Progressive collapse of 2D reinforced concrete structures under sudden column removal

El Houcine MOURID, Said MAMOURI, Adnan IBRAHIMBEGOVIC

PDF(1546 KB)
PDF(1546 KB)
Front. Struct. Civ. Eng. ›› 2020, Vol. 14 ›› Issue (6) : 1387-1402. DOI: 10.1007/s11709-020-0645-0
RESEARCH ARTICLE

Progressive collapse of 2D reinforced concrete structures under sudden column removal

Author information +
History +

Abstract

Once a column in building is removed due to gas explosion, vehicle impact, terrorist attack, earthquake or any natural disaster, the loading supported by removed column transfers to neighboring structural elements. If these elements are unable to resist the supplementary loading, they continue to fail, which leads to progressive collapse of building. In this paper, an efficient strategy to model and simulate the progressive collapse of multi-story reinforced concrete structure under sudden column removal is presented. The strategy is subdivided into several connected steps including failure mechanism creation, MBS dynamic analysis and dynamic contact simulation, the latter is solved by using conserving/decaying scheme to handle the stiff nonlinear dynamic equations. The effect of gravity loads, structure-ground contact, and structure-structure contact are accounted for as well. The main novelty in this study consists in the introduction of failure function, and the proper manner to control the mechanism creation of a frame until its total failure. Moreover, this contribution pertains to a very thorough investigation of progressive collapse of the structure under sudden column removal. The proposed methodology is applied to a six-story frame, and many different progressive collapse scenarios are investigated. The results illustrate the efficiency of the proposed strategy.

Keywords

failure mechanism / MBS dynamic analysis / gravity loads / structure-ground contact / structure-structure contact / energy conserving/decaying scheme

Cite this article

Download citation ▾
El Houcine MOURID, Said MAMOURI, Adnan IBRAHIMBEGOVIC. Progressive collapse of 2D reinforced concrete structures under sudden column removal. Front. Struct. Civ. Eng., 2020, 14(6): 1387‒1402 https://doi.org/10.1007/s11709-020-0645-0

References

[1]
Janssens V M. Modelling progressive collapse in steel structures. Dissertation for the Doctoral Degree. Dublin: Trinity College Dublin, 2012
[2]
Vlassis A, Izzuddin B, Elghazouli A, Nethercot D. Progressive collapse of multi-storey buildings due to sudden column loss, part II: Application. Engineering Structures, 2008, 30(5): 1424–1438
CrossRef Google scholar
[3]
Luccioni B, Ambrosini R, Danesi R. Analysis of building collapse under blast loads. Engineering Structures, 2004, 26(1): 63–71
CrossRef Google scholar
[4]
Shi Y, Li Z X, Hao H. A new method for progressive collapse analysis of RC frames under blast loading. Engineering Structures, 2010, 32(6): 1691–1703
CrossRef Google scholar
[5]
Mattern S, Blankenhorn G, Schweizerhof K. Numerical investigation on collapse kinematics of a reinforced concrete structure within a blasting process. In: Proceedings of the 5th German LS-DYNA Forum. Ulm: DYNAmore GmbH, 2006, 15–24
[6]
Hartmann D, Stangenberg F, Melzer R, Blum R.Computer-based Planning of Demolition of Reinforced Concrete Smokestacks by Means of Blasting and Implementation of a Knowledge Based Assistance System. Bochum: Ruhr-Universität Bochum, 1994 (in German)
[7]
Toi Y, Isobe D. Finite element analysis of Quasi-static and dynamic collapse behaviors of framed structures by the adaptively shifted integration technique. Computers & Structures. 1996, 58:947–955 10.1016/0045-7949(95)00195-M.
[8]
Abbasnia, R., Nav, F. M., Usefi, N., & Rashidian, O. A new method for progressive collapse analysis of RC frames. Structural Engineering and Mechanics, 2016,  60(1): 31–50.
[9]
Hartmann D, Breidt M, Nguyen V, Stangenberg F, Höhler S, Schweizerhof K, Mattern S, Blankenhorn G, Möller B, Liebscher M. Structural collapse simulation under consideration of uncertainty-fundamental concept and results. Computers & Structures, 2008, 86(21–22): 2064–2078
CrossRef Google scholar
[10]
Möller B, Liebscher M, Schweizerhof K, Mattern S, Blankenhorn G. Structural collapse simulation under consideration of uncertainty–improvement of numerical efficiency. Computers & Structures, 2008, 86(19–20): 1875–1884
CrossRef Google scholar
[11]
Kwasniewski L. Nonlinear dynamic simulations of progressive collapse for a multi-story building. Engineering Structures, 2010, 32(5): 1223–1235
CrossRef Google scholar
[12]
Grierson D, Xu L, Liu Y. Progressive-failure analysis of buildings subjected to abnormal loading. Computer-Aided Civil and Infrastructure Engineering, 2005, 20(3): 155–171
CrossRef Google scholar
[13]
Vlassis A G. Progressive collapse assessment of tall buildings. Dissertation for the Doctoral Degree. London: Imperial College London, 2007
[14]
Izzuddin B, Vlassis A, Elghazouli A, Nethercot D. Progressive collapse of multi-storey buildings due to sudden column loss. Part I: Simplified assessment framework. Engineering Structures, 2008, 30(5): 1308–1318
CrossRef Google scholar
[15]
Zhou S, Zhuang X, Rabczuk T. Phase-field modeling of fluid-driven dynamic cracking in porous media. Computer Methods in Applied Mechanics and Engineering, 2019, 350: 169–198
CrossRef Google scholar
[16]
Zhou S, Rabczuk T, Zhuang X. Phase field modeling of quasi-static and dynamic crack propagation: Comsol implementation and case studies. Advances in Engineering Software, 2018, 122: 31–49
CrossRef Google scholar
[17]
Tsai M H, Lin B H. Investigation of progressive collapse resistance and inelastic response for an earthquake-resistant RC building subjected to column failure. Engineering Structures, 2008, 30(12): 3619–3628
CrossRef Google scholar
[18]
Kim J, Kim T. Assessment of progressive collapse-resisting capacity of steel moment frames. Journal of Constructional Steel Research, 2009, 65(1): 169–179
CrossRef Google scholar
[19]
Kim H S, Kim J, An D W. Development of integrated system for progressive collapse analysis of building structures considering dynamic effects. Advances in Engineering Software, 2009, 40(1): 1–8
CrossRef Google scholar
[20]
Kaewkulchai G, Williamson E B. Beam element formulation and solution procedure for dynamic progressive collapse analysis. Computers & Structures, 2004, 82(7–8): 639–651
CrossRef Google scholar
[21]
Bao Y, Kunnath S K, El-Tawil S, Lew H S. Macro-model-based simulation of progressive collapse: RC frame structures. Journal of Structural Engineering, 2008, 134(7): 1079–1091
CrossRef Google scholar
[22]
Fu F. Progressive collapse analysis of high-rise building with 3-D finite element modeling method. Journal of Constructional Steel Research, 2009, 65(6): 1269–1278
CrossRef Google scholar
[23]
Galal K, El-Sawy T. Effect of retrofit strategies on mitigating progressive collapse of steel frame structures. Journal of Constructional Steel Research, 2010, 66(4): 520–531
CrossRef Google scholar
[24]
Gsa U. Progressive collapse analysis and design guidelines for new federal office buildings and major modernization projects. Washington, D.C.: General Service Administration, 2003
[25]
Mourid E H, Mamouri S, Ibrahimbegović A. A controlled destruction and progressive collapse of 2D reinforced concrete frames. Coupled Systems Mechanics, 2018, 7(2): 111–139
[26]
Vecchio F J, Emara M B. Shear deformations in reinforced concrete frames. ACI Structural Journal, 1992, 89(1): 46–56
[27]
Ibrahimbegović A, Frey F. Stress resultant finite element analysis of reinforced concrete plates. Engineering Computations, 1993, 10(1): 15–30
CrossRef Google scholar
[28]
Ibrahimbegović A, Frey F. An efficient implementation of stress resultant plasticity in analysis of Reissner-Mindlin plates. International Journal for Numerical Methods in Engineering, 1993, 36(2): 303–320
CrossRef Google scholar
[29]
Cipollina A, López-Inojosa A, Flórez-López J. A simplified damage mechanics approach to nonlinear analysis of frames. Computers & Structures, 1995, 54(6): 1113–1126
CrossRef Google scholar
[30]
Marante M E, Picón R, Flórez-López J. Analysis of localization in frame members with plastic hinges. International Journal of Solids and Structures, 2004, 41(14): 3961–3975
CrossRef Google scholar
[31]
Marante M E, Suárez L, Quero A, Redondo J, Vera B, Uzcategui M, Delgado S, León L R, Núñez L, Flórez-López J. Portal of damage: a web-based finite element program for the analysis of framed structures subjected to overloads. Advances in Engineering Software, 2005, 36(5): 346–358
CrossRef Google scholar
[32]
Nanakorn P. A two-dimensional beam-column finite element with embedded rotational discontinuities. Computers & Structures, 2004, 82(9–10): 753–762
CrossRef Google scholar
[33]
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758
CrossRef Google scholar
[34]
Rabczuk T, Belytschko T. Cracking particles: a simplified mesh-free method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343
CrossRef Google scholar
[35]
Rabczuk T, Belytschko T. A three-dimensional large deformation mesh-free method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799
CrossRef Google scholar
[36]
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455
CrossRef Google scholar
[37]
Ibrahimbegović A, Brancherie D. Combined hardening and softening constitutive model of plasticity: precursor to shear slip line failure. Computational Mechanics, 2003, 31(1–2): 88–100 doi:10.1007/s00466-002-0396-x
[38]
Ibrahimbegović A, Melnyk S. Embedded discontinuity finite element method for modeling of localized failure in heterogeneous materials with structured mesh: an alternative to extended finite element method. Computational Mechanics, 2007, 40(1): 149–155
CrossRef Google scholar
[39]
Jukić M, Brank B, Ibrahimbegović A. Embedded discontinuity finite element formulation for failure analysis of planar reinforced concrete beams and frames. Engineering Structures, 2013, 50: 115–125
CrossRef Google scholar
[40]
Jukić M, Brank B, Ibrahimbegović A. Failure analysis of reinforced concrete frames by beam finite element that combines damage, plasticity and embedded discontinuity. Engineering Structures, 2014, 75: 507–527
CrossRef Google scholar
[41]
Dujc J, Brank B, Ibrahimbegović A. Multi-scale computational model for failure analysis of metal frames that includes softening and local buckling. Computer Methods in Applied Mechanics and Engineering, 2010, 199(21–22): 1371–1385
CrossRef Google scholar
[42]
Bui N N, Ngo M, Nikolic M, Brancherie D, Ibrahimbegović A. Enriched Timoshenko beam finite element for modeling bending and shear failure of reinforced concrete frames. Computers & Structures, 2014, 143: 9–18 doi:10.1016/j.compstruc.2014.06.004
[43]
Zhou S, Zhuang X, Rabczuk T. Phase field modeling of brittle compressive-shear fractures in rock-like materials: A new driving force and a hybrid formulation. Computer Methods in Applied Mechanics and Engineering, 2019, 355: 729–752
CrossRef Google scholar
[44]
Zhou S, Zhuang X, Rabczuk T. A phase-field modeling approach of fracture propagation in poroelastic media. Engineering Geology, 2018, 240: 189–203
CrossRef Google scholar
[45]
Zhou S, Zhuang X, Zhu H, Rabczuk T. Phase field modelling of crack propagation, branching and coalescence in rocks. Theoretical and Applied Fracture Mechanics, 2018, 96: 174–192
CrossRef Google scholar
[46]
Anitescu C, Atroshchenko E, Alajlan N, Rabczuk T. Artificial neural network methods for the solution of second order boundary value problems, Computers. Materials & Continua, 2019, 59(1): 345–359
CrossRef Google scholar
[47]
Guo H, Zhuang X, Rabczuk T. A deep collocation method for the bending analysis of Kirchhoff plate. Computers, Materials & Continua, 2019, 59(2): 433–456
CrossRef Google scholar
[48]
Cardona A, Geradin M. Time integration of the equations of motion in mechanism analysis. Computers & Structures, 1989, 33(3): 801–820
CrossRef Google scholar
[49]
Laursen T, Chawla V. Design of energy conserving algorithms for frictionless dynamic contact problems. International Journal for Numerical Methods in Engineering, 1997, 40(5): 863–886
CrossRef Google scholar
[50]
Ibrahimbegović A, Mamouri S. On rigid components and joint constraints in nonlinear dynamics of flexible multibody systems employing 3d geometrically exact beam model. Computer Methods in Applied Mechanics and Engineering, 2000, 188(4): 805–831
CrossRef Google scholar
[51]
Newmark N M. A method of computation for structural dynamics. Journal of the Engineering Mechanics Division, 1959, 85(3): 67–94
[52]
Ibrahimbegović A, Mamouri S. Nonlinear dynamics of flexible beams in planar motion: formulation and time-stepping scheme for stiff problems. Computers & Structures, 1999, 70(1): 1–22
CrossRef Google scholar
[53]
Ibrahimbegović A, Mamouri S. Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations. Computer Methods in Applied Mechanics and Engineering, 2002, 191(37–38): 4241–4258
CrossRef Google scholar
[54]
Mamouri S, Kouli R, Benzegaou A, Ibrahimbegović A. Implicit controllable high-frequency dissipative scheme for nonlinear dynamics of 2d geometrically exact beam. Nonlinear Dynamics, 2016, 84(3): 1289–1302
CrossRef Google scholar
[55]
Bauchau O, Theron N. Energy decaying scheme for nonlinear elastic multi-body systems. Computers & Structures, 1996, 59(2): 317–331
CrossRef Google scholar
[56]
Kuhl D, Crisfield M. Energy-conserving and decaying algorithms in non-linear structural dynamics. International Journal for Numerical Methods in Engineering, 1999, 45(5): 569–599
CrossRef Google scholar
[57]
Armero F, Romero I. On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. Part I: low-order methods for two model problems and nonlinear elasto-dynamics. Computer Methods in Applied Mechanics and Engineering, 2001, 190(20–21): 2603–2649
CrossRef Google scholar
[58]
Signorini A. On some issues elastostatic . Proceedings of the Italian Society for the Progress of Sciences, 1933 , 21(2):143–148 (in Italian)
[59]
Fichera G. Elastostatic Problems with Unilateral Constraints: The Signorini Problem with Ambiguous Boundary Conditions. United States: Aerospace Research Laboratories, 1964
[60]
Moreau J J. Quadratic programming in mechanics: Dynamics of one-sided constraints. SIAM Journal on Control, 1966, 4(1): 153–158
CrossRef Google scholar
[61]
Reissner E. On one-dimensional finite-strain beam theory: The plane problem . Journal of Applied Mathematics and Physics (ZAMP), 1972, 23(5): 795–804   https://doi.org/10.1007/BF01602645
[62]
Ellingwood B R, Smilowitz R, Dusenberry D O, Duthinh D, Lew H S, Carino N J. Best Practices for Reducing the Potential for Progressive Collapse in Buildings . Technical Report No. 7396. 2007
[63]
Ibrahimbegović A. Nonlinear Solid Mechanics: Theoretical Formulations and Finite Element Solution Methods. Dordrecht: Springer , 2009, 160
[64]
Huang J, Zhu W. Nonlinear dynamics of a high-dimensional model of a rotating Euler Bernoulli beam under the gravity load. Journal of Applied Mechanics, 2014, 81(10): 101007
CrossRef Google scholar
[65]
Wriggers P. Finite element algorithms for contact problems. Archives of Computational Methods in Engineering, 1995, 2(4): 1–49
CrossRef Google scholar
[66]
Brank B, Korelc J, Ibrahimbegović A. Dynamics and time-stepping schemes for elastic shells undergoing finite rotations. Computers & Structures, 2003, 81(12): 1193–1210
CrossRef Google scholar
[67]
Pham B, Brancherie D, Davenne L, Ibrahimbegović A. Stress-resultant models for ultimate load design of reinforced concrete frames and multi-scale parameter estimates. Computational Mechanics, 2013, 51(3): 347–360
CrossRef Google scholar
[68]
Imamovic I, Ibrahimbegović A, Knopf-Lenoir C, Mesic E. Plasticity-damage model parameters identification for structural connections. Coupled Systems Mechanics, 2015,  4(4):337–364

RIGHTS & PERMISSIONS

2020 Higher Education Press
AI Summary AI Mindmap
PDF(1546 KB)

Accesses

Citations

Detail

Sections
Recommended

/