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Abstract
This paper examines the structural response of reinforced concrete flat slabs, provided with fully-embedded shear-heads, through detailed three-dimensional nonlinear numerical simulations and parametric assessments using concrete damage plasticity models. Validations of the adopted nonlinear finite element procedures are carried out against experimental results from three test series. After gaining confidence in the ability of the numerical models to predict closely the full inelastic response and failure modes, numerical investigations are carried out in order to examine the influence of key material and geometric parameters. The results of these numerical assessments enable the identification of three modes of failure as a function of the interaction between the shear-head and surrounding concrete. Based on the findings, coupled with results from previous studies, analytical models are proposed for predicting the rotational response as well as the ultimate strength of such slab systems. Practical recommendations are also provided for the design of shear-heads in RC slabs, including the embedment length and section size. The analytical expressions proposed in this paper, based on a wide-ranging parametric assessment, are shown to offer a more reliable design approach in comparison with existing methods for all types of shear-heads, and are suitable for direct practical application.
Keywords
non-linear numerical modelling
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concrete damage plasticity
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RC flat slabs
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shear-heads
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punching shear
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Dan V. BOMPA, Ahmed Y. ELGHAZOULI.
Nonlinear numerical simulation of punching shear behavior of reinforced concrete flat slabs with shear-heads.
Front. Struct. Civ. Eng., 2020, 14(2): 331-356 DOI:10.1007/s11709-019-0596-5
| [1] |
Lips S, Fernández Ruiz M, Muttoni A. Experimental investigation on punching strength and deformation capacity of shear-reinforced slabs. ACI Structural Journal, 2012, 109: 889–900
|
| [2] |
Park H G, Kim Y N, Song J G, Kang S M. Lattice shear reinforcement for enhancement of slab-column connections. Journal of Structural Engineering, 2012, 138(3): 425–437
|
| [3] |
Gosav A V, Kiss Z I, Oneţ T, Bompa D V. Failure assessment of flat slab-to-column members. Magazine of Concrete Research, 2016, 68(17): 887–901
|
| [4] |
Bryl S. Flat slabs with shear-heads. Schweizerische Bauzeitung, 1969, 87(10): 181–183 (in German)
|
| [5] |
Gomes R, Regan P. Punching strength of slabs reinforced for shear with offcuts of rolled steel I-section beams. Magazine of Concrete Research, 1999, 51(2): 121–129
|
| [6] |
Corley W G, Hawkins N M. Shear-head reinforcement for slabs. ACI Journal Proceedings, 1968, 65(10): 811–824
|
| [7] |
Hawkins N W, Corley W G. Moment transfer to columns in slabs with shear-head reinforcement. Special Publication, 1974, 42: 847–880
|
| [8] |
Al-Hamd R K, Gillie M, Cunningham L S, Warren H, Albostami A S. Novel shear-head reinforcement for slab-column connections subject to eccentric load and fire. Archives of Civil and Mechanical Engineering, 2019, 19(2): 503–524
|
| [9] |
Ngekpe B, Abbey S, Olubanwo A. Structural performance of a modified shear-head assembly for edge steel column embedded in reinforced concrete slab. Engineering Solid Mechanics, 2019, 7(1): 59–70
|
| [10] |
Gilbert S G, Glass C. Punching failure of reinforced concrete flat slabs at edge columns. Structural Engineer. Part B, 1987, 65: 16–28
|
| [11] |
Kenel A, Keller T. External Steel Shear Heads for Retroactive Enhancement of Punching Shear Strength in Existing Flat Slabs. Technical Report. F. J. Aschwanden AG, CH-3250. 2013
|
| [12] |
Bompa D V, Elghazouli A Y. Structural performance of RC flat slabs connected to steel columns with shear-heads. Engineering Structures, 2016, 117: 161–183
|
| [13] |
Kahn J. US Patent, 926,497. 1909
|
| [14] |
Hardison R M. US Patent, 1,550,317. 1925
|
| [15] |
Wheeler W H. Thin flat-slab floors prove rigid under test. Engineering News Record, 1936, 116(2): 49–50
|
| [16] |
Godycki T, Kozicki J. Eccentrically loaded interior slab-column connections with shear-head reinforcement. Materials and Structures, 1984, 17(2): 145–148
|
| [17] |
Majeed M M, Abbas A N. Punching shear strength characteristics of flat plate panels reinforced with shear-head collars: Experimental investigation. Civil Engineering Journal, 2019, 5(3): 528–539
|
| [18] |
Huber K M, Bryl S. Discussion of “Shear reinforcement for concrete slabs” by Walter H. Dilger and Amin Ghali (December, 1981). Journal of Structural Engineering, 1984, 110(1): 169–171
|
| [19] |
Frangi T, Tonis D, Muttoni A. Assessment of column supports made of steel. Schweizer Ingenieur und Architekt, 1997, 1997: 12–14 (in German)
|
| [20] |
Chana P S, Birjandi F K. Design Guidance on Structural Steel Shear-Heads in Concrete (Shear-Head Development Tests). Concrete Research and Innovation Centre, Imperial College, London. Report No. CRIC95/001/F. 1996
|
| [21] |
Piel W, Hanswille G. Composite shear-head systems for improved punching shear resistance of flat slabs. Construction in Steel and Concrete, 2006, V: 226–235
|
| [22] |
Elghazouli A Y, Izzuddin B A. Realistic modeling of composite and reinforced concrete floor slabs under extreme loading. II: Verification and application. Journal of Structural Engineering, 2004, 130(12): 1985–1996
|
| [23] |
Castro J M, Elghazouli A Y, Izzuddin B A. Modelling of the panel zone in steel and composite moment frames. Engineering Structures, 2005, 27(1): 129–144
|
| [24] |
Castro J M, Elghazouli A Y, Izzuddin B A. Assessment of effective slab widths in composite beams. Journal of Constructional Steel Research, 2007, 63(10): 1317–1327
|
| [25] |
Lemaitre J. Evaluation of dissipation and damage in metals submitted to dynamic loading. In: Proceedings of International Conference of Mechanical Behavior of Materials 1 (ICM 1). Kyoto: The Society of Material Science, 1971, 1–20
|
| [26] |
Bažant Z P, Oh B H. Crack band theory for fracture of concrete. Matériaux et Constructions, 1983, 16(3): 155–177
|
| [27] |
Jirásek M, Zimmermann T. Rotating crack model with transition to scalar damage. Journal of Engineering Mechanics, 1998, 124(3): 277–284
|
| [28] |
Ozbolt J. Size effect and ductility of concrete and reinforced concrete structures. Dissertation for Habilitation. Stuttgart: Universität Stuttgart, 1995
|
| [29] |
Rabczuk T, Akkermann J, Eibl J. A numerical model for reinforced concrete structures. International Journal of Solids and Structures, 2005, 42(5–6): 1327–1354
|
| [30] |
Bittencourt T N, Wawrzynek P A, Ingraffea A R, Sousa J L. Quasi-automatic simulation of crack propagation for 2D LEFM problems. Engineering Fracture Mechanics, 1996, 55(2): 321–334
|
| [31] |
Loehnert S, Belytschko T. A multiscale projection method for macro/microcrack simulations. International Journal for Numerical Methods in Engineering, 2007, 71(12): 1466–1482
|
| [32] |
Oliyer J. Continuum modelling of strong discontinuities in solid mechanics using damage models. Computational Mechanics, 1995, 17(1–2): 49–61
|
| [33] |
Areias P, Rabczuk T. Finite strain fracture of plates and shells with configurational forces and edge rotations. International Journal for Numerical Methods in Engineering, 2013, 94(12): 1099–1122
|
| [34] |
Areias P, Rabczuk T, Camanho P P. Finite strain fracture of 2D problems with injected anisotropic softening elements. Theoretical and Applied Fracture Mechanics, 2014, 72: 50–63
|
| [35] |
Teng X, Wierzbicki T. Evaluation of six fracture models in high velocity perforation. Engineering Fracture Mechanics, 2006, 73(12): 1653–1678
|
| [36] |
Oliver J. A consistent characteristic length for smeared cracking models. International Journal for Numerical Methods in Engineering, 1989, 28(2): 461–474
|
| [37] |
Fan R, Fish J. The RS-method for material failure simulations. International Journal for Numerical Methods in Engineering, 2008, 73(11): 1607–1623
|
| [38] |
Swenson D V, Ingraffea A R. Modeling mixed-mode dynamic crack propagation using finite elements: Theory and applications. Computational Mechanics, 1988, 3(6): 381–397
|
| [39] |
Camacho G T, Ortiz M. Computational modelling of impact damage in brittle materials. International Journal of Solids and Structures, 1996, 33(20–22): 2899–2938
|
| [40] |
Lilliu G, van Mier J G M. Simulation of 3D crack propagation with the lattice model. In: Proceedings of the International Congress on Advanced Materials, Processes and Applications (Materials Week). Frankfurt: Bauverlag BV GambH, 2000
|
| [41] |
Oliver J. On the discrete constitutive models induced by strong discontinuity kinematics and continuum constitutive equations. International Journal of Solids and Structures, 2000, 37(48–50): 7207–7229
|
| [42] |
Song J H, Areias P M A, Belytschko T. A method for dynamic crack and shear band propagation with phantom nodes. International Journal for Numerical Methods in Engineering, 2006, 67(6): 868–893
|
| [43] |
Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343
|
| [44] |
Rabczuk T, Zi G. A meshfree method based on the local partition of unity for cohesive cracks. Computational Mechanics, 2007, 39(6): 743–760
|
| [45] |
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
|
| [46] |
Rabczuk T, Belytschko T. Application of particle methods to static fracture of reinforced concrete structures. International Journal of Fracture, 2006, 137(1–4): 19–49
|
| [47] |
Rabczuk T, Belytschko T. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799
|
| [48] |
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
|
| [49] |
Rabczuk T, Bordas S, Zi G. On three-dimensional modelling of crack growth using partition of unity methods. Computers and Structures, 2010, 88(23–24): 1391–1411
|
| [50] |
Areias P, Msekh M A, Rabczuk T. Damage and fracture algorithm using the screened Poisson equation and local remeshing. Engineering Fracture Mechanics, 2016, 158: 116–143
|
| [51] |
Areias P, Rabczuk T. Steiner-point free edge cutting of tetrahedral meshes with applications in fracture. Finite Elements in Analysis and Design, 2017, 132: 27–41
|
| [52] |
Areias P, Rabczuk T, Msekh M A. Phase-field analysis of finite-strain plates and shells including element subdivision. Computer Methods in Applied Mechanics and Engineering, 2016, 312: 322–350
|
| [53] |
Areias P, Reinoso J, Camanho P P, César de Sá J, Rabczuk T. Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation. Engineering Fracture Mechanics, 2018, 189: 339–360
|
| [54] |
Kachanov L. Rupture time under creep conditions. Izvestiia Akademii Nauk SSSR. Seriia Khimicheskaia, 1958, 8: 26–31
|
| [55] |
Cicekli U, Voyiadjis G Z, Abu Al-Rub R K. A plasticity and anisotropic damage model for plain concrete. International Journal of Plasticity, 2007, 23(10–11): 1874–1900
|
| [56] |
Grassl P, Jirásek M. Damage-plastic model for concrete failure. International Journal of Solids and Structures, 2006, 43(22–23): 7166–7196
|
| [57] |
Lee J, Fenves G L. Plastic-damage model for cyclic loading of concrete structures. Journal of Engineering Mechanics, 1998, 124(8): 892–900
|
| [58] |
Xu B, Bompa D V, Elghazouli A Y, Ruiz-Teran A M, Stafford P J. Behaviour of rubberised concrete members in asymmetric shear tests. Construction & Building Materials, 2018, 159: 361–375
|
| [59] |
Bompa D V, Elghazouli A Y. Monotonic and cyclic performance of threaded reinforcement splices. Structures, 2018, 16: 358–372
|
| [60] |
Gorga R V, Sanchez L F, Martín-Pérez B. FE approach to perform the condition assessment of a concrete overpass damaged by ASR after 50 years in service. Engineering Structures, 2018, 177: 133–146
|
| [61] |
Belletti B, Muttoni A, Ravasini S, Vecchi F. Parametric analysis on punching shear resistance of reinforced concrete continuous slabs. Magazine of Concrete Research, 2018, 12: 1–32
|
| [62] |
Marí A, Cladera A, Oller E, Bairán J M. A punching shear mechanical model for reinforced concrete flat slabs with and without shear reinforcement. Engineering Structures, 2018, 166: 413–426
|
| [63] |
Wosatko A, Pamin J, Polak M A. Application of damage-plasticity models in finite element analysis of punching shear. Computers & Structures, 2015, 151: 73–85
|
| [64] |
Moharram M I, Bompa D V, Elghazouli A Y. Performance and design of shear-keys in hybid RC beam and steel column systems. Ce/Papers, 2017, 1(2–3): 2031–2040
|
| [65] |
Bompa D V, Elghazouli A Y. Force transfer mechanisms between steel columns and reinforced concrete beams by means of shear keys. In: Proceedings of EUROSTEEL 2014: The 7th European Conference on Steel and Composite Structures. Napoli: ECCS, 2014, 10–12
|
| [66] |
Behnam H, Kuang J S, Samali B. Parametric finite element analysis of RC wide beam-column connections. Computers & Structures, 2018, 205: 28–44
|
| [67] |
Nzabonimpa J D, Hong W K, Kim J. Nonlinear finite element model for the novel mechanical beam-column joints of precast concrete-based frames. Computers & Structures, 2017, 189: 31–48
|
| [68] |
Eder M A, Vollum R L, Elghazouli A Y, Abdel-Fattah T. Modelling and experimental assessment of punching shear in flat slabs with shear-heads. Engineering Structures, 2010, 32(12): 3911–3924
|
| [69] |
Bompa D V, Elghazouli A Y. Numerical modelling and parametric assessment of hybrid flat slabs with steel shear heads. Engineering Structures, 2017, 142: 67–83
|
| [70] |
Bompa D V, Elghazouli A Y. Ultimate behaviour and design of hybrid flat slabs with steel shear heads. Ce/Papers, 2017, 1(2–3): 2310–2319
|
| [71] |
Burley B, Boothby T. Medical Office Building Malvern, PA. Final Report. Penn State University, Technical Report. 2005
|
| [72] |
Gnädinger M N. Punching shear strength of flat slabs with shear-heads. Thesis for the Master’s Degree. Lucerne: Hochschule Luzern, 2011
|
| [73] |
De Sutter K. Numerical investigation of the punching shear behaviour of flat plates with column head strengthening. Thesis for the Master’s Degree. Munchen: Technische Universitat Munchen, 2015
|
| [74] |
Hugenschmidt J, Fischer A, Schiavi L. Investigation of punching reinforcement in flat slabs. Beton- und Stahlbetonbau, 2014, 109(4): 257–264 (In German)
|
| [75] |
Zhang A, Ma X, Fang H, Mu J, Liu T. Seismic behaviour of connections between prefabricated RC flat slabs and square steel tube columns. Engineering Structures, 2018, 173: 800–812
|
| [76] |
Kim J W, Lee C H, Kang T H K. Shear-head reinforcement for concrete slab to concrete-filled tube column connections. ACI Structural Journal, 2014, 111(3): 629–638
|
| [77] |
BCA (British Cement Association). Prefabricated Punching Shear Reinforcement for Reinforced Concrete Flat Slabs. Technical Report. 2001
|
| [78] |
CEN (European Committee for Standardization). EN 1992-1-1. Eurocode 2: Design of Concrete Structures—Part 1-1: General Rules and Rules for Buildings. Brussels: CEN, 2004
|
| [79] |
The International Federation for Structural Concrete: FIB. FIB Bulletin No. 66-Model Code 2010—Final draft, Vol 2. Lausanne: The International Federation for Structural Concrete: FIB, 2012
|
| [80] |
ACI (American Concrete Institute). ACI 318M-14 Building Code Requirements for Structural Concrete and Commentary. Farmington Hills, MI: ACI, 2014
|
| [81] |
Guandalini S, Burdet O L, Muttoni A. Punching tests of slabs with low reinforcement ratios. ACI Structural Journal, 2009, 106: 87–95
|
| [82] |
DSS (Dassault Systèmes Simulia Corp). ABAQUS Analysis User’s Manual 6.14-2. Providence, RI: DSS, 2014
|
| [83] |
Moharram M I, Bompa D V, Elghazouli A Y. Experimental and numerical assessment of mixed RC beam and steel column systems. Journal of Constructional Steel Research, 2017, 131: 51–67
|
| [84] |
Hordijk D A. Local approach to fatigue of concrete. Dissertation for the Doctoral Degree. Delft: Delft University of Technology, 1991
|
| [85] |
Bompa D V, Onet T. Punching shear strength of RC flat slabs at interior connections to columns. Magazine of Concrete Research, 2016, 68(1): 24–42
|
| [86] |
Genikomsou A S, Polak M A. Finite element analysis of punching shear of concrete slabs using damaged plasticity model in ABAQUS. Engineering Structures, 2015, 98: 38–48
|
| [87] |
Bompa D V, Onet T. Identification of concrete damaged plasticity constitutive parameters. In: The National Technical Scientific Conference—Modern Technologies for the 3rd Millenium. Oradea: University of Oradea, 2010
|
| [88] |
Baltay P, Gjelsvik A. Coefficient of friction for steel on concrete at high normal stress. Journal of Materials in Civil Engineering, 1990, 2(1): 46–49
|
| [89] |
Rabbat B G, Russell H G. Friction coefficient of steel on concrete or grout. Journal of Structural Engineering, 1985, 111(3): 505–515
|
| [90] |
Muttoni A. Punching shear strength of reinforced concrete slabs without transverse reinforcement. ACI Structural Journal, 2008, 105(4): 440–450
|
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