Browse > Article
http://dx.doi.org/10.12989/scs.2018.29.2.175

A force-based element for direct analysis using stress-resultant plasticity model  

Du, Zuo-Lei (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University)
Liu, Yao-Peng (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University)
Chan, Siu-Lai (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University)
Publication Information
Steel and Composite Structures / v.29, no.2, 2018 , pp. 175-186 More about this Journal
Abstract
The plastic hinge method and the plastic zone method are extensively adopted in displacement-based elements and force-based elements respectively for second-order inelastic analysis. The former enhances the computational efficiency with relatively less accurate results while the latter precisely predicts the structural behavior but generally requires more computer time. The displacement-based elements receive criticism mainly on plasticity dominated problems not only in accuracy but also in longer computer time to redistribute the forces due to formation of plastic hinges. The multi-element-per-member model relieves this problem to some extent but will induce a new problem in modeling of member initial imperfections required in design codes for direct analysis. On the contrary, a force-based element with several integration points is sufficient for material yielding. However, use of more integration points or elements associated with fiber section reduces computational efficiency. In this paper, a new force-based element equipped with stress-resultant plasticity model with minimal computational cost is proposed for second-order inelastic analysis. This element is able to take the member initial bowing into account such that one-element-per-member model is adequate and complied with the codified requirements of direct analysis. This innovative solution is new and practical for routine design. Finally, several examples demonstrate the validity and accuracy of the proposed method.
Keywords
second-order inelastic analysis; force-based; steel structures; initial imperfection; stress-resultant plasticity model;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 AISC360 (2016), Specification for Structural Steel Buildings; AISC, Inc., One East Wacker Driver, Suite 700, Chicago, IL, USA, 60601-1802.
2 AS4100 (2000), AS4100-1998: Steel Structures; Standard Australia, Sydney.
3 Auricchio, F. and Taylor, R.L. (1994), "A generalized elastoplastic plate theory and its algorithmic implementation", International J. Numer. Method. Eng., 37(15), 2583-2608.   DOI
4 Auricchio, F. and Taylor, R.L. (1995), "Two material models for cyclic plasticity: nonlinear kinematic hardening and generalized plasticity", Int. J. Plastic., 11(1), 65-98.   DOI
5 Biglari, A., Harrison, P. and Bicanic, N. (2014), "Quasi-hinge beam element implemented within the hybrid force-based method", Comput. Struct., 137, 31-46.   DOI
6 Chan, S.L. and Zhou, Z.H. (1994), "Pointwise equilibrating polynomial element for nonlinear analysis of frames", J. Struct. Eng., 120(6), 1703-1717.   DOI
7 Chan, S.L. and Zhou, Z.H. (1995), "Second-order elastic analysis of frames using single imperfect element per member", J. Struct. Eng.-ASCE, 121(6), 939-945.   DOI
8 Chiorean, C.G. (2017), "Second-order flexibility-based model for nonlinear inelastic analysis of 3D semi-rigid steel frameworks", Eng. Struct., 136, 547-579.   DOI
9 Dai, X. and Lam, D. (2014), "A numerical study on the effect of concrete infill and intumescent coating to fire-resistant behaviour of stub elliptical steel hollow sections under axial compression", Adv. Steel Constr., 10(3), 310-324.
10 Ding, F.X., Ding, X.Z., Liu, X.M., Wang, H.B., Yu, Z.W. and Fang, C.J. (2017), "Mechanical behavior of elliptical concretefilled steel tubular stub columns under axial loading", Steel Compos. Struct., Int. J., 25(3), 375-388.
11 Du, Z.L., Liu, Y.P. and Chan, S.L. (2017), "A second-order flexibility-based beam-column element with member imperfection", Eng. Struct., 143, 410-426.   DOI
12 Keykha, A.H. (2017), "CFRP strengthening of steel columns subjected to eccentric compression loading", Steel Compos. Struct., Int. J., 23(1), 87-94.   DOI
13 Eurocode 3 (2005), EN 1993-1-1: Design of steel structures -General rules and rules for buildings; European Committee for Standardization.
14 Farahi, M. and Erfani, S. (2017), "Employing a fiber-based finitelength plastic hinge model for representing the cyclic and seismic behaviour of hollow steel columns", Steel Compos. Struct., Int. J., 23(5), 501-516.   DOI
15 Hu, F., Shi, G. and Shi, Y. (2017), "Experimental study on seismic behavior of high strength steel frames: Global response", Eng. Struct., 131, 163-179.   DOI
16 Khaloo, A., Nozhati, S., Masoomi, H. and Faghihmaleki, H. (2016), "Influence of earthquake record truncation on fragility curves of RC frames with different damage indices", J. Build. Eng., 7, 23-30.   DOI
17 Liew, J.R., White, D.W. and Chen, W.F. (1993b), "Second-order refined plastic-hinge analysis for frame design. Part II", J. Struct. Eng., 119(11), 3217-3236.   DOI
18 Kostic, S.M., Filippou, F.C. and Lee, C.-L. (2013), "In efficient beam-column element for inelastic 3D frame analysis" In: Computational Methods in Earthquake Engineering, Springer, pp. 49-67.
19 Kostic, S.M., Filippou, F.C. and Deretic-Stojanovic, B. (2016), "Generalized plasticity model for inelastic RCFT column response", Comput. Struct., 168, 56-67.   DOI
20 Liew, J.R., White, D.W. and Chen, W.F. (1993a), "Second-order refined plastic-hinge analysis for frame design. Part I", Journal of Structural Engineering, 119(11), 3196-3216.   DOI
21 Liu, Y.P. and Chan, S.L. (2011), "Second-Order and Advanced Analysis of Structures Allowing for Load and Construction Sequences", Adv. Struct. Eng., 14(4), 635-646.   DOI
22 NIDA (2017), User's Manual, Nonlinear Integrated Design and Analysis; NIDA 9.0 HTML Online Documentation. http://www.nidacse.com/manuals/nida9.pdf
23 Liu, S.W., Liu, Y.P. and Chan, S.L. (2014), "Direct analysis by an arbitrarily-located-plastic-hinge element - Part 1: Planar analysis", J. Constr. Steel Res., 103, 303-315.   DOI
24 Liu, S.W., Bai, R., Chan, S.L. and Liu, Y.P. (2016), "Second-order direct analysis of domelike structures consisting of tapered members with I-sections", J. Struct. Eng., 142(5), 04016009.   DOI
25 Lubliner, J., Taylor, R.L. and Auricchio, F. (1993), "A new model of generalized plasticity and its numerical implementation", Int. J. Solids Struct., 30(22), 3171-3184.   DOI
26 Nguyen, P.C. and Kim, S.E. (2016), "Advanced analysis for planar steel frames with semi-rigid connections using plastic-zone method", Steel Compos. Struct., Int. J., 21(5), 1121-1144.   DOI
27 Ray, T., Schachter-Adaros, M. and Reinhorn, A.M. (2015), "Flexibility-Corotational Formulation of Space Frames with Large Elastic Deformations and Buckling", Comput.-Aided Civil Infrastruct. Eng., 30(1), 54-67.   DOI
28 Orbison, J.G., McGuire, W. and Abel, J.F. (1982), "Yield surface applications in nonlinear steel frame analysis", Comput. Method. Appl. Mech. Eng., 33(1-3), 557-573.   DOI
29 Parghi, A. and Alam, M.S. (2017), "Seismic collapse assessment of non-seismically designed circular RC bridge piers retrofitted with FRP composites", Compos. Struct., 160, 901-916.   DOI
30 Rasmussen, K.J., Zhang, X. and Zhang, H. (2016), "Beamelement-based analysis of locally and/or distortionally buckled members: Theory", Thin-Wall. Struct., 98, 285-292.   DOI
31 Saritas, A. and Koseoglu, A. (2015), "Distributed inelasticity planar frame element with localized semi-rigid connections for nonlinear analysis of steel structures", Int. J. Mech. Sci., 96, 216-231.
32 Yan, B., Liu, J. and Zhou, X. (2017), "Axial load behavior and stability strength of circular tubed steel reinforced concrete (SRC) columns", Steel Compos. Struct., Int. J., 25(5), 545-556.
33 Thai, H.T., Uy, B., Kang, W.H. and Hicks, S. (2016), "System reliability evaluation of steel frames with semi-rigid connections", J. Constr. Steel Res., 121, 29-39.   DOI
34 Tirca, L., Chen, L. and Tremblay, R. (2015), "Assessing collapse safety of CBF buildings subjected to crustal and subduction earthquakes", J. Constr. Steel Res., 115, 47-61.   DOI
35 Vogel, U. (1985), "Calibrating Frames", Stahlbau, 54, 295-311.
36 Zubydan, A.H., ElSabbagh, A.I., Sharaf, T. and Farag, A.E. (2018), "Inelastic large deflection analysis of space steel frames using an equivalent accumulated element", Eng. Struct., 162, 121-134.   DOI
37 Yu, Y. and Zhu, X. (2016), "Nonlinear dynamic collapse analysis of semi-rigid steel frames based on the finite particle method", Eng. Struct., 118, 383-393.   DOI