TECHNICAL PAPERS
Nov 1, 1992

Fracture Mechanics and Size Effect of Concrete in Tension

Publication: Journal of Structural Engineering
Volume 118, Issue 11

Abstract

It is found that strength of concrete structures generally decreases with increasing structure size before reaching a limiting value. Fracture mechanics is used to predict such size effect. However, most previous fracture models predict that the strength drops to zero after structures become very large. The size effect is studied with the two‐parameter fracture model (TPFM). A general formulation for predicting the strength is first proposed. Two types of specimens, three‐point bend beams and split‐tension cylinders, which are frequently used to experimentally measure the strength, are then examined. For three‐point bend beams, TPFM predicts that the nominal strength decreases with increasing beam size, but approaches to a minimum constant value when sizes of the beam become very large. For split‐tension cylinders, the model indicates that load‐distribution width is an important parameter on the strength. In the presence of the distributed load, the nominal strength initially decreases with increasing cylinder size, and rises up slowly after the lowest limit. These observations are in accord with the experimental data.

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References

1.
Atkinson, C., Smelser, R. E., and Sanchez, J. (1982). “Combined mode fracture via the cracked Brazilian disc test.” Int. J. Fracture, 18(4), 279–291.
2.
Avram, C., Facaoaru, R. E., Filimon, I., Mirsu, O., and Tertea, I. (1981). Concrete strength and strains. Elsevier, New York, N.Y.
3.
Bažant, Z. P. (1984). “Size effect in blunt fracture: Concrete, rock, metal.” J. Engrg. Mech., ASCE, 110(4), 518–535.
4.
Bažant, Z. P., and Kazemi, M. T. (1990). “Determination of fracture energy, process zone length and brittleness number from size effect, with application to rock and concrete.” Int. J. Fracture, 44(2), 111–131.
5.
Bažant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Materials and Structures, 16(83), 155–177.
6.
Bažant, Z. P., Kazemi, M. T., Hasegawa, T., and Mazars, J. (1991). “Size effect in Brazilian split‐cylinder tests: Measurements and fracture analysis.” ACI Materials J., 88(3), 325–332.
7.
“Determination of fracture parameters (KICS and CTODc) of plain concrete using three‐point bend tests.” (1990). Materials and Structures, 23(138), 457–460.
8.
Hasegawa, T., Shioy, T., and Okada, T. (1985). “Size effect on splitting tensile strength of concrete.” Proc. Japan Concrete Inst. 7th Conference, Japan Concrete Institute, 309–312.
9.
Hillerborg, A., Modeer, M., and Peterson, 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(6), 773–782.
10.
Ingraffea, A. R., and Manu, C. (1980). “Stress‐intensity factor computation in three dimensions with quarter‐point element.” Int. J. Num. Methods Engrg., 15, 1427–1445.
11.
Jenq, Y. S., and Shah, S. P. (1985). “A two parameter fracture model for concrete.” J. Engrg. Mech., ASCE, 111(10), 1227–1241.
12.
Karihaloo, B. L., and Nallathambi, P. (1986). “Determination of specimen‐size independent fracture toughness of plain concrete.” Magazine of Concrete Res., 38(135), 67–76.
13.
Kim, J., and Eo, S. (1990). “Size effect in concrete specimens with dissimilar initial cracks.” Magazine of Concrete Res., 42(153), 233–238.
14.
Planas, J., and Elices, M. (1989). “Conceptual and experimental problems in the determination of the fracture energy of concrete.” Fracture toughness and fracture energy—test methods for concrete and rock, A. A. Balkema Publishers, Brookfield, Vermont, 165–181.
15.
Sokolnikoff, I. S. (1956). Mathematical theory of elasticity. Robert E. Krieger Publishing Co., Malabar, Fla.
16.
Tada, H., Paris, P. C., and Irwin, G. R. (1985). The stress analysis of cracks handbook. 2nd Ed., Paris Productions Inc., St. Louis, Missouri.
17.
Tweed, J., and Das, S. C. (1972). “The stress intensity factor of a radial crack in a finite elastic disc.” Int. J. Engrg. Sci., 10(3), 323–335.
18.
Yon, J.‐H., Hawkins, N. M., and Kobayashi, A. S. (1991). “Numerical simulation of mode I dynamic fracture of concrete.” J. Engrg. Mech., ASCE, 117(7), 1595–1610.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 118Issue 11November 1992
Pages: 3169 - 3185

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Published online: Nov 1, 1992
Published in print: Nov 1992

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Authors

Affiliations

Tianxi Tang
Eng. Res. Assoc., Texas Transp. Inst., Texas A&M Univ., College Station, TX 77843
Surendra P. Shah
Prof. and Dir., NSF Ctr. for Sci. and Tech. of Advanced Cement‐Based Materials, Northwestern Univ., Evanston, IL 60208
Chengsheng Ouyang
Res. Assoc., NSF Ctr. for Sci. and Tech. of Advanced Cement‐Based Materials, Northwestern Univ., Evanston, IL

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