Finite element formulation for geometric and material nonlinear analysis of beams prestressed with external slipping tendons

Finite Elements in Analysis and Design

Volumn 44, Issue 15, 2008, Pages 910-919

  Zona, Alessandro ^a   Ragni, Laura ^b   Dall'Asta, Andrea ^a  

^a UNIVERSITY OF CAMERINO   (Italy)

^b UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

Author keywords

Beam finite elements; External prestressing; Geometric nonlinearity; Moderate rotations; Nonlinear analysis

Indexed keywords

CONCRETE PRODUCTS; CONCRETES; FLOW INTERACTIONS; NONLINEAR ANALYSIS; PRESTRESSED CONCRETE; TENDONS; WIRE;

ANALYSIS OF BEAMS; ANALYTICAL MODELLING; BEAM FINITE ELEMENTS; CONCRETE BEAMS; EXPERIMENTAL TESTING; EXTERNAL PRESTRESSING; EXTERNAL TENDONS; EXTERNAL-; FINITE ELEMENT FORMULATION; GEOMETRIC NONLINEARITY; KINEMATICAL THEORY; LINEAR THEORIES; MATERIAL NON-LINEAR; MODERATE ROTATIONS; NON-LINEAR INTERACTIONS; PRESTRESSED; SIMULATED RESPONSES; STEEL-CONCRETE COMPOSITE BEAMS;

FINITE ELEMENT METHOD;

EID: 53649103833     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2008.06.005     Document Type: Article

References (31)

1. Dall'Asta A. On the coupling between three-dimensional bodies and slipping cables. Int. J. Solids Struct. 33 24 (1996) 3587-3600
2. Conti E., Tardy R., and Virlogeux M. Friction losses in some externally prestressed bridges in France. In: Conti, and Tardy (Eds). Proceedings of the workshop on Behaviour of External Prestressing in Structures (1993), AFPC, Saint-Rémy-lès-Chevreuse, France
3. Aparicio A.C., Ramos G., and Casas J.R. Testing of externally prestressed concrete beams. Eng. Struct. 24 1 (2002) 73-84
4. Saadatmanesh H., Albrecht P., and Ayyub B.M. Analytical study of prestressed composite beams. J. Struct. Eng. 115 9 (1989) 2364-2381
5. Dall'Asta A., and Dezi L. Nonlinear behavior of externally prestressed composite beams: analytical model. J. Struct. Eng. 124 5 (1998) 588-597
6. Dall'Asta A., and Zona A. Finite element model for externally prestressed composite beams with deformable connection. J. Struct. Eng. 131 5 (2005) 706-714
7. Alkhairi F.M., and Naaman A.E. Analysis of beams prestressed with unbonded internal or external tendons. J. Struct. Eng. 119 9 (1993) 2680-2700
8. Harajli M., Khairallah N., and Nassif H. Externally prestressed members: evaluation of second-order effects. J. Struct. Eng. 125 10 (1999) 1151-1161
9. Ng C.K., and Tan K.H. Flexural behaviour of externally prestressed beams. Part I: analytical model. Eng. Struct. 28 4 (2006) 609-621
10. Ramos G., and Aparicio A.C. Ultimate analysis of monolithic and segmental externally prestressed concrete bridges. J. Bridge Eng. 1 1 (1996) 10-17
11. Ariyawardena N., and Ghali A. Prestressing with unbonded internal or external tendons: analysis and computer model. J. Struct. Eng. 128 12 (2002) 1493-1501
12. Dall'Asta A., Ragni L., and Zona A. Analytical model for geometric and material nonlinear analysis of externally prestressed beams. J. Eng. Mech. 133 1 (2007) 117-121
13. Naghdi P.M., and Vongsarnpigoon A. Small strain accompanied by moderate rotations. Arch. Ration. Mech. Anal. 80 4 (1982) 245-283
14. Marzano S., and De Tommasi D. Small strain and moderate rotations. J. Elasticity 32 1 (1993) 37-50
15. Simo J.C. A finite strain beam formulation. The three-dimensional dynamic problem. Part I. Comput. Methods Appl. Mech. Eng. 49 1 (1985) 55-70
16. Hardy G.H., and Wright E.M. An Introduction to the Theory of Numbers. fifth ed. (1979), Clarendon Press, Oxford, UK
17. Reddy J.N. An Introduction to Nonlinear Finite Element Analysis (2004), Oxford University Press, Oxford, UK
18. Nanakorn P., and Vu L.N. A 2D field-consistent beam element for large displacement analysis using the total Lagrangian formulation. Finite Elem. Anal. Des. 42 14-15 (2006) 1240-1247
19. Blaauwendraad I.J. Realistic analysis of reinforced concrete framed structures. Heron 18 4 (1972) 1-31
20. Gupta A.K., and Ma P.S. Error in eccentric beam formulation. Int. J. Numer. Methods Eng. 11 9 (1977) 1473-1483
21. Crisfield M.A. The eccentricity issue in the design of plate and shell elements. Commun. Appl. Numer. Methods 7 1 (1991) 47-56
22. Naganarayana B.P., and Prathap G. Field-consistency analysis of 27-noded hexahedral elements for constrained media elasticity. Finite Elem. Anal. Des. 9 2 (1991) 149-168
23. Yunhua L. Explanation and elimination of shear locking and membrane locking with field consistency approach. Comput. Methods Appl. Mech. Eng. 162 1-4 (1998) 249-269
24. Dall'Asta A., and Zona A. Slip locking in finite elements for composite beams with deformable shear connection. Finite Elem. Anal. Des. 40 13-14 (2004) 1907-1930
25. Saenz L.P. Discussion of equation for the stress-strain curve of concrete by Desayi and Krishman. ACI Struct. J. 61 9 (1964) 1229-1235
26. Bruneau M., Uang C.M., and Whittaker A. Ductile Design of Steel Structures (1998), McGraw-Hill, New York
27. Bazant Z.P., Pan J., and Pijaudier-Cabot G. Softening in reinforced concrete beams and frames. J. Struct. Eng. 113 12 (1987) 2333-2347
28. Tan K.H., and Ng C.K. Effects of deviators and tendon configuration on behaviour of externally prestressed beams. ACI Struct. J. 94 1 (1997) 13-22
29. Ng C.K., and Tan K.H. Flexural behaviour of externally prestressed beams. Part II: experimental investigation. Eng. Struct. 28 4 (2006) 622-633
30. Batoz J.L., and Dhatt G. Incremental displacement algorithms for non-linear problems. Int. J. Numer. Methods Eng. 14 8 (1979) 1262-1267
31. Chen S., and Gu P. Load carrying capacity of composite beams prestressed with external tendons under positive moment. J. Construct. Steel Res. 61 4 (2005) 515-530