Browse > Article
http://dx.doi.org/10.12989/cac.2014.14.6.695

A nonlinear model for ultimate analysis and design of reinforced concrete structures  

Morfidis, Konstantinos (Institute of Engineering Seismology and Earthquake Engineering (EPPO-ITSAK))
Kiousis, Panos D. (Colorado School of Mines, Department of Civil and Environmental Engineering)
Xenidis, Hariton (Department of Civil Engineering, Aristotle University of Thessaloniki, Aristotle University campus)
Publication Information
Computers and Concrete / v.14, no.6, 2014 , pp. 695-710 More about this Journal
Abstract
This paper presents a theoretical and computational approach to solve inelastic structures subjected to overloads. Current practice in structural design is based on elastic analysis followed by limit strength design. Whereas this approach typically results in safe strength design, it does not always guarantee satisfactory performance at the service level because the internal stiffness distribution of the structure changes from the service to the ultimate strength state. A significant variation of relative stiffnesses between the two states may result in unwanted cracking at the service level with expensive repairs, while, under certain circumstances, early failure may occur due to unexpected internal moment reversals. To address these concerns, a new inelastic model is presented here that is based on the nonlinear material response and the interaction relation between axial forces and bending moments of a beam-column element. The model is simple, reasonably accurate, and computationally efficient. It is easy to implement in standard structural analysis codes, and avoids the complexities of expensive alternative analyses based on 2D and 3D finite-element computations using solid elements.
Keywords
reinforced concrete; elastoplastic; softening; nonlinear analysis; finite element method; interaction diagrams;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Bouchaboub, M., Samai M.L. (2013), "Nonlinear analysis of slender high-strength R/C columns under combined biaxial bending and axial compression", Eng. Struct., 48, 37-42.   DOI
2 Eurocode 2 (2004), Design of concrete structures - Part 1-1: General rules and rules for buildings, European Committee for Standardization, Brussels, Belgium.
3 Comite Euro-International du Beton (CEB) (1993), "CEB-FIP model code 1990", CEB Bulletin d' Information 213-214, Thomas Telford Service Ltd., London, England.
4 Cranston, W.B. (1965), Tests on Reinforced Concrete Frames 1: Pinned Portal Frames, Technical Report TRA/392, Cement and Concrete Association, London, England.
5 Eurocode 8 (2004), Design of structures for earthquake resistance - Part 1: General rules, seismic actions and rules for buildings, European Committee for Standardization, Brussels, Belgium.
6 Fantilli, A.P., Mihashi, H. and Vallini, P. (2007), "Crack profile in RC, R/FRCC and R/HPFRCC members in tension", Mater. Struct., 40, 1099-1114.   DOI
7 Gregori, J.N., Sosa, P.M., Prada, M.A.F. and Filippou, F.C. (2007), "A 3D numerical model for reinforced and prestressed concrete elements subjected to combined axial, bending, shear and torsion loading", Eng. Struct., 29(12), 3404-3419.   DOI   ScienceOn
8 Hognestad, E., Hanson, N.W. and McHenry, D. (1955), "Concrete stress distribution in ultimate strength design", J. Ame. Concrete Inst., Part 1, 27(4), 455-479.
9 Hu, H.T., Lin, F.M. and Jan, Y.Y. (2004), "Nonlinear finite element analysis of reinforced concrete beams strengthened by fiber-reinforced plastics", Compos. Struct., 63(3-4), 271-281.   DOI
10 Karabinis, A.I. and Kiousis, P.D. (2001), "Plasticity model for reinforced concrete elements subjected to overloads", ASCE J. Struct. Eng., 27(11), 1251-1256.
11 Kent, D.C. and Park, R. (1971), "Flexural members with confined concrete", J. Struct. Div., Proceeding of the American Society of Civil Engineers, 97(ST7), 1969-1990.
12 King, W.S., White, D.W. and Chen, W.F. (1992), "Second-order inelastic analysis methods for steel-frame design", ASCE J. Struct. Eng., 18(2), 408-428.
13 Liew, J.Y.R. (1992), "Advanced analysis for frame design", Ph.D. Dissertation, West Lafayette: Purdue University.
14 Nanakorn, P. (2004), "A two-dimensional beam-column finite element with embedded rotational discontinuities", Comput. Struct., 82, 753-762.   DOI   ScienceOn
15 Powell, G.H. and Chen, P.F.S. (1986), "3D Beam-Column element with generalized plastic hinges", J. Eng. Mech., 112(7), 627-641.   DOI   ScienceOn
16 Sharma, R.M. (1990), "Ductility analysis of confined columns", J. Struct. Eng., 116(11), 3148-3161.   DOI
17 Song, H.W., You, D.W., Byun, K.J. and Maekawa, K. (2002), "Finite element failure analysis of reinforced concrete T-girder bridges", Eng. Struct., 24(2), 151-162.   DOI
18 Spacone, E., Ciampi V. and Filippou, F.C. (1996), "Mixed Formulation of Nonlinear Beam Finite Element", Comput. Struct., 58(1), 71-83.   DOI   ScienceOn
19 White, D.W. (1993), "Plastic hinge methods for advanced analysis of steel frames", Journal of Construct. Steel Res., 24(2), 121-152.   DOI   ScienceOn
20 Stevens, N.J., Uzumeri, S.M., Collins, M.P. and Will, G.T. (1991), "Constitutive model for reinforced concrete finite element analysis", ACI Struct. J., 88(1), 49-59.
21 Yuksel, E. and Karadogan, F. (2009), "Simplified calculation approach of load deformation relationships of a beam-column element", G. U. J. Sci., 22(4), 341-350.
22 Koshikawa, T. (2013), "Modelling the postpeak stress-displacement relationship of concrete in uniaxial compression", VIII International Conference on Fracture Mechanics of Concrete and Concrete Structures, Van Mier, J.G.M, Ruiz, G. Andrade, C., Yu, R.C., and Zhang, X.X. (Eds), Toledo, Spain.
23 El-Metwally, S.E., El-Shahha, A.M., and Chen, W.F. (1990), "3-D nonlinear analysis of r/c slender columns", Comput. Struct., 37(5), 863-872.   DOI