Validation of Fiber-Based Distributed Plasticity Approach for Steel Bracing Models

Alper Kanyilmaz


Nonlinear analysis approach is not anymore limited only to research purposes, but becoming more popular as a tool that can be used during design, thanks to the increased efficiency of computer software and hardware. An accurately calibrated numerical model may simulate the behaviour of buildings in a quite realistic way, which helps designers understand better the performance of their structures. However, the feasibility of the nonlinear analysis approach is limited by the complexity of the numerical model, and the aim of any researcher or engineer is to obtain the most useful information in a reasonable amount of time. This study focuses on the validation of a simplified numerical modelling approach to simulate the nonlinear behaviour of steel bracings. The paper presents a comparison between two different modelling approaches; a refined finite element model using volumetric elements, and fiber-based model using beam elements with distributed plasticity. The numerical models calibrated with the experimental result from existing literature, reproduce the behaviour of cold formed square, and hot rolled open section steel elements under inelastic cyclic loading. The hysteresis loops obtained from two models show that the accuracy obtained by simpler fiber-element formulation is quite close to the more refined volumetric model. Finally, in order to assess the accuracy of the fiber-based modelling approach to estimate the nonlinear cyclic response of full-scale braced frame configurations, two real scale frames are analysed, and the results are compared with the results of the experiments performed on the test frames. In terms of computation time and accuracy, distributed plasticity model is much more efficient, and can be a good option to perform nonlinear analysis of multi-level buildings, which would be quite cumbersome with volumetric modelling approach. This study has been realized thanks to the research fund received from European commission with the contract MEAKADO RFSR-CT-2013-00022.


Distributed plasticity, inelastic cyclic modeling, fiber based beam elements


S. Salawdeh, Seismic Design of Concentrically Braced Steel Frames. PhD thesis, National University of Ireland, Galway (NUI Galway), (2012)

Sze, K. Y. "Three‐dimensional continuum finite element models for plate/shell analysis." Progress in Structural Engineering and Materials 4, no. 4 (2002): 400-407.

Ramin, Keyvan, and Mitra Fereidoonfar. "Finite Element Modeling and Nonlinear Analysis for Seismic Assessment of Off-Diagonal Steel Braced RC Frame." International Journal of Concrete Structures and Materials 9, no. 1 (2015): 89-118.

Shaback. B. “HSS brace behaviour under cyclic loading.” M.S. Thesis, Department of Civil Engineering, University of Calgary, Calgary, Alberta, (2001): 49-100.

Astaneh-Asl, Abolhassan, Subhash C. Goel, and Robert D. Hanson. "Cyclic out-of-plane buckling of double-angle bracing." Journal of structural Engineering 111, no. 5 (1985): 1135-1153.

Sabelli, Rafael. Research on improving the design and analysis of earthquake-resistant steel-braced frames. EERI, 2001.

Avery, Philip, and Mahen Mahendran. "Distributed plasticity analysis of steel frame structures comprising non-compact sections." Engineering Structures 22, no. 8 (2000): 901-919.

Uriz, P., and S. A. Mahin. "Toward earthquake-resistant design of concentrically braced steel-frame structures. PEER rep no. 2008/08. Pacific Earthquake Engineering Research Center, College of Engineering." Univ. of California, Berkeley (2008).

Nguyen, Phu-Cuong, and Seung-Eock Kim. "Distributed plasticity approach for time-history analysis of steel frames including nonlinear connections." Journal of Constructional Steel Research 100 (2014): 36-49.

A. Kanyilmaz, C.A. Castiglioni, Performance of Multi-level moment resisting composite frames with dissipative devices, COMPDYN 2015, 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Crete Island, Greece, (2015).

A. Kanyilmaz, C.A. Castiglioni, H. Degèe, P.O. Martin, A Preliminary assessment of slenderness and overstrength homogeneity criteria used in the design of concentrically braced steel frames in moderate seismicity, COMPDYN 2015, 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Crete Island, Greece, (2015).

L. Chen, L. Tirca, Simulating the Seismic Response of Concentrically Braced Frames Using Physical Theory Brace Models, Open Journal of Civil Engineering, (2013), 3, 69-81.

Pillai, U.S., 1974. Beam-columns of hollow structural sections. Canadian Journal of Civil Engineering, 1(2), pp.194-198.

Wijesundara, K. K., R. Nascimbene, and G. A. Rassati. "Modeling of different bracing configurations in multi-storey concentrically braced frames using a fiber-beam based approach." Journal of Constructional Steel Research 101 (2014): 426-436.

G+D Computing Pty Limited, Straus7. Theoretical Manual. Sydney (Australia), 2004

Goggins, J. M., Brian Michael Broderick, A. Y. Elghazouli, and A. S. Lucas. "Behaviour of tubular steel members under cyclic axial loading." Journal of Constructional Steel Research 62, no. 1 (2006): 121-131.

ECCS (1986), Technical Committee 1. Structural Safety and Loadings -Technical Working Group 1.3. Seismic design recommended testing procedure for assessing the behaviour of structural steel elements under cyclic loads, 1st ed. Brussels

ABAQUS. Analysis User's Manual. Version 6.12 ABAQUS, Inc., Dassault.

Bate and Wilson, Analysis of the Bauschinger effect, Acta Met., 34 (6) (1986), pp. 1097–1105

EN 1998-1-1 Design of structures for earthquake resistance (2005)

Metelli, G., Bregoli, G. and Marchina, E., ‘Il comportamento isteretico di controventi concentrici realizzati con piatti’, Articolo tratto dagli Atti del XV Convegno ANDIS, (2013)

Lumpkin, Eric J. "Enhanced seismic performance of multi-story special concentrically brace frames using a balanced design procedure." PhD diss., University of Washington, 2009.

Lumpkin, Eric J., Po-Chien Hsiao, Charles W. Roeder, Dawn E. Lehman, Ching-Yi Tsai, An-Chien Wu, Chih-Yu Wei, and Keh-Chyuan Tsai. "Investigation of the seismic response of three-story special concentrically braced frames." Journal of Constructional Steel Research 77 (2012): 131-144.

H. Degee, C.A. Castiglioni, P.O. Martin, I. Calderon, B. Hoffmeister, Eight International Conference on Advances in Steel Structures, Lisbon, Portugal, (2015).

I. Calderón, A. Aramburu, MEAKADO project: Design of steel and composite structures with limited ductility requirements for optimized performances in moderate earthquake areas, Steel Earth workshop, Steel based applications in earthquake prone areas, 28.10.2015

H. Degee, Dimensionnement des structures métalliques et mixtes en vue d'une optimisation de leur performance en zones de sismicité faible à modérée – le projet Européen Meakado, AFPS2015 : 9ème Colloque National - Anticiper, limiter et gérer les effets des séismes dans les territoires

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DOI: 10.28991/cej-2015-00000005


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