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http://dx.doi.org/10.12989/eas.2015.9.3.503

Hardening slip model for reinforcing steel bars  

Braga, Franco (Department of Structural Engineering and Geotechnics, University of Rome "La Sapienza")
Caprili, Silvia (Department of Civil and Industrial Engineering, University of Pisa)
Gigliotti, Rosario (Department of Structural Engineering and Geotechnics, University of Rome "La Sapienza")
Salvatore, Walter (Department of Civil and Industrial Engineering, University of Pisa)
Publication Information
Earthquakes and Structures / v.9, no.3, 2015 , pp. 503-539 More about this Journal
Abstract
A new constitutive model for the representation of the seismic behaviour of steel bars including hardening phenomena is presented. The model takes into account relative slip between bars and concrete, necessary for the estimation of the structural behaviour of r.c. elements and of the level of strain induced by earthquakes on bars. The present work provides the analytical formulation of the post-yielding behaviour of reinforcements, resulting in a continuous axial stress-slip relationship to be implemented in engineering software. The efficacy of the model is proved through the application to a cantilever column, for whose bars the constitutive law is derived.
Keywords
relative slip; hardening effects; cyclic behavior; stress-slip relationship; reinforcing bars;
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1 Barry, M., Parrish, M. and Eberhard, M. (2004), PEER Structural Performance Database - User's manual Pacific Earthquake Engineering Research Center University of California, Berkeley.
2 Braconi, A., Braga, F., Caprili, S., Gigliotti, R. and Salvatore, W. (2012), "Ductility demand on steel reinforcing bars in concrete buildings", Proceedings of 11th International Conference on Computational Structures Technology, Dubrovnik, Croatia.
3 Braconi, A., Braga, F., Caprili, S., Gigliotti, R. and Salvatore, W. (2013), "Influence of low-cycle fatigue and corrosion phenomena on the ductile behaviour of steel reinforcing bars", 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos Island, Greece.
4 Braconi, A., Braga, F., Caprili, S., Gigliotti, R. and Salvatore, W. (2014), "Seismic demand on steel reinforcing bars in reinforced concrete frame structures", Bull. Earthq. Eng., 12(6), 2633-2664.   DOI
5 Braga, F., Gigliotti, R. and Laterza, M. (2006), "Analytical stress-strain relationship for concrete confined by steel stirrups and/or FRP jackets", J. Struct. Eng., 132(9), 1402-1416.   DOI
6 Braga, F., Gigliotti, R., Laterza, M., D'Amato, M. and Kunnath, S. (2012), "Modified steel bar model incorporating bond-slip for seismic assessment of concrete structures", J. Struct. Eng., 138(11), 1342-1350.   DOI
7 Braga, F., Gigliotti, R., Laterza, M. and D'Amato, M. (2009), "Modellazione non lineare di strutture esistenti in c.a.: confronti con risultati sperimentali", ANIDIS 2009-XIII Convegno ANIDIS "L' ingegneria Sismica in Italia", Bologna, Italia.
8 Caprili, S. and Salvatore, W. (2015), "Cyclic behaviour of uncorroded and corroded steel reinforcing bars", Constr. Build. Mater., 76, 168-186.   DOI
9 CEB-FIP Model Code 1990 Design Code (1993), Comite Euro-International du Beton.
10 Ciampi, V., Eligenhausen, R., Popov, E.P. and Bertero, V.V. (1983), "Analytical model tor deformed bar bond under generalized excitations", Report EERC 82-23, Earthquake Engineering Research Center, University of California, Berkley.
11 D. M. Infrastrutture Trasporti 14 gennaio 2008 (2008), Norme Tecniche per le Costruzioni, Italy.
12 D'Amato, M. (2009), "Analytical models for non linear analysis of RC structures: confined concrete and bond-slip of longitudinal bars", Ph.D. Dissertation, University of Basilicata, Italy.
13 D'Amato, M., Braga, F., Gigliotti, R., Kunnath, S. and Laterza, M. (2012), "Validation of a modified steel bar model incorporating bond-slip for seismic assessment of concrete structures", J. Struct. Eng., 138(11), 1351-1360.   DOI
14 Dodd, L.L. and Restrepo-Posada, J.I. (1995), "Model for predicting cyclic behavior of reinforcing steel", J. Struct. Eng., 121(3), 433-445.   DOI
15 EN 1998-1 (2005), Eurocode 8 - Design of structures for earthquake resistance - Part 1: General rules, seismic actions and rules for buildings.
16 Fabbrocino, G., Verderame, G.M., Manfredi, G. and Cosenza, E. (2004), "Structural models of critical regions in old-type r.c. frames with smooth rebars", Eng. Struct., 26(14), 2137-2148.   DOI
17 Keuser, M. and Mehlhorn, G. (1987), "Finite element models for bond problems", J. Struct. Eng., 113(ST10), 2160-2173.   DOI
18 Gigliotti, R. (2002), "RC structures designed for gravity loads: experimental tests on beam-column joints", Ph.D. Dissertation, University of Salerno and University of Basilicata, Italy.
19 Gomes, A. and Appleton, J. (1997), "Nonlinear cyclic stress-strain relationship of reinforcing bars including buckling", Eng. Struct., 19(10), 822-826.   DOI   ScienceOn
20 Hakuto, S., Park, R. and Tanaka, H. (1999), "Effect of deterioration of bond of beam bars passing through interior beam-column joints on flexural strength and ductility", ACI Struct. J., 96(S94), 858-864.
21 Limkatanyu, S. and Spacone, E. (2008), "Non linear analysis of reinforced concrete frames including bondslip effects", 14th World Conference on Earthquake Engineering, October 12-17, 2008, Beijing, China.
22 Lowes, L. and Altoontash, A. (2003), "Modeling reinforced-concrete beam-column joints subjected to cyclic loading", J. Struct. Eng., 129(12), 1686- 1697.   DOI
23 Mander, J.B., Priestley, M.J.N. and Park, R. (1984), "Seismic design of bridge piers", Research Report No. 84-2, Department of Civil Engineering, University of Canterbury, New Zealand.
24 Mazzoni, S., McKenna, F., Scott, M.H. and Fenves, G.L. (2007), OpenSees Command Language Manual, University of California, Berkley, USA.
25 Menegotto, M. and Pinto, P. (1973), "Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending", Proceedings of Symposium Resistance and Ultimate Deformability of Structures Acted on by Well- Defined Repeated Loads, IABSE Reports, 13, 15-22.
26 Ngo, D. and Scordelis, A.C. (1969), "Finite element analysis of reinforced concrete beams", J. ACI, 64(3), 153-165.
27 Monti, G. and Nuti, C. (1992), "Nonlinear cyclic behaviour of reinforcing bars including buckling", J. Struct. Eng., 118(12), 3268-3284.   DOI
28 Monti, G., Filippou, F.C. and Spacone, E. (1997), "Finite element for anchored bars under cyclic load reversals", J. Struct. Eng., 123(5), 614-623.   DOI
29 Monti, G., Spacone, E. and Filippou, F.C. (1993), "Model for anchored reinforcing bars under seismic action", Report to the National Science Foundation, University of California, Berkley.
30 Panagiotakos, T.B. and Fardis, M.N. (2001), "Deformations of reinforced concrete members at yielding and ultimate", ACI Struct. J., 98(2), 135-148.
31 Paulay, T. and Priestley, M.N.J. (1992), Seismic Design of Reinforced Concrete and Masonry Buildings, John Wiley & Sons, Inc., New York.
32 Bertero, V.V. and Popov, E.P. (1977), "Seismic behavior of ductile moment-resisting reinforced concrete frames. Reinforced concrete structures in seismic zones", SP-53, American Concrete Institute, Detroit.
33 Rubiano-Benavides, N.R. (1998), "Predictions of the inelastic seismic response of concrete structures including shear deformations and anchorage slip", Ph.D. Dissertation, University of Texas, Austin, USA.
34 Saatcioglu, M. and Ozcebe, G. (1989), "Response of reinforced concrete columns to simulated seismic loading", ACI Struct. J., 86(1), 3-12.
35 Tanaka, H. and Park, R. (1990), "Effect of lateral confining reinforcement on the ductile behaviour of reinforced concrete columns", Report 90-2, Department of Civil Engineering, University of Canterbury.
36 Verderame, G.M., Fabbrocino, G., Manfredi, G. and Cosenza, E. (2001), "Analisi sperimentale dell'ancoraggio di barre lisce da cemento armato mediante beam-test", X Congresso Nazionale "L'ingegneria sismica in Italia", Potenza-Matera.
37 Teran-Gilmore, A. and Jirsa, O. (2007), "Energy demands for seismic design against low-cycle fatigue", Earthq. Eng. Struct., 36(3), 383-404.   DOI
38 Vecchio, F.J. and Collins, M.P. (1986), "The modified compression field theory for reinforced concrete elements subjected to shear", ACI Struct. J., 83(2), 219-231.