Advanced SearchSearch Tips
Nonlinear analysis of the RC structure by higher-order element with the refined plastic hinge
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Computers and Concrete
  • Volume 17, Issue 5,  2016, pp.579-596
  • Publisher : Techno-Press
  • DOI : 10.12989/cac.2016.17.5.579
 Title & Authors
Nonlinear analysis of the RC structure by higher-order element with the refined plastic hinge
IU, C.K.;
This paper describes a method of the refined plastic hinge approach in the framework of the higher-order element formulation that can efficaciously evaluate the limit state capacity of a whole reinforced concrete structural system using least number of element(s), whereas the traditional design of a reinforced concrete structure (i.e. AS3600; Eurocode 2) is member-based approach. Hence, in regard to the material nonlinearities, the efficient and economical cross-section analysis is provided to evaluate the element section capacity of non-uniform and arbitrary concrete section subjected to the interaction effects, which is helpful to formulate the refined plastic hinge method. In regard to the geometric nonlinearities, this paper relies on the higher-order element formulation with element load effect. Eventually, the load redistribution can be considered and make full use of the strength reserved owing to the redundancy of an indeterminate structure. And it is particularly true for the performance-based design of a structure under the extreme loads, while the uncertainty of the extreme load is great that the true behaviour of a whole structural system is important for the economical design approach, which is great superiority over the conservative optimal strength of an individual and isolated member based on traditional design (i.e. AS3600; Eurocode 2).
refined plastic hinge method;second-order inelastic analysis;one element per member;higher-order element formulation;concrete structures;element load method;
 Cited by
Using XFEM to model the effect of different axial compression on the hysteretic behaviour of the flexure-dominant RC columns, The Structural Design of Tall and Special Buildings, 2018, e1465  crossref(new windwow)
Second-order flexibility-based model for nonlinear inelastic analysis of 3D semi-rigid steel frameworks, Engineering Structures, 2017, 136, 547  crossref(new windwow)
AS3600 (2009), Australian Standard: Concrete Structure.

Bergan, P.G. and Holand, I. (1979), "Nonlinear finite element analysis of concrete structures", Comput. Method. Appl. M., 17, 443-467.

Branson, D.E. and Metz, G.A. (1963), "Instantaneous and time-dependent deflections of simple and continuous reinforced concrete beams", Auburn: Department of Civil Engineering and Auburn Research Foundation, Auburn University.

Bratina, S., Saje, M. and Planinc, I. (2004), "On materially and geometrically non-linear analysis of reinforced concrete planar frames", Int. J. Solid. Struct., 41(24), 7181-7207. crossref(new window)

Chan, S.L. and Zhou, Z.H. (1994), "Pointwise equilibrating polynomial element for nonlinear analysis of frames", J. Struct. Eng., 120(6), 1703-1717. crossref(new window)

Chen, S.F., Teng, J.G. and Chan, S.L. (2001), "Design of biaxially loaded short composite columns of arbitrary section", J. Struct. Eng., 127(6), 678-685. crossref(new window)

Chiorean, C.G. (2010), "Computerised interaction diagrams and moment capacity contours for composite steel-concrete cross-sections", Eng. Struct., 32(11), 3734-3757. crossref(new window)

Cope, R.J. and Rao, P.V. (1977), "Nonlinear finite element analysis of concrete slab structures", Proceedings of Institution of Civil Engineers, 63, 159-179. crossref(new window)

Cranston, W.B. (1965), "Tests on reinforced frames. I: Pinned portal frames", Technical Report, Cement and Association, London.

De Normalisation, C.E. (2004), "Design of concrete structures-Part 1-1: General rules and rules for buildings", Eurocode 2, EN 1992-1-1: 2004: E.

Espion, B. (1993), "Benchmark examples for creep and shrinkage analysis computer programs", Creep and Shrinkage of concrete, TC114 RILEM. E&FN Spon.

Iu, C.K. (2008), "Inelastic finite element analysis of composite beams on the basis of the plastic hinge approach", Eng. Struct., 30(10), 2912-2922. crossref(new window)

Iu, C.K. (2015), "Generalised element load method for first-and second-order element solutions with element load effect", Eng. Struct., 92, 101-111. crossref(new window)

Iu, C.K. and Bradford, M.A. (2012), "Higher-order non-linear analysis of steel structures. Part I: elastic second-order formulation", Adv. Steel Constr., 8(2), 168-182.

Iu, C.K. and Bradford, M.A. (2012), "Higher-order non-linear analysis of steel structures. Part II: refined plastic hinge formulation", Adv. Steel Constr., 8(2), 183-198.

Iu, C.K. and Bradford, M.A. (2015), "Novel non-linear elastic structural analysis with generalised transverse element loads using a refined finite element", Adv. Steel Constr., 11(2), 223-249.

Iu, C.K. and Chan, S.L. (2004), "A simulation-based large deflection and inelastic analysis of steel frames under fire", J. Constr. Steel Res., 60, 1495-1524. crossref(new window)

Iu, C.K., Bradford, M.A. and Chen, W.F. (2009), "Second-order inelastic analysis of composite framed structures based on the refined plastic hinge method", Eng. Struct., 31(3), 799-813. crossref(new window)

Izzuddin, B.A. and Lloyd Smith, D. (2000), "Efficient nonlinear analysis of elasto-plastic 3D R/C frames using adaptive techniques", Comput. Struct., 78(4), 549-573. crossref(new window)

Izzuddin, B.A., Karayannis, C.G. and Elnashai, A.S. (1994), "Advanced nonlinear formulation for reinforced concrete beam-column", J. Struct. Eng., 120(10), 2913-2934. crossref(new window)

Liu, S.W., Liu, Y.P. and Chan, S.L. (2012a), "Advanced analysis of hybrid steel and concrete frames. Part 1: Cross-section analysis technique and second-order analysis", J. Constr. Steel Res., 70, 326-336. crossref(new window)

Liu, S.W., Liu, Y.P. and Chan, S.L. (2012b), "Advanced analysis of hybrid steel and concrete frames: part 2: refined plastic hinge and advanced analysis", J. Constr. Steel Res., 70, 337-349. crossref(new window)

Ma, S.Y.A. and May, I.M. (1986), "The Newton-Raphson method used in the non-linear analysis of concrete structures", Comput. Struct., 24(2), 177-185. crossref(new window)

Sun, C.H., Bradford, M.A. and Gilbert, R.I. (1994), "A reliable numerical method for simulating the postfailure behaviour of concrete frame structures", Comput. Struct., 53(3), 579-589. crossref(new window)

Trifunovic, M. and Iu, C.K. (2014), "Nonlinear geometric and material computational technique: Higherorder element with refined plastic hinge approach", International Conference on Steel, Space and Composite Structures, Prague, Czech Republic, 12, 387-396.

Zienkiewicz, O.C. and Taylor, R.L. (1991), The Finite Element Method, 4th edition, McGraw-Hill.