TECHNICAL PAPERS
Nov 1, 1990

Fracture and Failure of Concrete in Uniaxial and Biaxial Loading

Publication: Journal of Engineering Mechanics
Volume 116, Issue 11

Abstract

General analytical equations are developed to predict the overall failure stresses for plain concrete subjected to biaxial stresses. Specifically, failure equations are derived for uniaxial tension, uniaxial compression, biaxial tension, biaxial compression‐tension, and biaxial compression. The general framework of the proposed model is based on the actual events that occur in the material during loading. According to previous experimental investigations, internal microcracks exist in the concrete prior to the application of any external loading. It is shown that the growth and interaction of these preexisting microcracks in the mesostructure of the concrete eventually cause the macroscopic failure of the specimen. Only experimental parameters (concrete mix proportions and coarse aggregate sieve gradation) are required to predict any of the failure stresses. The results generated from the models compare favorably to the experimental data for all loading cases, even though the formulation is not adorned with any unidentifiable constants or parameters.

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References

1.
Bresler, B., and Pister, K. S. (1958). “Strength of concrete under combined stresses.” J. ACI, 55(3), 321–345.
2.
Chen, W. F. (1982). Plasticity in reinforced concrete. McGraw‐Hill, New York, N.Y.
3.
Cordon, W. A., and Gillespie, H. A. (1963). “Variables in concrete aggregates and Portland cement which influence the strength of concrete.” J. ACI, 60(3), 1029–1052.
4.
Cotterell, B., and Rice, J. R. (1980). “Slightly curved or kinked cracks.” Int. J. Fract., 16(2), 155–169.
5.
Dhir, R. H., and Sangha, M. (1974). “Development and propagation of microcracks in concrete.” Materiaux et Constructions, 37, 17–23.
6.
Diederich, U., Schneider, U., and Terrien, M. (1983). “Formation and propagation of cracks and acoustic emission.” Fracture mechanics of concrete, F. H. Wittmann, ed., Elsevier Publishing Co., Amsterdam, the Netherlands.
7.
Fanella, D. (1986). “A micromechanical continuous damage model for plain concrete,” thesis presented to the University of Illinois, at Chicago, Ill., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
Fanella, D., and Krajcinovic, D. (1988a). “A micromechanical model for concrete in compression.” Engrg. Fract. Mech., 29(1), 49–66.
9.
Fanella, D., and Krajcinovic, D. (1988b). “Size effect in concrete.” J. Engrg. Mech., ASCE, 114(4), 704–715.
10.
Gilkey, H. J. (1961). “Water‐cement ratio versus strength—Another look.” J. ACI, 57(4), 1287–1312.
11.
Gopalaratnam, V. S., and Shah, S. P. (1985). “Softening response of plain concrete in direct tension.” J. ACI, 82(3), 310–323.
12.
Horii, H., and Nemat‐Nasser, S. (1985). “Compression induced microcrack growth in brittle solids: Axial splitting and shear failure.” J. Geophys. Res., 90(B4), 3105–3125.
13.
Horii, H., and Nemat‐Nasser, S. (1986). “Brittle failure in compression: Splitting, faulting, and brittle‐ductile transition.” Phil. Trans. Roy. Soc. London, A319, 337–374.
14.
Hsu, T. T. C., et al. (1963). “Microcracking of plain concrete and the shape of the stress‐strain curve.” J. ACI, 60(2), 209–224.
15.
Krajcinovic, D., and Fanella, D. (1986). “A micromechanical damage model for concrete.” Engrg. Fract. Mech., 25(5/6), 585–596.
16.
Kupfer, H., Hilsdorf, H., and Rusch, H. (1969). “Behavior of concrete under biaxial stresses.” J. ACI, 66(8), 656–666.
17.
Mindess, S. (1984). “Fracture toughness of cement and concrete.” Fracture mechanics of concrete, A. Carpinteri and A. R. Ingraffea, eds., Nijhoff Publishing Co., The Hague, the Netherlands, 67–110.
18.
Mindess, S., and Young, J. (1981). Concrete. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
19.
Nallathambi, P., and Karihaloo, B. L. (1986). “Influence of slow crack growth on the fracture toughness of concrete.” Fracture toughness and fracture energy of concrete, F. H. Wittmann, ed., Elsevier Publishing Co., Amsterdam, the Netherlands, 271–288.
20.
Neville, A. M. (1963). Properties of concrete. Pitman & Sons, Ltd., London, England.
21.
Robinson, G. S. (1968). “Methods of detecting the formation and propagation of microcracks in concrete.” The structure of concrete, A. E. Brooks and K. Newman, eds., Cement and Concrete Assoc., London, England, 131–145.
22.
Santiago, S. D., and Hilsdorf, H. K. (1973). “Fracture mechanisms of concrete under compressive loads.” Cem. Concr. Res., 3(4), 363–388.
23.
Sih, G. C. (1973). Handbook of stress intensity factors. Lehigh Univ., Bethlehem, Pa.
24.
Slate, F. O. (1983). “Microscopic observations of cracks in concrete.” Fracture mechanics of concrete, F. H. Wittmann, ed., Elsevier Publishing Co., Amsterdam, the Netherlands.
25.
Slate, F. O., and Olsefski, S. (1974). “X‐rays for study of internal structure and microcracking of concrete.” J. ACI, 60(5), 575–588.
26.
Tasuji, M. E., Slate, F. O., and Nilson, A. H. (1978). “Stress‐strain response and fracture of concrete in biaxial loading.” J. ACI, 75(7), 306–312.
27.
Underwood, E. E. (1970). Quantitative stereology. Addison‐Wesley Publishing Co., Reading, Mass.
28.
Walker, S., and Bloem, D. L. (1960). “Effects of aggregate size on properties of concrete.” J. ACI, 57(3), 282–298.
29.
Zaitsev, Y. (1983). “Crack propagation in a composite material.” Fracture mechanics of concrete, F. H. Wittmann, ed., Elsevier Publishing Co., Amsterdam, the Netherlands, 251–299.
30.
Ziegeldorf, S. (1983). “Fracture mechanics properties of hardened cement paste, aggregates, and interfaces.” Fracture mechanics of concrete, F. H. Wittmann, ed., Elsevier Publishing Co., Amsterdam, the Netherlands, 371–407.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 11November 1990
Pages: 2341 - 2362

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Published online: Nov 1, 1990
Published in print: Nov 1990

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David A. Fanella, Associate Member, ASCE
Asst. Prof., School of Arch., Univ. of Illinois at Chicago, Box 4348, Chicago, IL 60680, and Struct. Engr., CBM, Inc., Chicago, IL 60602

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