Restricted accessResearch articleFirst published online 2021-6
Finite element modelling of plain and reinforced concrete specimens with the Kotsovos and Pavlovic material model,smeared crack approach and fine meshes
Modelling of concrete through 3 D constitutive material models is a challenging subject due to the numerous nonlinearities that occur during the monotonic and cyclic analysis of reinforced concrete structures. Additionally, the ultimate limit state modelling of plain concrete can lead to numerical instabilities given the lack of steel rebars that usually provide with the required tensile strength inducing numerical stability that is required during the nonlinear solution procedure. One of the commonly used 3 D concrete material models is that of the Kotsovos and Pavlovic, which until recently it was believed that when integrated with the smeared crack approach, it can only be used in combination with relatively larger in size finite elements. The objective of this study is to investigate into this misconception by developing different numerical models that foresee the use of fine meshes to simulate plain concrete and reinforced concrete specimens. For the needs of this research work, additional experiments were performed on cylindrical high strength concrete specimens that were used for additional validation purposes, whereas results on a reinforced concrete beam found in the international literature were used as well. A discussion on the numerical findings will be presented herein by comparing the different experimental data with the numerically predicted mechanical response of the under study concrete material model.
AbedFHAl-Rahmani A and Al-RahmaniAH (2013) Finite element simulations of the shear capacity of GFRP-reinforced concrete short beams. In: IEEE 5th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO), Hammamet, Tunisia.
3.
AlHamaydehMMarkouGSaadiD (2017) Nonlinear FEA of soil-structure-interaction effects on RC shear wall structures. In: 6th international conference on computational methods in structural dynamics and earthquake engineering, Rhodes Island, Greece, 15–17 June 2017.
4.
ANSYS structural (2019). Available at: www.ansys.com (accessed 29 December 2020).
5.
CotsovosDMZeris ChAAbasAA (2009) Finite element modeling of structural concrete. In: ECCOMAS thematic conference on computational methods in structural dynamics and earthquake engineering, Rhodes, Greece, COMPDYN 22–24 June, 2009.
6.
EN 1992-1-1 (2004) (English): Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings.
7.
EngenMHendriksMANØverliJA, et al. (2017)
Non-linear finite element analyses applicable for the design of large reinforced concrete structures. European Journal of Environmental and Civil Engineering23(11): 1381–1403.
8.
GravettDZMourlasCMarkouG, et al. (2019). Numerical performance of a new algorithm for performing modal analysis of full-scale reinforced concrete structures that are discretized with the HYMOD approach. In: COMPDYN 2019, 7th international conference on computational methods in structural dynamics and earthquake engineering, Crete, Greece, 24–26 June.
9.
KearsleyEJacobszSW. (2018) Condition assessment of reinforced concrete beams – Comparing digital image analysis with optic fibre Bragg gratings. In: ICCRRR 2018, MATEC Web of Conferences 199, 06011.
10.
KimN-SLeeJ-HChangS-P (2009)
Equivalent multi-phase similitude law for pseudodynamic test on small scale reinforced concrete models. Engineering Structures31(4): 834–846.
11.
KotsovosMDPavlovicMN (1995) Structural Concrete. Finite Element Analysis for Limit State Design.
London, UK:
Thomas Telford.
12.
LiXChenJ (2017)
An extended cohesive damage model for simulating arbitrary damage propagation in engineering materials. Computer Methods in Applied Mechanics and Engineering315: 744–759.
13.
LiXGaoWLiuW (2019)
A mesh objective continuum damage model for quasi-brittle crack modelling and finite element implementation. International Journal of Damage Mechanics28(9): 1299–1322.
14.
LS-DYNA (2019). User Manual.
Livermore, CA:
Livermore Software Technology Corporation.
15.
LykidisG (2007)
Static and dynamic analysis of reinforced concrete structures with 3D finite elements and the smeared crack approach. PhD Thesis, NTUA, Greece.
16.
MarkouG (2011)
Detailed three-dimensional nonlinear hybrid simulation for the analysis of large-scale reinforced concrete structures. PhD Thesis, NTUA, Greece.
17.
MarkouG (2013) Numerical investigation of a 3D detailed limit-state simulation of a full-scale RC bridge. In: SEECCM III, 3rd South-East European conference on computational mechanics, Kos Island, Greece, 12–14 June 2013.
18.
MarkouG (2015)
Computational performance of an embedded reinforcement mesh generation method for large-scale RC simulations. International Journal of Computational Methods12(03): 1550019.
19.
MarkouG (2018) A parallel algorithm for the embedded reinforcement mesh generation of large-scale reinforced concrete models. In: The Greek Association of Computational Mechanics (GRACM) in association with the School of Production Engineering & Management of the Technical University of Crete organize the 9th conference in a series of congresses in the area of Computational Mechanics. Chania, Greece, 4–6 June, pp. 211–218.
20.
MarkouGAlHamaydehM (2018)
3D finite element modeling of GFRP-reinforced concrete deep beams without shear reinforcement. International Journal of Computational Methods15(02): 1850001–1850035.
21.
MarkouGGencoF (2019)
Seismic assessment of small modular reactors: NuScale case study for the 8.8 Mw earthquake in Chile. Nuclear Engineering and Design342(2019): 176–204.
22.
MarkouGPapadrakakisM (2013)
Accurate and computationally efficient 3D finite element modeling of RC structures. Computers and Concrete12(4): 443–498.
23.
MarkouGPapadrakakisM (2015)
A simplified and efficient hybrid finite element model (HYMOD) for non-linear 3D simulation of RC structures. Engineering Computations32(5): 1477–1524.
24.
MarkouGAlHamaydehMSaadiD (2018a) Effects of the soil-structure-interaction phenomenon on RC structures with pile foundations. In: The Greek Association of Computational Mechanics (GRACM) in association with the School of Production Engineering & Management of the Technical University of Crete organize the 9th conference in a series of congresses in the area of Computational Mechanics. Chania, Greece, 4–6 June, pp. 338–345.
25.
MarkouGMourlasCPapadrakakisM (2017)
Cyclic nonlinear analysis of large-scale finite element meshes through the use of hybrid modeling (HYMOD). International Journal of Mechanics11(2017): 218–225.
26.
MarkouGMourlasCPapadrakakisM (2019a)
A hybrid finite element model (HYMOD) for the non-linear 3D cyclic simulation of RC structures. International Journal of Computational Methods16(01): 1850125–1850140.
27.
MarkouGMourlasCBarkH, et al. (2018b)
Simplified HYMOD non-linear simulations of a full-scale multistory retrofitted RC structure that undergoes multiple cyclic excitations – An infill RC wall retrofitting study. Engineering Structures176(2018): 892–916.
28.
MarkouGMourlasCGarciaR, et al. (2019b) Cyclic nonlinear modeling of severely damaged and retrofitted reinforced concrete structures. In: COMPDYN 2019, 7th international conference on computational methods in structural dynamics and earthquake engineering, Crete, Greece, 24–26 June.
29.
MarkouGSabouniRSuleimanF, et al. (2015)
Full-scale modeling of the soil-structure interaction problem through the use of hybrid models (HYMOD). International Journal of Current Engineering and Technology5(2): 885–892.
30.
Menegotto M and Pinto PE (1973) Method of analysis for cyclically loaded R.C. plane frames including changes in geometry and non-elastic behaviour of elements under combined normal force and bending. Symposium on the Resistance and Ultimate Deformability of Structures Acted on by Well Defined Repeated Loads, International Association for Bridge and Structural Engineering. Zurich, Switzerland: 15–22. http://www.sciepub.com/reference/103533
31.
MourlasCGravettDZMarkouG, et al. (2019a) Investigation of the soil structure interaction effect on the dynamic behavior of multistorey RC buildings. In: VIII international conference on computational methods for coupled problems in science and engineering, COUPLED PROBLEMS, 3–5 June 2019, Sitges, Catalonia, Spain.
32.
MourlasCMarkouGPapadrakakisM (2017a) 3D nonlinear constitutive modeling for dynamic analysis of reinforced concrete structural members. In: 10th international conference on structural dynamics, EURODYN, 10–13 September, Sapienza Universita di Roma, Roma, Italy.
33.
MourlasCMarkouGPapadrakakisM (2018) Accumulated damage in nonlinear cyclic static and dynamic analysis of reinforced concrete structures through 3D detailed modeling. In: The Greek Association of Computational Mechanics (GRACM) in association with the School of Production Engineering & Management of the Technical University of Crete organize the 9th conference in a series of congresses in the area of Computational Mechanics. Chania, Greece, 4–6 June, pp.38–46.
34.
MourlasCMarkouGPapadrakakisM (2019b)
Accurate and computationally efficient nonlinear static and dynamic analysis of reinforced concrete structures considering damage factors. Engineering Structures178: 258–285.
35.
MourlasCMarkouGPapadrakakisM (2019c) 3D detailed modeling of reinforced concrete frames considering accumulated damage during static cyclic and dynamic analysis – new validation case studies. In: COMPDYN 2019, 7th international conference on computational methods in structural dynamics and earthquake engineering, Crete, Greece, 24–26 June.
36.
MourlasCPapadrakakisMMarkouG (2016) Accurate and efficient modeling for the cyclic behavior of RC structural members. In: ECCOMAS congress, VII European congress on computational methods in applied sciences and engineering, Crete Island, Greece, 5–10 June.
37.
MourlasCPapadrakakisMMarkouG (2017b)
A computationally efficient model for the cyclic behavior of reinforced concrete structural members. Engineering Structures141: 97–125.
38.
MourlasCPapadrakakisMMarkouG (2017c) Computationally efficient and accurate modeling of the cyclic behavior of reinforced concrete structural members under ultimate limit state conditions. In: 6th international conference on computational methods in structural dynamics and earthquake engineering, 15–17 June 2017, Rhodes Island, Greece.
39.
ReConAn v1.00 Finite Element Analysis Software User’s Manual (2010).
SaadiDAlHamaydehMMarkouG (2018) Investigation of soil-structure-interaction effects on RC shear wall structures via nonlinear FEA. In: UAEGSRC2018, the fourth UAE graduate students research conference, American University of Sharjah, UAE, April 21, 2018.
42.
SANS 50197-01 (2013) Cement, Part 1: Composition, Specifications and Conformity Criteria for Common Cements. Pretoria, South Africa: South African National Standard.
43.
SpiliopoulosKVLykidisGC (2006)
An efficient three-dimensional solid finite element dynamic analysis of reinforced concrete structures. Earthquake Engineering & Structural Dynamics35(2): 137–157.
44.
WellsGNSluysLJ (2001)
A new method for modelling cohesive cracks using finite elements. International Journal for Numerical Methods in Engineering50(12): 2667–2682.
45.
WillamKJWarnkeEP (1974) Constitutive model for the triaxial behaviour of concrete. In: Seminar on concrete structures subjected to triaxial stresses, Instituto Sperimentale Modeli e Strutture, Bergamo, Paper III-1.
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