Abstract
The chapter discusses the fiber approach for the inelastic analysis of structures subjected to high shear. The element formulation follows the kinematics of the natural mode method, while the flexibility or force-based approach is adopted to integrate the section forces and deformations. Initially we present the fiber approach within its standard, purely bending, formulation and we then expand it to the case of high shear deformations. The element formulation follows the assumptions of the Timoshenko beam theory. Numerical examples are presented confirming the accuracy and the computational efficiency of the proposed element formulation under monotonic, cyclic and dynamic/seismic loading. Compared to experimental results and the results of detailed finite element models, excellent agreement and efficiency is achieved.
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Argyris JH (1963) Recent advances in matrix methods for structural analysis. In: Progress in Aeronautical Sciences, vol 4, Pergamon Press, New York
Argyris J, Tenek L, Mattsson A (1988) BEC: a 2-node fast converging shear-deformable isotropic and composite beam element based on 6 rigid-body and 6 straining modes. Comput Meth Appl Mech Eng 152:281–336
Spacone E, Ciampi V, Filippo FC (1996) Mixed formulation of nonlinear beam element. Comput Struct 58:71–83
Spacone E, Filippou FC, Taucer FF (1996) Fibre beam-column model for non-linear analysis of R/C frames: Part I. Formulation. Earthquake Eng Struct Dynam 1996; 25:711–725
Mata P, Oller S, Barbat AH (2007) Static analysis of beam structures under nonlinear geometric and constitutive behaviour. Comput Meth Appl Mech Eng 196:4458–4478
Neuenhofer A, Filippou FC (1997) Evaluation of nonlinear frame finite-element models. J Struct Eng 123:958–966
Papaioannou I, Fragiadakis M, Papadrakakis M (2005) Inelastic analysis of framed structures using the fiber approach. In: Proceedings of the 5th international congress on computational mechanics (GRACM 05), Limassol, Cyprus, 29 June–1 July 2005, 1:231–238
Petrangeli M, Ciampi V (1997) Equilibrium based iterative solutions for the non-linear beam problem. Int J Numer Meth Eng 40:423–437
Zeris CA, Mahin S (1988) Analysis of reinforced concrete beam-columns under uniaxial excitation. ASCE J Struct Eng 114:804–820
Ciampi V, Carlesimo L (1986) A nonlinear beam element for seismic analysis of structures 8th Eur Conf Earthquake Eng, Lisbon, 6.3:73–80
Taylor RLT, Filippou FC, Saritas A, Auricchio F (2003) A mixed finite element method for beam and frame problems. Comp Mechan 31:192–203
Coleman J, Spacone E (2001) Localization issues in force-based frame elements. J Struct Eng 127:1257–1265
Ceresa P, Petrini L, Pinho R (2007) Flexure-shear fiber beam-column elements for modeling frame structures under seismic loading – state of the art. J Earthquake Eng 11:46–88
Vecchio FJ, Collins MP (1986) Modified compression-field theory for reinforced concrete elements subjected to shear. ACI J 83:219–231
Bairan GJM, Mari AR (2007) Shear-bending-torsion interaction in structural concrete members: a nonlinear coupled sectional approach. Arch Comput Meth Eng 14:249–278
Petrangeli M, Pinto PE, Ciampi V (1999) A fibre element for cyclic bending and shear. I: theory. ASCE J Struct Eng 125:994–1001
Saritas A, Filippou FC (2004) Modelling of shear yielding members for seismic energy dissipation. Proceedings of the 13th world conference on earthquake engineering, Vancouver, BC, Canada
Marini A, Spacone E (2006) Analysis of reinforced concrete elements including shear effects. ACI Struct J 103:645–655
Navarro GJ, Miguel SP, Fernandez PMA, Flippou FC (2007) A 3D numerical model for reinforced and prestressed concrete elements subjected to combined axial, bending, shear and torsion loading. Eng Struct 29:3404–3419
De Borst R (1991) The zero-normal-stress condition in plane-stress and shell elastoplasticity. Commun Appl Num Math 7:29–33
Dvorkin E, Pantuso D, Repetto E (1995) A formulation for the MITC4 shell element for finite strain elasto-plastic analysis. Comput Meth Appl Mech Eng 125:17–40
Klinkel S, Govindjee S (2002) Using finite strain 3D-material models in beam and shell elements. Eng Comput 19:902–921
Yamada Y, Yoshimura N, Sakurai T (1968) Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method. Int J Mech Sci 10: 343–354
Berman JW, Bruneau M (2007) Experimental and analytical investigation of tubular links for eccentrically braced frames. Eng Struct 29:1929–1938
Papachristidis A (2010) Numerical simulation of structures under static and dynamic loading with high performance finite elements; PhD Thesis, National Technical University of Athens Athens, Greece
Richards P, Uang CM (2005) Effect of flange width-thickness ratio on eccentrically braced frames link cyclic rotation capacity. ASCE J Struct Eng 131:1546–1552
Ibarra LF, Medina RA, Krawinkler H (2005) Hysteretic models that incorporate strength and stiffness deterioration. Earthquake Eng Struct Dynam 34:1489–1511
European committee for standardisation (2000) Eurocode 2 (EC2) design of concrete structures – Part 1: general rules and rules for buildings, Brussels, Belgium
Scott BD, Park R, Priestley MJN (1982) Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates. ACI J 79(1):13–27
Acknowledgements
The present work was carried out under the wing of the Meter 8.3 of the Operational Programme “Competitiveness” (3rd Community Support Programme) funded by the European Union (75%), the Greek Government [General Secretariat for Research and Technology of the Ministry of Development] (25%) and Private founds. The authors would also like to acknowledge the support of the John Argyris International Centre for Computational Methods in Engineering.
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Papachristidis, A., Fragiadakis, M., Papadrakakis, M. (2011). Inelastic Analysis of Frames Under Combined Bending, Shear and Torsion. In: Papadrakakis, M., Fragiadakis, M., Lagaros, N. (eds) Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0053-6_18
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DOI: https://doi.org/10.1007/978-94-007-0053-6_18
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