Flexure-Shear Fiber Beam-Column Elements for Modeling Frame Structures Under Seismic Loading — State of the Art

References

• Armstrong , P. J. and Frederick , C. O. A mathematical representation of the multiaxial bauschinger effect . G.E.G.B. Report RD/B/N 731 . 1966 .
   Google Scholar
• Bairan , J. M. 2005 . “ A nonlinear coupled model for the analysis of reinforced concrete sections under bending, shear and torsion and axial forces ” . Barcelona, , Spain : PhD thesis, Technical University of Catalonia .
   Google Scholar
• Bairan , J. M. and Mari , A. R. 2006a . Coupled model for the non-linear analysis of anisotropic sections subjected to general 3D loading. Part 1: Theoretical formulation . Computers and Structures , 84 : 2254 – 2263 .
   Google Scholar
• Bairan , J. M. and Mari , A. R. 2006b . Coupled model for the non-linear analysis of anisotropic sections subjected to general 3D loading. Part 2: Implementation and validation . Computers and Structures , 84 : 2264 – 2276 .
   Google Scholar
• Bazant , Z. P. and Oh , B. H. 1985 . Microplane model for progressive fracture of concrete and rock . Journal of Engineering Mechanics, ASCE , 111 ( 4 ) : 559 – 582 .
   Web of Science ®Google Scholar
• Bazant , Z. P. and Prat , P. C. 1988 . Microplane model for brittle-plastic material. Parts I and II . Journal of Engineering Mechanics, ASCE , 114 ( 10 ) : 1672 – 1702 .
   Web of Science ®Google Scholar
• Bazant , Z. P. and Ozbolt , J. 1990 . Nonlocal microplane model for fracture, damage, and size effect in concrete structures . Journal of Engineering Mechanics, ASCE , 116 ( 11 ) : 2484 – 2504 .
   Google Scholar
• Bentz , E. C. 2000 . “ Sectional analysis of reinforced concrete members ” . Toronto, , Canada : PhD thesis, University of Toronto .
   Google Scholar
• Benzoni , G. , Ohtaki , T. and Priestley , M. J. N. 1996 . “ Seismic performance of full scale bridge column – as built and as repaired ” . San Diego, California : University of California . Internal Report
   Google Scholar
• Benzoni , G. , Priestley , M. J. N. and Seible , F. Seismic shear strength of columns with interlocking spiral reinforcement . Proceedings of the Twelfth World Conference on Earthquake Engineering . Auckland, , New Zealand
   Google Scholar
• Bousias , S. N. , Verzelletti , G. , Fardis , M. N. and Guiterrez , E. 1995 . Load-path effects in column biaxial bending and axial force . Journal of Engineering Mechanics, ASCE , 121 ( 5 ) : 596 – 605 .
   Web of Science ®Google Scholar
• CEA . 1990 . “ CASTEM 2000, Guide d'Utilisation ” . Saclay, , France : CEA .
   Google Scholar
• Cervenka , V. 1985 . Constitutive model for cracked reinforced concrete . ACI Journal , 82 ( 6 ) : 877 – 882 .
   Google Scholar
• Chambon , R. , Caillerie , D. and Matsushima , T. 2001 . Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies . International Journal of Solids and Structures , 38 : 8503 – 8527 .
   Web of Science ®Google Scholar
• Chan , E. C. 1982 . “ Nonlinear geometric, material and time-dependent analysis of reinforced concrete shells with edge beams ” . Berkeley : PhD Thesis, University of California .
   Google Scholar
• Cladera , A. 2002 . “ Shear design of reinforced high-strength concrete beams ” . Barcelona, , Spain : PhD Thesis, Technical University of Catalonia .
   Google Scholar
• Collins , M. P. and Lampert . 1982 . “Redistribution of moments at cracking – the key to simpler torsion design,” analysis of structural systems for torsion . ACI Pubblication , SP-35 : 343 – 383 .
   Google Scholar
• Collins , M. P. and Mitchell , D. 1991 . Prestressed Concrete Structures , 776 Englewood Cliffs : Prentice Hall .
   Google Scholar
• Crisfield , M. A. 1986 . Finite elements and solution procedures for structural analysis, Vol. 1: linear analysis , Swansea, , U. K. : Pineridge Press .
   Google Scholar
• Dazio , A. , Wenk , T. and Bachmann , H. 1999 . “ Versuche an Stahlbetontragwanden unter Zyklisch-statischer Einwirkung ” . In IBK Bericht , Vol. 239 , Basel, , Switzerland : ETH Zurich .
   Google Scholar
• De Sortis , A. and Nuti , C. Seismic response by pseudo-dynamic tests of RC bridges designed to EC8 . Proceedings of the Eleventh World Conference on Earthquake Engineering . Acapulco, , Mexico
   Google Scholar
• Elzanaty , A. H. , Nilson , A. H. and Slate , F. O. 1986 . Shear capacity of prestressed concrete beams using high-strength concrete . ACI Journal, Proceedings , 83 ( 3 ) : 359 – 368 .
   Google Scholar
• Felber , A. J. 1990 . “ RESPONSE: A program to determine the Load-Deformation Response of Reinforced Concrete Sections ” . Canada : MASc Thesis, Department of Civil Engineering, University of Toronto .
   Google Scholar
• Filippou , F. C. Nonlinear static and dynamic analysis for evaluation of structures . Proceedings of the Third European Conference on Structural Dynamics Eurodyn . Vol. 96 , pp. 395 – 402 . Florence, , Italy
   Google Scholar
• Filippou, F. C. and Spacone, E. [1996] “FEDEAS: Nonlinear Analysis for Structural Evaluation,” Proceedings of the Eleventh Word Conference on Earthquake Engineering, Mexico. FEDEAS is available from the URL: http://www.ce.berkeley.edu/∼filippou/Research/fedeas.htm (www.ce.berkeley.edu/~filippou/Research/fedeas.htm)
   Google Scholar
• Garstka , B. , Kratzig , W. B. and Stangenberg , F. 1993 . “ Damage Assessment in cyclically loaded reinforced concrete members ” . In Structural Dynamics , Edited by: Moan . Vol. 1 , 121 – 128 . Rotterdam : Balkema . EURODYN'93
   Google Scholar
• Guedes , J. , Pegon , P. and Pinto , A. V. 1994 . “ A Fibre/Timoshenko Beam Element in CASTEM 2000 ” . In Special Publication Nr. I.94.31 , Italy : Applied Mechanics Unit, Safety Technology Institute, Commission of the European Communities, Joint Research Centre, Ispra Establishment .
   Google Scholar
• Guedes , J. and Pinto , A. V. A numerical model for shear dominated bridge piers . Proceedings of the Second Italy-Japan Workshop on Seismic Design and Retrofit of Bridges . Rome, Italy.
   Google Scholar
• Haddadin , M. J. , Hong , S.-T. and Mattock , A. H. 1971 . Stirrup effectiveness in reinforced concrete beams with axial force . Proceedings, ASCE , 97 ( ST9 ) : 2277 – 2297 .
   Google Scholar
• Hughes , T. J. R. 2000 . The Finite Element Method. Linear Static and Dynamic Finite Element Analysis , Mineola, New York : Dover Publications, Inc. .
   Google Scholar
• Kani , M. 1977 . “ An experimental investigation of reinforced and prestressed beams in shear ” . Toronto, , Canada : MASc Thesis, University of Toronto .
   Google Scholar
• Kawano , H. and Watanabe , H. Shear strength of reinforced concrete columns- effect of specimen size and load reversal . Proceedings of the Second Italian-Japan Workshop on Seismic Design and Retrofit of Bridges . Queenstown, , New Zealand
   Google Scholar
• Kotronis , P. 2000 . “ Cisaillement dynamique de murs en béton armé. Modèles simplifiés 2D et 3D ” . PhD Thesis, Ecole Normale Supérieure de Cachan .
   Google Scholar
• Kotronis , P. and Mazars , J. 2005 . Simplified modelling strategies to simulate the dynamic behaviour of R/C walls . Journal of Earthquake Engineering , 9 ( 2 ) : 285 – 306 .
   Google Scholar
• Kotronis , P. , Chambon , R. , Mazars , J. and Collin , F. Local second gradient models and damage mechanics: application to concrete . ICFXI — Proceedings of the 11th International Conference on Fracture . March 20–25 . Turin, , Italy (in print)
   Google Scholar
• Kupfer , H. B. and Gerstle , K. H. 1973 . Behaviour of concrete under biaxial stresses . Journal of Engineering Mechanical Division, ASCE , 99 ( 4 ) : 853 – 866 .
   Google Scholar
• Lemaitre , J. and Chaboche , J. L. 1990 . Mechanics of Solids Material , Cambridge : Cambridge University Press .
   Google Scholar
• Low , S. S. and Moehle , J. P. 1987 . “ Experimental study of reinforced concrete columns subjected to multi-axial cyclic loading ” . Berkeley, California : University of California . Report No UCB/EERC.87/14
   Google Scholar
• Mander , J. B. , Priestley , M. J. N. and Park , R. 1988 . Theoretical stress-strain model for confined concrete . Journal of Structural Engineering, ASCE , 114 ( 8 ) : 1804 – 1826 .
   Web of Science ®Google Scholar
• Marini , A. and Spacone , E. 2006 . Analysis of reinforced concrete elements including shear effects . ACI Structural Journal , 103 ( 5 ) : 645 – 655 .
   Web of Science ®Google Scholar
• Martinelli , L. 1998 . “ Modellazione di pile di ponti in C. A. a travata soggetti ad eccitazione sismica ” . Milano, , Italy : PhD Thesis, Dipartimento di Ingegneria Strutturale, Politecnico di Milano . (in Italian)
   Google Scholar
• Martinelli , L. The behavior of reinforced concrete piers under strong seismic actions . Proceedings of the Twelfth Word Conference on Earthquake Engineering . Auckland, , New Zealand
   Google Scholar
• Martinelli , L. Numerical simulation of cyclic tests of R/C shear walls . Proceedings of the Twelfth European Conference on Earthquake Engineering . London, , United Kingdom
   Google Scholar
• Mazars , J. , Kotronis , P. , Ragueneau , F. and Casaux , G. 2006 . Using multifibre beams to account for shear and torsion. applications to concrete structural elements . Computers Methods in Applied Mechanics and Engineering , 195 ( 52 ) : 7264 – 7281 .
   Google Scholar
• Menegotto , M. and Pinto , P. E. 1973 . “ Method of analysis for cyclically loaded reinforced concrete plane frames including changes in geometry and nonelastic behaviour of elements under combined normal force and bending ” . In IABSE Symposium on Resistance and Ultimate Deformability of Structures Acted on by Well-Defined Repeated Loads Lisbon, , Portugal Final Report
   Google Scholar
• Menegotto , M. and Pinto , P. E. 1977 . Slender RC compressed members in biaxial bending . Journal of Structural Division, ASCE , 103 ( 3 ) : 587 – 605 .
   Google Scholar
• Monti , G. and Nuti , C. 1992 . Nonlinear cyclic behaviour of reinforcing bars including buckling . Journal of Structural Engineering, ASCE , 118 ( 12 ) : 3268 – 3284 .
   Web of Science ®Google Scholar
• Onsongo , W. M. 1978 . “ The diagonal compression field theory for reinforced concrete beams subjected to combined torsion, flexure and axial load ” . Toronto, , Canada : PhD Thesis, University of Toronto .
   Google Scholar
• Ozbolt , J. and Bazant , Z. P. 1992 . Microplane model for cyclic triaxial behaviour of concrete . Journal of Engineering Mechanics, ASCE , 118 ( 7 ) : 1365 – 1386 .
   Google Scholar
• Palermo , D. and Vecchio , F. J. Behavior and analysis of reinforced concrete walls subjected to reversed cyclic loading , Publication No 2002–01 . Department of Civil Engineering, University of Toronto, Toronto, Canada 2002
   Google Scholar
• Pegon , P. A Timoshenko simple beam element in CASTEM 2000 , Joint Research Centre Special Publication No I.94.04 . Ispra, Italy 1994
   Google Scholar
• Pegon , P. , Plumier , C. , Pinto , A. , Molina , J. , Gonzalez , P. , Tognoli , P. and Hubert , O. 2000 . “ U-shaped-wall: description of the experimental set-up ” . Ispra, , Italy Report Joint Research Centre (JRC)
   Google Scholar
• Perotti , F. , De Amici , A. and Venturini , P. 1996 . Numerical analysis and design implications of the seismic behavior of one-storey steel bracing systems . Engineering Structures , 18 ( 2 ) : 162 – 178 .
   Google Scholar
• Petrangeli , M. and Ciampi , V. A flexibility based 3-dimensional fibre beam element . Proceedings of Eight Italian Conference on Computational Mechanics . Torino, , Italy
   Google Scholar
• Petrangeli , M. 1996 . “ Modelli numerici per strutture monodimensionali in cemento armato ” . Roma, , Italy : PhD thesis, Università di Roma “La Sapienza” . (in Italian)
   Google Scholar
• Petrangeli , M. and Ciampi , V. 1997 . Equilibrium based numerical solutions for the nonlinear beam problem . International Journal of Numerical Methods in Engineering , 40 : 423 – 437 .
   Web of Science ®Google Scholar
• Petrangeli , M. , Pinto , P. E. and Ciampi , V. 1999 . Fibre element for cyclic bending and shear of RC structures. I: theory . Journal of Engineering Mechanics , 125 ( 9 ) : 994 – 1001 .
   Web of Science ®Google Scholar
• Petrangeli , M. 1999 . Fibre element for cyclic bending and shear of RC structures. II: verification . Journal of Engineering Mechanics , 125 ( 9 ) : 1002 – 1009 .
   Google Scholar
• Pijaudier-Cabot , G. and Bazant , Z. P. 1987 . Nonlocal damage theory . Journal of Engineering Mechanics , 113 : 1512 – 1533 .
   Web of Science ®Google Scholar
• Pinto , A. V. , Verzeletti , G. , Negro , P. and Guedes , J. 1995 . “ Cycling testing of a squat bridge pier ” . Ispra, , Italy Report EUR 16247 EN, EC, JRC
   Google Scholar
• Pipa , M. and Carvalho , E. 1993 . “ Cyclic tests on R/C cantilever T beams with B500 steel ” . In Cooperative Research Program on Seismic Response of R/C Structures , Lisbon, , Portugal : LNEC .
   Google Scholar
• Porasz , A. 1989 . “ An investigation of the stress-strain characteristics of high strength concrete in shear ” . Canada : MSc Thesis, University of Toronto .
   Google Scholar
• Priestley , M. J. N. , Verma , R. and Xiao , Y. 1994 . Seismic shear strength of reinforced columns . Journal of Structural Engineering, ASCE , 120 : 2310 – 2329 .
   Web of Science ®Google Scholar
• Ranzo , G. and Petrangeli , M. 1998 . A fibre finite beam element with section shear modelling for seismic analysis of RC structures . Journal of Earthquake Engineering , 2 : 443 – 473 .
   Google Scholar
• Ranzo , G. 2000 . “ Experimental and numerical studies on the seismic performance of beam-column RC structural members subjected to high shear ” . Roma, , Italy : PhD Thesis, Università di Roma “La Sapienza,” .
   Google Scholar
• Remino , M. 2004 . “ Shear modelling of reinforced concrete structures ” . Brescia, , Italy : PhD Thesis, Dipartimento di Ingegneria Civile, Università degli Studi di Brescia .
   Google Scholar
• Response-2000 [2000] “Response-2000” Available freely from the URL http://www.ecf.utoronto.ca/∼bentz/download.htm (www.ecf.utoronto.ca/~bentz/download.htm)
   Google Scholar
• Riva , P. , Plizzari , G. A. and Franchi , A. 1997 . “ Influenza delle caratteristiche meccaniche dell'acciaio da armatura sulla duttilità delle strutture in C.A. ” . Rome, , Italy : Giornate A.I.C.A.P. ‘97 . (in Italian)
   Google Scholar
• Rose , B. W. 2001 . “ A constitutive model for the analysis of reinforced concrete beam-columns subjected to lateral loads ” . Boulder, Colorado : Ph.D. Thesis, CEAE Dept., University of Colorado .
   Google Scholar
• Saenz , L. P. 1964 . Discussion of equation for the stress-strain curve of concrete by desay and Krishman . ACI Journal , 61 ( 9 ) : 1227 – 1239 .
   Google Scholar
• Scordelis , A. C. 1984 . Computer models for nonlinear analysis of reinforced and prestressed concrete structures . PCI Journal , 29 ( 6 )
   Google Scholar
• Spacone , E. , Ciampi , V. and Filippou , F. C. 1992 . “ A beam element for seismic damage analysis ” . University of California at Berkeley . Earthquake Engineering Research Centre report 92/08.
   Google Scholar
• Spacone , E. , Filippou , F. C. and Taucer , F. F. 1996 . Fibre beam-column model for nonlinear analysis of R/C frames: Part I. formulation . Earthquake Engineering and Structural Dynamics , 25 : 711 – 725 .
   Web of Science ®Google Scholar
• Spacone , E. , Ciampi , V. and Filippou , F. 1996 . Mixed formulation of nonlinear beam finite element . Computers and Structures , 25 : 711 – 725 .
   Google Scholar
• Spacone , E. and Limkatanyu , S. 2000 . Response of RC members including bond-slip effects . ACI Structural Journal , 6 : 831 – 839 .
   Google Scholar
• Stevens , N. J. , Uzumeri , S. M. and Collins , M. P. 1987 . “ Analytical modelling of reinforced concrete subjected to monotonic and reversed loadings ” . In Publication n° 87–01 , Toronto, , Canada : Department of Civil Engineering, University of Toronto .
   Google Scholar
• Taylor , R. L. 2000 . “ A finite element analysis program, Version 7.3 ” . In Manual , Berkeley, California : University of California .
   Google Scholar
• van Mier , J. G. M. 1986 . Multiaxial strain-softening of concrete. Part I: fracture. Part II: load histories . Materials and Structures , 111 ( 19 ) : 179 – 200 .
   Google Scholar
• Vecchio , F. J. and Collins , M. P. 1982 . “ Response of reinforced concrete to in-plane shear and normal stresses ” . Canada : Department of Civil Engineering, University of Toronto . Publication No. 82–03,
   Google Scholar
• Vecchio , F. J. and Collins , M. P. 1986 . The modified compression field theory for reinforced concrete elements subjected to shear . Journal of the American Concrete Institute , 83 ( 2 ) : 219 – 231 .
   Google Scholar
• Vecchio , F. J. and Collins , M. P. 1988 . Predicting the response of reinforced concrete beams subjected to shear using the modified compression field theory . ACI Structural Journal , 85 : 258 – 268 .
   Web of Science ®Google Scholar
• Vecchio , F. J. and Selby , R. G. 1991 . Towards compression-field analysis of reinforced concrete solids . Journal of Structural Engineering, ASCE , 117 ( 6 ) : 1740 – 1758 .
   Google Scholar
• Vecchio , F. J. 1999 . Towards cyclic load modelling of reinforced concrete . ACI Structural Journal , 96 ( 2 ) : 193 – 202 .
   Google Scholar
• Vecchio , F. J. 2000 . Disturbed stress field model for reinforced concrete: formulation . Journal of Structural Engineering , 126 ( 9 ) : 1070 – 1077 .
   Web of Science ®Google Scholar
• Xiao , Y. , Priestley , M. J. N. and Seible , F. 1993 . “ Steel jacket retrofit for enhancing shear strength of short rectangular reinforced concrete columns ” . California : Department of Applied Mechanics and Engineering Sciences, University of San Diego . Report No SSRP 92/07,
   Google Scholar
• Zienkiewicz , O. C. and Taylor , R. L. 2005 . The Finite Element Method , 6th , Bristol, , U.K. : McGraw Hill .
   Google Scholar