Postcracking Formulation for Analysis of RC Structures Based on Secant Stiffness
Publication: Journal of Engineering Mechanics
Volume 120, Issue 12
Abstract
In this paper a total stress‐strain constitutive model is employed to simulate concrete response prior to cracking. A smeared crack approach is used to simulate the effect of cracking in concrete, and the model is capable of depicting the effect of multiple nonorthogonal cracks. Tension stiffening is considered part of the concrete in each reinforcing direction. A variable crack interface shear‐stiffness model, based on crack‐confining normal stresses, is employed. The effect of compression softening in cracked concrete is considered through the use of both stress‐ and strain‐based softening procedures. The capabilities of the analytical model are evaluated by analyzing several panel elements under uniform membrane stresses and a shear‐wall element under in‐plane stress action.
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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. Numerical Methods in Engrg., Vol. 2, 419–451.
2.
Al‐Mahaidi, R. S. H. (1979). “Nonlinear finite element analysis of reinforced concrete deep members,” PhD thesis, Cornell Univ., Ithaca, N.Y.
3.
Barzegar, F. (1988). “Analysis of RC membrane elements with anisotropic reinforcement.” J. Struct. Engrg., ASCE, 115(3), 647–665.
4.
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 Computer Aided Anal. of Concrete Struct., N. Bicanic and H. Mang, eds., Pineridge Press, Swansea, Wales, 1001–1016.
5.
Bazant, Z. P., and Gamborova, P. (1980). “Rough cracks in reinforced concrete.” J. Struct. Engrg., ASCE, 106(4), 819–842.
6.
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, Toronto, Canada.
7.
deBorst, R., and Nauta, P. (1985). “Non‐orthogonal cracks in smeared finite element model.” Engrg. Computations, 2(3), 35–46.
8.
Dyngland, T. (1989). “Behavior of reinforced concrete panels,” PhD thesis, Dept. of Civ. Engrg., Norges Techniske Hogskole, Trondheim, Norway.
9.
Figueras, J. A., and Owen, D. R. J. (1983). “Anisotropic elastoplastic finite element analysis of thick and thin plates and shells.” Int. J. Numerical Methods in Engrg., Vol. 19, 541–566.
10.
“Finite element analysis of reinforced concrete.” (1982). State of the Art Rep., Task Committee on Concrete and Masonry Struct., ASCE, New York, N.Y.
11.
Leifas, I. D., Kotsovos, M. D., and Ambraeseys, N. N. (1990). “RC structural walls, strength, deformation characteristics and failure mechanisms.” Struct. J., 87(S3), 853–866.
12.
Millard, S. G., and Johnson, R. P. (1984). “Shear transfer across cracks in reinforced concrete due to aggregate interlock and dowel action.” Mag. of Concrete Res., 36(126), 9–21.
13.
Millard, S. G., and Johnson, R. P. (1985). “Shear transfer in cracked reinforced concrete.” Mag. of Concrete Res., 37(130), 3–15.
14.
Oliver. (1989). “A consistent characteristic length for smeared crack analysis.” Int. J. Numerical Methods in Engrg., Vol. 28, 461–474.
15.
Ottosen, N. S. (1977). “A failure criterion for concrete.” J. Engrg. Mech., ASCE, 103(4), 525–535.
16.
Ottosen, N. S. (1979). “Constitutive model for short time loading of concrete.” J. Engrg. Mech., ASCE, 105(1), 127–141.
17.
Ramaswamy, A. (1992). “Nonlinear inelastic finite element analysis of reinforced concrete structures with emphasis on shear and torsion,” PhD thesis, Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, La.
18.
Rizkalla, S. H., and Hwang, L. S. (1984). “Crack prediction for members in uniaxial tension.” ACI J., 81(44), 572–579.
19.
Rots, J. G. (1988). “Computational modelling of cracked concrete,” PhD thesis, Dept. of Civ. Engrg., Delft Univ. of Technol., Delft, The Netherlands.
20.
Shima, H., Lie‐Liung, C., and Okamura, H. (1987). “Micro and macro models for bond in reinforced concrete.” J. Fac. of Engrg., Univ. of Tokyo, Tokyo, Japan, 39(2), 133–194.
21.
Tassios, T. P., and Vintzeleou, E. N. (1987). “Concrete‐to‐concrete friction.” J. Struct. Engrg., ASCE, 113(4), 213–221.
22.
Vecchio, F., and Collins, M. P. (1982). “The response of RC elements to inplane shear and normal stresses.” Rep. No.: 82‐03, Dept. of Civ. Engrg., Univ. of Toronto, Toronto, Canada.
23.
Vecchio, F., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear.” ACI J., Am. Concrete Inst., 83(22), 219–231.
24.
Vecchio, F. (1992). “Finite element modeling of concrete expansion and confining effect.” J. Struct. Engrg., ASCE, 118(9), 2390–2406.
25.
Vintzeleou, E. N., and Tassios, T. P. (1987). “Behavior of dowels under cyclic deformations.” Struct. J., 84(S3), 18–30.
26.
Yoshikawa, H., Zhishen, W., and Tanabe, T. (1989). “Analytical model for shear slip of cracked concrete.” J. Struct. Engrg., ASCE, 115(4), 771–786.
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Copyright © 1994 American Society of Civil Engineers.
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Received: May 6, 1993
Published online: Dec 1, 1994
Published in print: Dec 1994
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