Study of Layering Procedures in Finite-Element Analysis of RC Flexural and Torsional Elements
Publication: Journal of Structural Engineering
Volume 121, Issue 12
Abstract
A new postcracking formulation for concrete, along with both implicit and explicit layering procedures, is used in the analysis of reinforced-concrete (RC) flexural and torsional elements. The postcracking formulation accounts for tension stiffening in concrete along the rebar directions, compression softening in cracked concrete based on either stresses or strains, and aggregate interlock based on crack-confining normal stresses. Transverse shear stresses computed using the layering procedures are included in material model considerations that permit the development of inclined cracks through the RC cross section. Examples of a beam analyzed by both the layering techniques, a torsional element, and a column-slab connection region analyzed by the implicit layering procedure are presented here. The study highlights the primary advantages and disadvantages of each layering approach, identifying the class of problems where the application of either procedure is more suitable.
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References
1.
Ahmad, S., Irons, B. M., and Zienkiewicz, O. C. (1970). “Analysis of thick and thin shell structures by curved finite elements.”Int. J. Numer. Methods in Engrg., Vol. 2, 419–451.
2.
Al Mahaidi, R. S. H. (1979). “Nonlinear finite element analysis of reinforced concrete deep members,” PhD dissertation, Cornell Univ., Ithaca, N.Y.
3.
ASCE Task Committee on Concrete and Masonry Structures. (1982). State of the art report on Finite Element Analysis of Reinforced Concrete . New York, N.Y.
4.
Barzegar, F.(1989). “Layering of RC membrane and plate elements in nonlinear analysis.”J. Struct. Engrg., ASCE, 114(11), 2474–2492.
5.
Barzegar, F., and Ramaswamy, A. (1990). “A secant post-cracking model for reinforced concrete with particular emphasis on tension-stiffening.”Proc., 2nd Int. Conf. for Comp. Aided Anal. of Concrete Struct., N. Bicanic and H. Mang, eds., Pineridge Press, Swansea, Wales, 1001–1016.
6.
Bathe, K. J. (1982). Finite element procedures in engineering analysis . Prentice-Hall Inc., Englewood Cliffs, N.J.
7.
Baant, Z. P., and Gamborova, P.(1980). “Rough cracks in reinforced concrete.”J. Struct. Engrg., ASCE, 106(4), 819–842.
8.
Bhide, S., and Collins, M. P. (1987). “Reinforced concrete elements in shear and tension.”Rep. No. 87-02, Dept. of Civ. Engrg., Univ. of Toronto, Canada.
9.
“Building Code Requirements for Reinforced Concrete.” (1983). ACI-318, American Concrete Institute (ACI), Detroit, Mich.
10.
“Code of practice for structural use of concrete.” (1972). CP: 110: Part 1: 1972, British Standards Inst. (BSI), London, England.
11.
deBorst, R., and Nauta, P.(1985). “Non-orthogonal cracks in smeared finite element model.”Engrg. Computations, 2(3), 35–46.
12.
Dyngland, T. (1989). “Behavior of reinforced concrete panels,” PhD dissertation, Dept. of Civ. Engrg., Norges Techniske Hogskole, Trondheim, Norway.
13.
Figueras, J. A., and Owen, D. R. J. (1983). “Anisotropic elasto-plastic finite element analysis of thick and thin plates and shells.”Int. J. Numer. Methods in Engrg., Vol. 19, 541–566.
14.
Lin, C. S., and Scordelis, A.(1975). “Nonlinear analysis of RC shells of general form.”J. Struct. Engrg., ASCE, 101(3), 523–538.
15.
Marti, P., Leesti, P., and Khalifa, W.(1987). “Torsion tests on reinforced concrete slab elements.”J. Struct. Engrg., ASCE, 113(5), 994–1010.
16.
Millard, S. G., and Johnson, R. P.(1984). “Shear transfer across cracks in reinforced concrete due to aggregate interlock and dowel action.”Mag. Concrete Res., 36(126), 9–21.
17.
Millard, S. G., and Johnson, R. P.(1985). “Shear transfer in cracked reinforced concrete.”Mag. Concrete Res., 37(130), 3–15.
18.
Model code for concrete structures. (1978). Comite' Euro-Internationale du Beton (CEB-FIP), Paris, France.
19.
Oliver. (1989). “A consistent characteristic length for smeared crack analysis.”Int. J. Numer. Methods in Engrg., Vol. 28, 461–474.
20.
Ottosen, N. S.(1977). “A failure criterion for concrete.”J. Engrg. Mech., ASCE, 103(4), 525–535.
21.
Ottosen, N. S.(1979). “Constitutive model for short time loading of concrete.”J. Engrg. Mech., ASCE, 105(1), 127–141.
22.
Ramaswamy, A. (1992). “Nonlinear inelastic finite element analysis of reinforced concrete structures with emphasis on shear and torsion,” PhD dissertation, Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, La.
23.
Ramaswamy, A., Barzegar, F., and Voyiadjis, G. Z.(1994). “A post-cracking formulation for analysis of RC structures based on secant stiffnesses.”J. Engrg. Mech., ASCE, 120(12), 2621–2640.
24.
Rashid, Y. R.(1968). “Analysis of prestressed concrete vessels.”Nuclear Engrg. and Des., 7(4), 334–344.
25.
Regan, P. E.(1986). “Symmetric punching of reinforced concrete slabs.”Mag. Concrete Res., 38(136), 115–128.
26.
Rehman, A. (1982). “Computational models for the nonlinear analysis of reinforced concrete flexural slab systems,” PhD dissertation, Univ. of Swansea, Swansea, Wales.
27.
Rots, J. G. (1983). “Prediction of dominant cracks using the smeared crack concept.”Rep. No. BI-83-39, Dept. of Civ. Engrg., Delft Univ. of Technol., Delft, The Netherlands.
28.
Tassios, T. P., and Vintzeleou, E. N.(1987). “Concrete-to-concrete friction.”J. Struct. Engrg., ASCE, 113(4), 213–221.
29.
“The structural use of concrete.” (1985). BS 8110, London, England.
30.
Vecchio, F., and Collins, M. P. (1982). “The response of RC elements to inplane shear and normal stresses.”Rep. 82-03, Dept. of Civ. Engrg., Univ. of Toronto, Ont., Canada.
31.
Vecchio, F., and Collins, M. P.(1986). “The modified compression field theory for reinforced concrete elements subjected to shear.”ACI J., 83(22), 219–231.
32.
Vintzeleou, E. N., and Tassios, T. P. (1987). “Behavior of dowels under cyclic deformations.”ACI Struct. J., 84(S3), 18–30.
33.
Walraven, J. (1979). “The influence of depth on the shear strength of concrete beams without shear reinforcement.”Rep. 5-78-4, Stevens Lab., Delft Univ. of Technol., Delft, The Netherlands.
34.
Yoshikawa, M., and Zhishen W., and Tanabe(1989). “Analytical model for shear slip of cracked concrete.”J. Struct. Engrg., ASCE, 115(4), 771–786.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 121 • Issue 12 • December 1995
Pages: 1773 - 1783
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Dec 1, 1995
Published in print: Dec 1995
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