Using multifiber beams to account for shear and torsion. Applications to concrete structural elements

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 52, 2006, Pages 7264-7281

  Mazars, J ^a   Kotronis, P ^a   Ragueneau, F ^b   Casaux, G ^b  

^a LABORATOIRE SOLS SOLIDES STRUCTURES   (France)

^b Grande Voie des Vignes   (France)

Author keywords

Concrete; Multifiber beams

Indexed keywords

INTERPOLATION; KINEMATICS; MATHEMATICAL MODELS; SHEAR STRESS; STRUCTURAL LOADS; TORSIONAL STRESS;

CONCRETE STRUCTURAL ELEMENTS; HIGHER ORDER INTERPOLATIONS; MULTIFIBER BEAMS; SHEAR LOCKING; WARPING KINEMATICS;

CONCRETE BEAMS AND GIRDERS;

CONCRETE BEAMS AND GIRDERS; INTERPOLATION; KINEMATICS; MATHEMATICAL MODELS; SHEAR STRESS; STRUCTURAL LOADS; TORSIONAL STRESS;

EID: 33748969362     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.05.053     Document Type: Article

References (43)

1. T. Paulay, Capacity design of reinforced concrete ductile frames, in: Proceedings, Workshop on Earthquake-Resistant Reinforced Concrete Building Construction, University of California at Berkeley, III, 1970, pp. 1043-1075.
2. Paulay T., and Priestley M.J.N. Seismic Design of Reinforced Concrete and Masonry Buildings (1992), Wiley, John & Sons, Incorporated
3. Priestley M.J.N. Myths and Fallacies in Earthquake Engineering, Revisited. The Mallet Milne Lecture (2003), IUSS Press
4. Chopra A.K. Dynamics of Structures: Theory and Applications to Earthquake Engineering. second ed. (2001), Prentice-Hall
5. Elnashai A.S. Advanced inelastic static (pushover) analysis for earthquake applications. J. Struct. Engrg. Mech. 12 1 (2001) 51-69
6. Fajfar P. A nonlinear analysis method for performance-based seismic design. Earthquake Spectra 16 3 (2000) 573-592
7. Lemaitre J., and Chaboche J.L. Mechanics of Solids Material (1990), Cambridge University Press
8. P.J. Armstrong, C.O. Frederick, A Mathematical Representation of the Multiaxial Bauschinger Effect, G.E.G.B. Report RD/B/N 731, 1966.
9. Mazars J. A description of micro- and macroscale damage of concrete structures. J. Engrg. Fracture Mech. 25 5/6 (1986) 729-737
10. Ch. La Borderie, Phénomènes unilatéraux dans un matériau endommageable: modélisation et application à l'analyse de structures en béton, Ph.D. thesis, Univ. Paris VI, 1991.
11. P. Kotronis, Cisaillement dynamique de murs en béton armé, Modèles simplifiés 2D et 3D. Ph.D., LMT-Ecole Normale Supérieure de Cachan, 2000.
12. Kotronis P., and Mazars J. Simplified modelling strategies to simulate the dynamic behaviour of R/C walls. J. Earthquake Engrg. 9 2 (2005) 285-306
13. Kotronis P., Davenne L., and Mazars J. Poutre 3D multifibre Timoshenko pour la modélisation des structures en béton armé soumises à des chargements sévères. Rev. Française Génie Civil 8 2-3 (2004) 329-343
14. Petrangeli M., Pinto P.E., and Ciampi V. Fiber element for cyclic bending and shear of RC structures. I: Theory. J. Engrg. Mech. 125 9 (1999) 994-1001
15. Spacone E., Filippou F.C., and Taucer F.F. Fiber beam-column model for nonlinear analysis of R/C frames. I: Formulation. Earthquake Engrg. Struct. Dynam. 25 7 (1996) 711-725
16. Friedman Z., and Kosmatka J.B. An improved two-node Timoshenko beam finite element. Comput. Struct. 47 3 (1993) 473-481
17. Cowper G.R. The shear coefficient in Timoshenko's beam theory. ASME J. Appl. Mech. 33 (1966) 335-340
18. J. Guedes, P. Pégon, A. Pinto, A fibre Timoshenko beam element in CASTEM 2000, Special publication Nr. I.94.31, J.R.C., I-21020, Ispra, Italy, 1994.
19. F.C. Filippou, Nonlinear static and dynamic analysis for evaluation of structures, in: 3rd European Conference on Structural Dynamics Eurodyn 96, Florence, Italy, 1996, pp. 395-402.
20. R.L. Taylor, FEAP: A finite element analysis program, version 7.3 manual, University of California, Berkeley, 2000.
21. Bousias S.N., Verzeletti G., Fardis M.N., and Guiterrez E. Load-path effects in column biaxial bending and axial force. J. Eng. Mech. ASCE 121 5 (1995) 596-605
22. Crisfield M.A. Nonlinear Finite Element Analysis of Solids and Structures vol. I (1991), John Wiley, Chichester
23. Mazars J., and Pijaudier-Cabot G. Continuum damage theory-application to concrete. ASCE J. Engrg. Mech. 115 (1989) 345-365
24. P. Pégon, C. Plumier, A. Pinto, J. Molina, P. Gonzalez, P. Tognoli, O. Hubert, U-shaped-wall: description of the experimental set-up, Report, Joint Research Center (J.R.C.), Ispra, Italy, 2000.
25. Kafka V. Concrete under complex loading: mesomechanical model of deformation and of cumulative damage. Eur. J. Mech. A/Solids 23 (2004) 63-75
26. Powell G.H., and Chen P.F. 3-D beam-column element with generalized plastic hinges. J. Engrg. Mech. Div. ASCE 112 7 (1986) 627-641
27. Thanoon W.A., Paul D.K., Jaafar M.S., and Trikha D.N. Influence of torsion on the inelastic response of tree-dimensional r.c. frames. Finite Element Anal. Des. 40 (2004) 611-628
28. Schulz M., and Filippou F.C. Generalized warping torsion formulation. J. Engrg. Mech. (1998) 339-347
29. Li Z., Ko J.M., and Ni Y.Q. Torsional rigidity of reinforced concrete bars with arbitrary sectional shape. Finite Element Anal. Des. 35 (2000) 349-361
30. Karayanis C.G. Torsional analysis of flanged concrete elements with tension softening. Comput. Struct. 54 1 (1995) 97-110
31. G. Casaux, Modélisation tridimensionnelle du comportement sismique d'ouvrages en béton armé-Développement de méthodes simplifiées, Ph.D. thesis LMT- Ecole Normale Supérieure de Cachan, 2003.
32. J.M. Proix, N. Laurent, P. Hemon, G. Bertrand, Code Aster, manuel de référence, Fascicule R3.08: Eléments mécaniques à fibre moyenne, Document: R3.08.03, Calcul des caractéristiques d'une poutre de section transversale quelconque, 2000.
33. Karayannis C.G., and Chalioris C.E. Experimental validation of smeared analysis for plain concrete in torsion. J. Struct. Engrg. 126 6 (2000) 646-653
34. Mazars J., Kotronis P., and Davenne L. A new modelling strategy for the behaviour of shear walls under dynamic loading. Earthquake Engrg. Struct. Dynam. 31 4 (2002) 937-954
35. Schlaich J., Schäfer I., and Jennewein M. Towards a consistent design of structural concrete. J. Prestress. Concr. Inst. 32 3 (1987) 74-150
36. Collins M.P., and Mitchell D. Shear and torsion design of prestressed and non-prestressed concrete beams. J. Prestress. Concr. Inst. 25 5 (1980) 32-100
37. Hsu T.T.C. Toward a unified nomenclature for reinforced concrete theory. J. Struct. Engrg. ASCE 122 3 (1996) 275-283
38. Kotronis P., Mazars J., and Davenne L. The equivalent reinforced concrete model for simulating the behaviour of shear walls under dynamic loading. Engrg. Fracture Mech. 70 7-8 (2003) 1085-1097
39. ASCE-ACI Committee 445 on Shear and Torsion. Recent approaches to shear design of structural concrete. J. Struct. Engrg. 124 12 (1998) 1375-1417
40. Pijaudier-Cabot G., and Bažant Z.P. Nonlocal damage theory. J. Engrg. Mech. 113 (1987) 1512-1533
41. Chambon R., Caillerie D., and Matsushima T. Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies. Int. J. Solids Struct. 38 (2001) 8503-8527
42. P. Kotronis, R. Chambon, J. Mazars, F. Collin, Local second gradient models and damage mechanics: application to concrete, in: 11th International Conference on Fracture, Turin, Italy, 20-25 March, Org. ICF, cd paper no 5712, 2005.
43. J.M. Reynouard, M.N. Fardis (Eds.), R.T. Severn, R. Bairrão (Gen. Eds.), CAFEEL-ECOEST/ICONS, Thematic report N.5, Shear Walls Structures, (LNEC, ISBN 972-49-1891-2) September, 2001.