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Assessment of a force–displacement based multiple-vertical-line element to simulate the non-linear axial–shear–flexure interaction behaviour of reinforced concrete walls

  • S.I.: Nonlinear Modelling of Reinforced Concrete Structural Walls
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Abstract

A comprehensive assessment of a new version of the macroscopic force–displacement based multiple-vertical-line element (SFI-MVLEM-FD), which can be used to simulate non-linear axial–shear–flexure interaction in RC walls, is presented. The element models the shear response taking into account all the basic physical mechanisms that transfer shear forces over cracks: (a) the dowel effect of vertical bars, (b) the axial resistance of horizontal/shear bars, and (c) the interlocking of aggregate particles in cracks. In order to provide a wide range of its use, and to enable the analysis of various types of buildings, the SFI-MVLEM-FD element was included in the local version of the OpenSees program system. The element was assessed with respect to already performed quasi-static cyclic experiments of various RC shear walls. In this paper, the results of numerical analyses of two representative rectangular walls, where the influence of shear on the overall response was of particularly significance, are presented and compared with those obtained in the experiments. In order to estimate the efficiency of the new element in more general cases, it was also assessed by means of a large-scale shake-table test of a typical non-planar lightly reinforced RC coupled wall. The test examples showed that the SFI-MVLEM-FD model can capture all the important mechanisms of the response, as well as being able to efficiently describe the axial–shear–flexure interaction in various types of RC walls: (a) rectangular and non-planar, (b) cantilever and coupled, and (c) subjected to different types of excitation, uni-axial or bi-axial. It was found that the model is capable of clearly identifying the three fundamental mechanisms, which contribute to shear resistance. This is one of the few models, which are able to describe the significant deterioration of the (shear) strength of RC walls that are near to collapse for different reasons: e.g. the buckling of their longitudinal bars, rupture of the horizontal reinforcement, and other significant degradation of different types of shear mechanism. This makes it suitable for the analysis of different types of RC walls, which are subjected to different levels of seismic excitations. It is even able to simulate the near collapse response influenced by very different collapse mechanisms.

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References

  • Boroschek R, Bonelli P, Restrepo JI, Retamales R, Contreras V (2014) Lessons from the 2010 Chile earthquake for performance based design and code development. In: Performance-based seismic engineering: vision for an earthquake resilient society, vol 32. Springer, Dordrecht, pp 143–157. ISSN 1573-6059

    Chapter  Google Scholar 

  • Collins MP, Mitchell D (1991) Prestressed Concrete Structures. Prentice Hall, Engelwood Cliffs

    Google Scholar 

  • Elwood KJ, Moehle JP (2003) Shake table tests and analytical studies on the gravity load collapse of reinforced concrete frames. PEER report 2003/01. University of California, College of Engineering, PEER Center, Berkeley

  • Elwood KJ, Pampanin S, Kam WY, Priestley N (2014) Performance-based issues from the 22 February 2011 christchurch earthquake. In: Performance-based seismic engineering: vision for an earthquake resilient society, vol 32, pp 159–175. ISSN 1573-6059

    Chapter  Google Scholar 

  • Filippou FC, Popov EP, Bertero VV (1983). Effects of bond deterioration on hysteretic behavior of reinforced concrete joints. Report EERC 83-19, Earthquake Engineering Research Center, University of California, Berkeley

  • Fischinger M, Vidic T, Selih J, Fajfar P, Zhang HY, Damjanic FB (1990) Validation of a macroscopic model for cyclic response prediction of RC walls. In: Bićanić N, Mang H (eds) Computer aided analysis and design of concrete structures. Pineridge Press, Swansea, pp 1131–1142

    Google Scholar 

  • Fischinger M, Isaković T, Kante P (2004) Implementation of a macro model to predict seismic response of RC structural walls. Comput Concr 1(2):211–226. https://doi.org/10.12989/cac.2004.1.2.211

    Article  Google Scholar 

  • Fischinger M, Kante P, Isaković T (2017) Shake-table response of a coupled RC wall with thin T-shaped piers. ASCE J Struct Eng 143(5):1–16

    Article  Google Scholar 

  • Kabeyasawa T, Shiohara H, Otani S (1984) US–Japan cooperative research on R-C full-scale building test, part 5: discussion on dynamic response system. In: Proceedings of the 8th world conference on earthquake engineering, vol 6, pp 627–634

  • Kolozvari K, Orakcal K, Wallace JW (2015a) Modeling of cyclic shear–flexure interaction in reinforced concrete structural walls—part I: theory. ASCE J Struct Eng 141(5):04014135. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001059

    Article  Google Scholar 

  • Kolozvari K, Orakcal K, Wallace JW (2015b) Modeling of cyclic shear–flexure interaction in reinforced concrete structural walls—part II: experimental validation. ASCE J Struct Eng 141(5):04014136. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001083

    Article  Google Scholar 

  • Kolozvari K, Arteta CA, Fischinger M, Gavridou S, Hube M, Isakovic T, Lowes L, Orakcal K, Vasquez GJ, Wallace JW (2018) Comparative study of state-of-the-art macroscopic models for planar reinforced concrete walls. ACI Struct J 115(6):1637–1657

    Article  Google Scholar 

  • Kowalsky M, Priestley MJN (2000) Improved analytical model for shear strength of circular reinforced concrete columns in seismic regions. ACI Struct J 97(3):388–396

    Google Scholar 

  • Lu Y, Panagiotou M, Koutromanos I (2016) Three-dimensional beam–truss model for reinforced concrete walls and slabs—part 1: modeling approach, validation, and parametric study for individual reinforced concrete walls. Earthq Engng Struct Dyn. https://doi.org/10.1002/eqe.2719

    Article  Google Scholar 

  • Mander JB, Priestley MJN, Park R (1988) Theoretical stress–strain model for confined concrete. ASCE J Struct Eng 114(8):1804–1826

    Article  Google Scholar 

  • Massone LM (2013) Fundamental principles of the reinforced concrete design code changes in Chile following the Mw 8.8 earthquake in 2010. Eng Struct 56:1335–1345

    Article  Google Scholar 

  • McKenna F (2019) OpenseesWiki. http://opensees.berkeley.edu/wiki/index.php/Main_Page. Accessed on Jan 2019

  • Nagae T, Wallace JW (2011) Design and instrumentation of the 2010 E-defense four-story reinforced concrete and post-tensioned concrete buildings. PEER report, PEER-2011/104. UC Berkeley

  • Neuenhofer A, Filippou FC (1998) Geometrically nonlinear flexibility-based frame finite element. ASCE J Struct Eng 124(6):704–711

    Article  Google Scholar 

  • Panagiotou M, Restrepo JI, Conte JP (2011) Shake-table test of a full-scale 7-story building slice—phase I: rectangular wall. ASCE J Struct Eng 137(6):691–704

    Article  Google Scholar 

  • Panagiotou M, Restrepo J, Schoettler M, Kim G (2012) Nonlinear cyclic truss model for reinforced concrete walls. ACI Struct J 109(2):205–214

    Google Scholar 

  • Rejec K (2011) Inelastic shear behaviour of RC structural walls under seismic conditions. PhD dissertation. University of Ljubljana, Slovenia, 347 p

  • Tran TA (2012) Experimental and analytical studies of moderate-aspect-ratio reinforced concrete structural walls. PhD thesis. University of California, Los Angeles

  • Tran TA, Wallace JW (2012) Experimental study of nonlinear flexural and shear deformations of reinforced concrete structural walls. 15WCEE, Lisbon

  • Tuna Z, Gavridou S, Wallace JW, Nagae T, Matsumori T (2014) 2010 E-defense four-story reinforced concrete and post-tensioned concrete buildings—comparative study of experimental and analytical results. In: 10th US national conference on earthquake engineering frontiers of earthquake engineering, Anchorage

  • Vallenas JM, Bertero VV, Popov EP (1979) Hysteretic behavior of reinforced concrete structural walls. Report no. UCB/EERC-79/29, EERI, College of Engineering, UC Berkeley, Berkeley

  • Vecchio FJ (2000) Disturbed stress field model for reinforced concrete: formulation. ASCE J Struct Eng 126(9):1070–1077

    Article  Google Scholar 

  • Vintzeleou EN, Tassios TP (1986) Mathematical models for dowel action under monotonic and cyclic conditions. Mag Concr Res 38(134):13–22

    Article  Google Scholar 

  • Wallace JW (2016) NSF SAVI wall institute. http://apedneault4.wixsite.com/wall-institute. Last accessed Jan 2019

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Acknowledgements

The assessed element was developed by Klemen Rejec, extending the UL FGG version of MVLEM. The research was funded by Slovenian National Research Agency.

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Correspondence to T. Isaković.

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Isaković, T., Fischinger, M. Assessment of a force–displacement based multiple-vertical-line element to simulate the non-linear axial–shear–flexure interaction behaviour of reinforced concrete walls. Bull Earthquake Eng 17, 6369–6389 (2019). https://doi.org/10.1007/s10518-019-00680-7

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  • DOI: https://doi.org/10.1007/s10518-019-00680-7

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