z. P. (1987). Nonlocal damage theory. Journal of engineering mechanics, 113(10), 1512-1533. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:10(1512)
  30. Ren, W., Sneed, L. H., Yang, Y., & He, R. (2015). Numerical simulation of prestressed precast concrete bridge deck panels using damage plasticity model. International Journal of Concrete Structures and Materials, 9(1), 45-54. https://doi.org/10.1007/s40069-014-0091-2
  31. Roller, C., Mayrhofer, C., Riedel, W., & Thoma, K. (2013). Residual load capacity of exposed and hardened concrete columns under explosion loads. Engineering Structures, 55, 66-72. https://doi.org/10.1016/j.engstruct.2011.12.004
  32. Russo, P., & Parisi, F. (2016). Risk-targeted safety distance of reinforced concrete buildings from natural-gas transmission pipelines. Reliability Engineering & System Safety, 148, 57-66. https://doi.org/10.1016/j.ress.2015.11.016
  33. Shi, Y., Hao, H., & Li, Z. X. (2008). Numerical derivation of pressure-impulse diagrams for prediction of RC column damage to blast loads. International Journal of Impact Engineering, 35(11), 1213-1227. https://doi.org/10.1016/j.ijimpeng.2007.09.001
  34. Tanaka, H. (1990). Effect of lateral confining reinforcement on the ductile behaviour of reinforced concrete columns. Report 90-2, Department of Civil Engineering, University of Canterbury, Canterbury, U.K.

Cited by

  1. Research on Damage Assessment of Concrete-Filled Steel Tubular Column Subjected to Near-Field Blast Loading vol.2020, pp.None, 2017, https://doi.org/10.1155/2020/8883711