TECHNICAL PAPERS
Apr 1, 1994

Application of NLFM Models to Predict Cracking in Concrete Gravity Dams

Publication: Journal of Structural Engineering
Volume 120, Issue 4

Abstract

Smeared crack analysis models based on a nonlinear fracture mechanics (NLFM) crack propagation criterion are considered to study the two‐dimensional static fracture behavior of plain concrete structures. A coaxial rotating crack model (CRCM) and a fixed crack model with a variable shear resistance factor (FCM‐VSRF), both using a secant stiffness formulation, are considered in studying the behaviors of a notched shear beam, a model concrete gravity dam, and a full‐scale concrete gravity dam: all have been experimentally or numerically investigated in the past. The responses obtained from smeared crack analyses are compared with those reported in the literature by other investigators. The CRCM appears to perform better than the FCM‐VSRF in alleviating the stress‐locking phenomenon generally observed in smeared crack analyses. However, the crack profiles predicted by the rotating crack model are prone to the directional bias caused by finite element meshes of the elementary beam problem and the model concrete dam. The two smeared crack propagation models (CRCM and FCM‐VSRF) provide reasonable responses when a full‐scale concrete gravity dam is analyzed.

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References

1.
Arrea, M., and Ingraffea, A. R. (1981). “Mixed‐mode crack propagation in mortar and concrete.” Dept. of Struct. Engrg. Rep. 81‐13, Cornell University, Ithaca, N.Y.
2.
Ayari, M. L. (1988). “Static and dynamic fracture mechanics of concrete gravity dams,” PhD thesis, Department of Civil, Environmental and Architectural Engineering, University of Colorado, Boulder, Colo.
3.
Bažant, Z. P. (1983). “Comment on orthotropic models for concrete and geo‐materials.” J. Engrg. Mech., ASCE, 109(3), 849–865.
4.
Bažant, Z. P. (1990). “A critical appraisal of ‘no‐tension’ dam design: a fracture mechanics viewpoint.” Dam Engrg., 1(4), 237–247.
5.
Bažant, Z. P., and Cedolin, L. (1979). “Blunt crack band propagation in finite element analysis.” J. Engrg. Mech. Div., ASCE, 105(2), 297–315.
6.
Bažant, Z. P., and Lin, F. B. (1988). “Nonlocal smeared cracking model for concrete fracture.” J. Struct. Engrg., ASCE, 114(11), 2493–2510.
7.
Bažant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Mat. and Struct., 16(93), 155–177.
8.
Bhattacharjee, S. S. (1993). “Smeared fracture analysis of concrete gravity dams for static and seismic loads,” PhD thesis, Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada.
9.
Bhattacharjee, S. S., and Léger, P. (1993). “Seismic cracking and energy dissipation in concrete gravity dams.” Earthquake Engrg. & Struct. Dynamics, 22, 991–1007.
10.
Brühwiler, E., and Wittmann, F. H. (1990). “Failure of concrete subjected to seismic loading conditions.” Engrg. Fracture Mech., 35(1/2/3), 565–571.
11.
Carpinteri, A., Valente, S. V., Ferrara, G., and Imperato, L. (1992). “Experimental and numerical fracture modelling of a gravity dam.” Fracture mechanics of concrete structures, Z. P. Bažant, ed., Elsevier Applied Science, 351–360.
12.
Chopra, A. K., and Chakrabarti, P. (1972). “The earthquake experience at Koyna Dam and stresses in concrete gravity dams.” Earthquake Engrg. & Struct. Dynamics, 1, 151–164.
13.
Cope, R. J., Rao, P. V., Clark, L. A., and Norris, P. (1980). “Modelling of reinforced concrete behaviour for finite element analysis of bridge slabs.” Numerical methods for nonlinear problems, C. Taylor, E. Hinton, and D. R. J. Owen, eds., Pineridge Press, Swansea, U.K., 1, 457–470.
14.
Crisfield, M. A. (1981). “A fast incremental/iterative procedure that handles snap‐through.” Computers & Struct., 13, 55–62.
15.
de Borst, R. (1987). “Computation of post‐bifurcation and post‐failure behaviour of strain‐softening solids.” Computers & Struct., 25(2), 211–224.
16.
de Borst, R., and Nauta, P. (1985). “Non‐orthogonal cracks in a smeared finite element model.” Engrg. Computations, 2, 35–46.
17.
Feltrin, G., Wepf, D., and Bachmann, H. (1990). “Seismic cracking of concrete gravity dams.” Dam Engrg., 1(4), 279–289.
18.
Gerstle, W. H., and Xie, M. (1992). “FEM modelling of fictitious crack propagation in concrete.” J. Engrg. Mech., ASCE, 118(2), 416–434.
19.
Gioia, G., Bažant, Z. P., and Pohl, B. P. (1992). “Is no‐tension dam design always safe?—a numerical study.” Dam Engrg., 3(1), 23–34.
20.
Gupta, A. K., and Akbar, H. (1984). “Cracking in reinforced concrete analysis.” J. Struct. Engrg., ASCE, 110(8), 1735–1746.
21.
Hillerborg, A., Modéer, M., and Petersson, P. E. (1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cement and Concrete Res., 6, 773–782.
22.
Hinton, E., and Campbell, J. S. (1974). “Local and global smoothing of discontinuous finite element functions using a least squares method.” Int. J. for Numerical Methods in Engrg., 8, 461–480.
23.
Linsbauer, H. N., Ingraffea, A. R., Rossmanith, H. P., and Wawrzynek, P. A. (1989a). “Simulation of cracking in large arch dam: part I.” J. Struct. Engrg., ASCE, 115(7), 1599–1615.
24.
Linsbauer, H. N., Ingraffea, A. R., Rossmanith, H. P., and Wawrzynek, P. A. (1989b). “Simulation of cracking in large arch dam: part II.” J. Struct. Engrg., ASCE, 115(7), 1616–1630.
25.
Oliver, J. (1989). “A consistent characteristic length for smeared cracking models.” Int. J. for Numerical Methods in Engrg., 28, 461–474.
26.
Rashid, Y. R. (1968). “Analysis of prestressed concrete pressure vessels.” Nuclear Engrg. and Design, 7(4), 334–344.
27.
Rots, J. G. (1991). “Smeared and discrete representations of localized fracture.” Int. J. Fracture, 51, 45–59.
28.
Rots, J. G., and de Borst, R. (1987). “Analysis of mixed‐mode fracture in concrete.” J. Engrg. Mech., ASCE, 113(11), 1739–1758.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 120Issue 4April 1994
Pages: 1255 - 1271

History

Received: Sep 10, 1992
Published online: Apr 1, 1994
Published in print: Apr 1994

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Authors

Affiliations

Sudip S. Bhattacharjee
Res. Engr., Dept. of Civ. Engrg., Ecole Polytechnique, P.O. Box 6079, Station A, Montreal, QC, Canada, H3C 3A7
Pierre Léger, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Ecole Polytechnique, P.O. Box 6079, Station A, Montreal, QC, Canada H3C 3A7

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