Application of Nonlinear Finite Element Analysis on Shear-Critical Reinforced Concrete Beams
DOI:
https://doi.org/10.5614/j.eng.technol.sci.2021.53.4.8Keywords:
ATENA, GiD, nonlinear finite element, shear failure, smeared crackAbstract
This paper presents the application of a smeared fixed crack approach for nonlinear finite element analysis of shear-critical reinforced concrete beams. The experimental data was adopted from tests undertaken on twelve reinforced concrete beams by Bresler and Scordelis in 1963, and from duplicate tests undertaken by Vecchio and Shim in 2004. To this end, all beams were modeled in 3D using the software package ATENA-GiD. In the modeling, the nonlinear behaviors of the concrete were represented by fracture-plastic constitutive models, which were formulated within the smeared crack and crack/crush band approaches. The applicability of nonlinear analysis was demonstrated through accurate simulations of the full load-deflection responses, underlying mechanisms, crack patterns, and failure modes of all 24 beams. Detailed documentation of the results is presented to demonstrate the potential and practical value of nonlinear finite element analysis in providing an informed assessment of the safety and performance of reinforced concrete structures.
Downloads
References
Bae, B.I., Chung, J.H., Choi, H.K., Jung, H.S. & Choi, C.S., Experimental Study on the Cyclic Behavior of Steel Fibre Reinforced High Strength Concrete Columns and Evaluation of Shear Strength, Engineering Structures, 157, pp. 250-267, 2018.
Ziara, M.M., Haldane, D. & Hood, S., Proposed Changes to Flexural Design in BS 8110 to Allow Over-Reinforced Sections to Fail in a Ductile Manner, Magazine of Concrete Research, 52(6), pp. 443-454, 2000.
Duong, K.V., Seismic Behaviour of Shear-critical Reinforced Concrete Frame: An Experimental and Numerical Investigation, MASc Thesis, University of Toronto, 2006.
Sharma, A., Eligehausen, R. & Reddy, G.R., A New Model to Simulate Joint Shear Behaviour of Poorly Detailed Beam-Column Connections in RC Structures under Seismic Loads, Part I: Exterior Joints, Engineering Structures, 33(3), pp. 1034-1051, 2011.
Collins, M.P., Bentz, E.C. & Sherwood, E.G., Where is Shear Reinforcement Required? Review of Research Results and Design Procedures, ACI Structural Journal, 105(5), pp. 590-600, 2008.
Budiono, B., Dewi, H., Triani, N., Lim, E. & Sahadewa, A., Finite Element Analysis of Reinforced Concrete Coupling Beams, Journal of Engineering & Technological Sciences, 51(6), pp. 762-771, 2019.
Pimanmas, A. & Maekawa, K., Finite Element Analysis and Behaviour of Pre-cracked Reinforced Concrete Members in Shear, Magazine of Concrete Research, 53(4), pp. 263-282, 2001.
Suryanto, B., Nagai, K. & Maekawa, K., Modeling and Analysis of Shear-critical ECC Members with Anisotropic Stress and Strain Fields, Journal of Advanced Concrete Technology, 8(2), pp. 239-258, 2010.
Bujadham, B. & Maekawa, K., The Universal Model for Stress Transfer Across Cracks in Concrete, Proceedings of JSCE, 451(17), pp. 227-287, 1992.
Suryanto, B., Nagai, K. & Maekawa, K., Smeared-crack Modeling of R/ECC Membranes Incorporating an Explicit Shear Transfer Model, Journal of Advanced Concrete Technology, 8(3), pp. 315-326, 2010.
Shima, H., Chou, L.L. & Okamura, H., Micro and Macro Models for Bond in Reinforced Concrete, Journal of the Faculty Engineering, 39(2), pp. 133-194, 1987.
Belarbi, A. & Hsu, T.T.C., Constitutive Laws of Concrete in Tension and Reinforcing Bars Stiffened by Concrete, ACI Structural Journal, 91(4), pp. 465-474, 1994.
Maekawa, K., Okamura, H. & Pimanmas, A., Nonlinear Mechanics of Reinforced Concrete, Spon Press, London, UK, 2003.
FIB Bulletin No. 45, Practitioners' Guide to Finite Element Modelling of Reinforced Concrete Structures, State-of-Art Report, Jun. 2008.
Tambusay, A., Suryanto, B. & Suprobo, P., Visualization of Shear Cracks in a Reinforced Concrete Beam using the Digital Image Correlation, International Journal on Advanced Science, Engineering and Information Technology, 8(2), pp. 573-578, 2018.
Feld, J. & Carper, K.L., Construction Failure, Second Edition, John Wiley & Sons, Inc., New York, US. 1996.
Mitchell, D., Marchand, J., Croteau, P. & Cook, W.D., Concorde Overpass Collapse: Structural Aspects, 25(6), pp. 545-553, 2011.
Suryanto, B., Tambusay, A. & Suprobo, P., Crack Mapping on Shear-critical Reinforced Concrete Beams using an Open Source Digital Image Correlation Software, Civil Engineering Dimension, 19(2), pp. 93-98, 2017.
Suryanto, B., Morgan, R. & Han, A.L., Predicting the Response of Shear-critical Reinforced Concrete Beams Using Response-2000 and SNI 2847:2013, Civil Engineering Dimension, 18(1), pp. 16-24, 2016.
Ayoub, A. & Filippou, F.C., Nonlinear Finite Element Analysis of Reinforced Concrete Shear Panels and Walls, ASCE Journal of Structural Engineering, 124(3), pp. 298-308, 1998.
Chung, W. & Ahmad, S.H., Analytical Model for Shear Critical Reinforced Concrete Members, ASCE Journal of Structural Engineering, 121(6), pp. 1023-1030, 1995.
Dabbagh, H. & Foster, S.J., A Smeared ? Fixed Crack Model for FE Analysis of RC Membranes Incorporating Aggregate Interlock, Advances in Structural Engineering, 9(1), pp. 91-102, 2006.
Vecchio, F.J., Analysis of Shear-critical Reinforced Concrete Beams, ACI Structural Journal, 97(1), pp. 102-110, 2000.
Vecchio, F.J. & Shim, W., Experimental and Analytical Reexamination of Classic Concrete Beam Tests, Journal of Structural Engineering, 130(3), pp. 460-469, 2004.
Bresler, B. & Scordelis, A., Shear Strength of Reinforced Concrete Beams, Journal of American Concrete Institute, 60(1), pp. 51-72, 1963.
Caresa, P. & Viquez, A.G., Nonlinear Analysis of Shear Critical RC Members using Current FE Software, 6th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Greece, Jun. 2017.
Ma, R.L., Program Sherlock: A Tool for Stochastic Finite Element Analysis and Field Assessment of Concrete Structures, MASc Thesis, University of Toronto, Canada, 2018.
Bernard, S., Finite Element Modelling of Reinforced Concrete Beams with Corroded Shear Reinforcement, MASc Thesis, University of Ottawa, Canada, 2013.
?ervenka Consulting, ATENA for Non-linear Finite Element Analysis of Reinforced Concrete Structures, https://www.cervenka.cz/company/ (April 2020)
Tambusay, A. & Suprobo, P., Predicting the Flexural Response of a Reinforced Concrete Beam using the Fracture-Plastic Model, Journal of Civil Engineering, 34(2), pp. 61-67, 2019.
?ervenka, V., ?ervenka, J., Pukl, R. & Sajdlova, T., Prediction of Shear Failure of Large Beam Based on Fracture Mechanics, 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures (FraMCoS-9), 2016.
Don, W., Chong, K., Aitken, M., Tambusay, A., Suryanto, B. & Suprobo, P., Influence of Link Spacing on Concrete Shear Capacity: Experimental Investigations and Finite Element Studies, IOP Conference Series: Materials Science and Engineering, 930(1), 012052, 2020.
Kadlec, L. & ?ervenka, V., Uncertainty of Numerical Models for Punching Resistance of RC Slabs, FIB Symposium Copenhagen, Denmark, 2015.
Tambusay, A., Suryanto, B. & Suprobo, P., Nonlinear Finite Element Analysis of Reinforced Concrete Beam-Column Joints Under Reversed Cyclic Loading, IOP Conference Series: Materials Science and Engineering, 930(1), 012055, 2020
Hajkova, K., Smilauer, V., Jendele, L. & ?ervenka, J., Prediction of Reinforcement Corrosion due to Chloride Ingress and Its Effects on Serviceability, Engineering Structures, 174(1), pp. 768-777, 2018.
Jendele, L. & ?ervenka, J., On the Solution of Multi-Point Constraints ? Application to FE Analysis of Reinforced Concrete Structures, Computers & Structures, 87(15-16), pp. 970-980, 2009.
?ervenka, V., Jendele, L. & ?ervenka, J., ATENA Program Documentation ? Part 1: Theory, ?ervenka Consulting, Prague, December 3, 2018.
Menrey, P. & Willam, K.J., Triaxial Failure Criterion for Concrete and Its Generalization, ACI Structural Journal, 95(3), pp. 311-318, 1995.
?ervenka, J., ?ervenka, V. & Laserna, S., On Crack Band Model in Finite Element Analysis of Concrete Fracture in Engineering Practice, Engineering Fracture Mechanics, 197, pp. 27-47, 2018.
Hordijk, D.A., Local Approach to Fatigue of Concrete, PhD dissertation, Delft University of Technology, 1991.
CEB-FIP, ComitEuro-International du Bon (CEB-FIP Model Code 1990), Information Bulletin, 195, 1990.
Kolmar, W., Beschreibung der Kraftuebertragung er Risse in Nichtlinearen Finite-Element-Berechnungen von Stahlbetontragwerken, PhD Thesis, Darmstadt University of Technology, Germany, 1986.
Vecchio, F.J. & Collins M.P., Modified Compression-Field Theory for Reinforced Concrete Beams Subjected to Shear, ACI Journal, 83(2), pp. 219-231, 1986.
ACI 318M-14, Building Code Requirements for Structural Concrete and Commentary, American Concrete Institute, 2014.
.png){kind=logo}
