As a practical approach, the strut-tie model has been widely used, but not able to inform deformational responses of the structures. A lattice model is a good alternative as a nonlinear prediction since it can provide information on strength as well as deformation in concrete structures. In this study, a two-dimensional lattice-based model of RC columns is newly formulated in normal and high-strength concrete. Constitutive laws of concrete have been attempted by including the confinement effect of normal concrete and high-strength concrete. The effective width of concrete struts is determined by the principle of minimization of the strain energy based on the preanalysis. Cyclic analyses of reinforced normal and high-strength concrete columns are compared with several experiments. The results demonstrated that the strengths, deformations, and hysteretic behaviors were well matched with those of experiments, and the proposed model was useful in seismic assessment and performance-based design of RC structures.
AhmadS.I. and TanabeT.A. (2012). “Three dimensional FE analysis reinforced concrete structures using lattice equivalent continuum method”, Structural Concrete, Vol. 14, No. 1, pp. 51–59.
2.
ChoC.G.HaG.J. and KimY.Y. (2008). “Nonlinear model of reinforced concrete frames retrofitted by in-filled HPFRCC walls”, Structural Engineering and Mechanics, Vol. 30, No. 2, pp. 211–223.
3.
CloughR. and JohnstonS. (1966), “Effect of stiffness degradation on earthquake ductility requirements”, Transactions of Japan Earthquake Engineering Symposium, Tokyo, Japan.
4.
El-BehairyF.M. and TanabeT.A. (1997). “A new technique for reinforced concrete beam analysis using the Modified Lattice Model”, Proceeding of Japan Concrete Institute, Vol. 19, No. 2, pp. 477–482.
5.
GibersonM. (1967). “The response of nonlinear multi-story structures subjected to earthquake excitations”, Earthquake Engineering Research Laboratory, Pasadena, USA.
6.
KarsanI.D. and JirsaJ.O. (1969). “Behavior of concrete under compressive loadings”, Journal of Structural Division, ASCE, Vol. 95, No. ST12, pp. 2543–2563.
7.
KentD.C. and ParkR. (1971), “Flexural members with confined concrete”, Journal of Structure Engineering, ASCE, Vol. 97, No. ST7, pp. 1969–1990.
8.
LilliuG. and Van MierJ.G.M. (2003). “3D lattice type fracture model for concrete”, Engineering Fracture Mechanics, Vol. 70, No. 7/8, pp. 927–942.
9.
ManderJ.B.PriestleyM.J.N. and ParkR. (1988). “Theoretical stress–strain model for confined concrete”, Journal of Structural Engineering, ASCE, Vol. 114, No. 8, pp. 1804–26.
10.
MenegottoM. and PintoP. (1973). “Method of analysis for cyclically loaded reinforced concrete plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending”, Symposium on Resistance and Ultimate Deformability of Structures Acted on by Well Defined Repeated Loads, Lisbon, Portugal, pp. 15–22.
11.
MeyerC.RoufaielM.S. and ArzoumanidisS.G. (1983). “Analysis of damaged concrete frames for cyclic loads”, Earthquake Engineering and Structural Dynamics, Vol. 11, pp. 207–28
12.
YassinMohd M.H. (1994). Nonlinear Analysis of Prestressed Concrete Structures under Monotonic and Cyclic Loads, PhD Thesis, Department of Civil Engineering, UC, Berkeley, USA.
13.
OtaniS. (1974). “Inelastic analysis of R/C frame structures”, Journal of Structural Engineering, ASCE, Vol. 100, No. ST7, pp. 1433–49.
14.
SaatciogluM. and OzcebeG. (1989). “Response of reinforced concrete columns to simulated seismic loading, American concrete institute”, ACI Structural Journal, Vol. 86, No. 1, pp. 3–12.
15.
SchlaichJ.SchaeferK. and JenneweinM. (1987). “Towards a consistent design of structural concrete”, Journal of the Prestressed Concrete Institute, Vol. 32, pp. 74–150.
16.
SchlangenE. and van MierJ.G.M. (1992). “Shear fracture in cementitious composites, Part II: Numerical simulations”, Fracture Mechanics of Concrete Structures, London, UK, pp. 671–676.
17.
SheikhS.A. and UzumeriS.M. (1982). “Analytical model for concrete confinement in tied columns”, Journal of Structural Division, ASCE, Vol. 108, No. ST12, pp. 2703–2722.
18.
SpaconeE.FilippouF.C. and TaucerF.F. (1996). “Fibre beam-column model for nonlinear analysis of R/C frames: Part I. formulation”, Earthquake Engineering and Structural Dynamics, Vol. 25, pp. 711–25.
19.
TanabeT.A. and IshtiaqA.S. (2001). “Development of lattice equivalent continuum model for analysis of cyclic behavior of reinforced concrete”, ASCE special publication on Modeling of Inelastic Behavior of RC structures under Seismic Loads, pp. 297–314.
20.
TomohiroM. (2004). Nonlinear Analysis of Reinforced Concrete Structures Subjected to Seismic Loads by Using Three-dimensional Lattice Model, PhD Thesis, Department of Civil Engineering, Tokyo Institute of Technology, Tokyo, Japan.
21.
TjhinT.N. and KuchmaD.A. (2002). “Computer-based tools for design by strut-and-tie method: Advances and challenges”, ACI Structural Journal, Vol. 99, No. 5, pp. 586–594.
22.
van MierJ.G.M.VervuurtA. and SchlangenE. (1994). “Boundary and size effects in uniaxial tensile tests: A numerical and experimental study”, Fracture and Damage in Quasibrittle Structures, London, UK, pp. 289–302.
23.
VecchioF.J. and CollinsM.P. (1986). “The modified compression-field theory for reinforced concrete elements subjected to shear”, ACI Journal, Vol. 83, No. 3, pp. 219–231.
24.
XiaoY. and MartirossyanA. (1998). “Seismic performance of high-strength concrete columns”, Journal of Structural Engineering, ASCE, Vol. 124, No. 3, pp. 241–251.
