Weibull distribution based constitutive model for nonlinear analysis of RC beams

다국어 초록 (Multilingual Abstract)

Reinforced concrete is a complex material to be modeled in finite element domain. A proper material model is necessary to represent the nonlinear behaviour accurately. Though the nonlinear analysis of RC structures evolved long back, still an accurate and reliable model to predict the realistic behaviour of components are limited. It is observed from literature that there are three well-known models to represent the nonlinear behaviour of concrete. These models include Chu model (1985), Hsu model (1994) and Saenz model (1964).A new stress-strain model based on Weibull distribution has been proposed in the present study. The objective of the present study is to analyze a reinforced concrete beam under flexural loading by employing all the models. Nonlinear behaviour of concrete is considered in terms of stress vs. strain, damage parameter, tension stiffening behaviour etc. The ductility of the RC beams is computed by using deflection based and energy based concepts. Both deflection ductility and energy based ductility is compared and energy based concept is found to be in good correlation with the experiments conducted. The behavior of RC beam predicted using ABAQUS has been compared with the corresponding experimental observations. Comparison between numerical and experimental results confirms that these four constitutive models are reliable in predicting the behaviour of RC structures and any of the models can be employed for analysis.

참고문헌 (Reference)

1 Hsu, T. T., "Unified theory of reinforced concrete-a summary" 2 (2): 1-16, 1994

2 Ayub, T., "Stress-strain response of high strength concrete and application of the existing models" 8 (8): 1174-1190, 2014

3 Carreira, D. J., "Stress-strain relationship for plain concrete in compression" 82 (82): 797-804, 1985

4 Alwathaf, A. H., "Stress-strain modelling of reinforced concrete membrane structures" 6 (6): 6820-6828, 2011

5 Rajagopal, S., "Seismic behavior evaluation of exterior beam-column joints with headed or hooked bars using nonlinear finite element analysis" 7 (7): 861-875, 2014

6 Hasan M. Albegmprli, "Reliability analysis of reinforced concrete haunched beams shear capacity based on stochastic nonlinear FE analysis" 사단법인 한국계산역학회 15 (15): 259-277, 2015

7 Bahrami, A., "Numerical study of concrete-filled steel composite stub columns with steel stiffeners" 11 : 683-703, 2014

8 Ahmed Shuraim, B., "Numerical forensic model for the diagnosis of a full-scale RC floor" 1 : 1-19, 2012

9 Sankar Jegadesh, J. S., "Numerical analysis of RC shear critical beams" 3 (3): 69-75, 2014

10 Bathe, K. J., "Nonlinear analysis of concrete structures" 32 (32): 563-590, 1989

11 Kwak, H. G., "Nonlinear analysis of RC beam subject to cyclic loading" 127 (127): 1436-1444, 2001

12 Mattar, I. S. A. I., "Nonlinear FE model for RC beams shearstrengthened with FRP" 68 (68): 12-23, 2016

13 Yu, M. H., "Generalized Plasticity" Springer Science & Business Media 2006

14 Sinaei, H., "Evaluation of reinforced concrete beam behaviour using finite element analysis by ABAQUS" 7 (7): 2002-2009, 2012

15 Park, K., "Determination of the kink point in the bilinear softening model for concrete" 75 : 3806-3818, 2008

16 Peiying, G., "Determination of local damage probability in concrete structure" 28 : 489-493, 2012

17 Hu, H. T., "Constitutive modeling of reinforced concrete and prestressed concrete structures strengthened by fiber-reinforced plastics" 92 : 1640-1650, 2010

18 Hu, H. T., "Constitutive modeling of concrete by using non-associated plasticity" 1 (1): 199-216, 1989

19 Yang, K., "Constitution and application of RPC constitutive model" 2 (2): 565-572, 2016

20 Murthy, A. R., "Bilinear tension softening diagrams of concrete mixes corresponding to their size-independent specific fracture energy" 47 : 1160-1166, 2013

21 Dawari, V. B., "Application of nonlinear concrete model for finite element analysis of reinforced concrete beams" 5 (5): 776-782, 2014

22 Murthy, A. R., "An improved concrete damage model for impact analysis of concrete structural components by using finite element method" 37 (37): 77-96, 2013

23 Wahalathantri, B. L., "A material model for flexural crack simulation in reinforced concrete elements using ABAQUS" 2011

24 Koksal, H. O., "A failure criterion for RC members under triaxial compression" 24 (24): 137-154, 2006

25 Bencardino, F., "3D FE Analysis of RC beams externally strengthened with SRG/SRP systems" 4 (4): 1-13, 2016