TECHNICAL PAPERS
Oct 1, 1983

Predictions of Nonlinear Fracture Process Zone in Concrete

Publication: Journal of Engineering Mechanics
Volume 109, Issue 5

Abstract

Crack propagation in concrete is associated with a nonlinear zone around the crack‐tip. The size of this fracture process zone length may be large depending upon the size of the aggregates and the geometry of the specimen. A theoretical model to predict the extent of this nonlinear zone and a method to include the effects of this nonlinearity in predicting the fracture resistance of concrete are described. The model is based on some simple and approximate extensions of the concepts of linear elastic fracture mechanics. The model is successfully used to analyze the results of the experiments on double cantilever, double torsion and the notched‐beam specimens.

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References

1.
Barenblatt, G. J., “The Mathematical Theory of Equilibrium Crack in the Brittle Fracture,” Advances in Applied Mechanics, Vol. 7, 1962, pp. 55–125.
2.
Bazant, Z. P., and Oh, B. H., “Crack Band Theory for Fracture of Concrete Materials and Structures,” Vol. 16, No. 93, May–June, 1983, pp. 155–178.
3.
Brown, W. F., Jr., and Srawley, J. E., “Plain Strain Crack Toughness Testing of High Strength Metallic Materials,” ASTM‐STP 410, ASTM, Philadelphia, Pa., 1967.
4.
Carpinteri, A., “Application of Fracture Mechanics to Concrete Structure,” Journal of the Structural Division, ASCE, Vol. 108, No. ST4, Apr., 1982, pp. 833–848.
5.
Doll, W., and Weiman, G. W., “Deformationsverhalten von PMMA‐Crazes an Ribspritzen,” Progress in Colloid and Polymer Science, Vol. 66, 1979, pp. 291–298.
6.
Dugdale, D. S., “Yielding of Steel Sheets Containing Slits,” Journal of Mechanics, Physics and Solids, Vol. 8, 1960, pp. 100–104.
7.
Evans, R. H., and Marathe, M. S., “Microcracking and Stress‐Strain Curves for Concrete in Tension,” Materials et Constructions, No. 1, Jan.–Feb., 1968, pp. 61–64.
8.
Foote, R. M. L., Cotterell, B., and Mai, Y. W., “Crack Growth Resistance Curve for a Cement Composite,” Advances in Cement‐Matrix Composites, Proceedings, Symposium L, Materials Research Society, Annual Meeting, Boston, Mass., Nov. 17–18, 1980, pp. 135–144.
9.
Hillerborg, A., Modeer, M., and Petersson, P. E., “Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements,” Cement and Concrete Research, Vol. 6, 1976, pp. 773–782.
10.
Hodgkinson, J. M., and Williams, J. G., “J and Gc Analysis of the Tearing of a Highly Ductile Polymer,” Journal of Materials Science, Vol. 16, 1981, pp. 50–56.
11.
Huang, C. J., Swartz, S. E., and Hu, K. K., “On the Experimental and Numerical Analysis of Fracture Toughness of Plain Concrete Bemas,” presented at the ASTM Symposium on Fracture Mechanics Methods for Ceramics, Rocks and Concrete, Chicago, Ill., June 23–24, 1980.
12.
Ingraffea, A. R., and Arrea, M., “Mixed‐Mode Crack Propagation in Mortar and Concrete,” Report No. 81‐13, Department of Structural Engineering, Cornell University, Ithaca, N.Y., Feb., 1982.
13.
Kaplan, M. F., “Crack Propagation and the Fracture of Concrete,” Proceedings, ACI Journal, Vol. 58, No. 5, Nov., 1961, pp. 591–610.
14.
Lenian, J. C., and Bunsell, A. R., “The Resistance to Crack Growth of Asbestos Cement,” Journal of Materials Science, Vol. 14, 1979, pp. 321–332.
15.
Lott, J. L., Kesler, C. E., and Naus, D. J., “Fracture Mechanics—Its Applicability to Concrete,” Mechanical Behavior of Materials, Vol. IV, Society of Materials Science, Japan, 1972, pp. 113–124.
16.
Mindess, S., Lawrence, F. V., and Kesler, C. E., “The J‐Integral as a Fracture Criterion for Fiber Reinforced Concrete,” Cement and Concrete Research, Vol. 7, 1977, pp. 731–742.
17.
Naus, D. J., and Lott, J. L., “Fracture Toughness of Portland Cement Concretes,” ACI Journal, June, 1969, pp. 481–489.
18.
Okamura, H., Watanabe, K., and Takano, T., “Applications of the Compliance Concept in Fracture Mechanics,” ASTM‐STP 536, ASTM, Philadelphia, Pa., 1973, pp. 423–438.
19.
Okamura, H., and Watanabe, K., “Deformation and Strength of Cracked Member Under Bending Moment and Axial Force,” Engineering Fracture Mechanics, Vol. 7, 1975, pp. 531–539.
20.
Petersson, P. E., “Crack Growth and Development of Fracture Zones in Plain Concrete and Similar Materials,” thesis presented to the University of Lund, Sweden, in 1981, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
21.
Schinker, M. G., and Doll, W., “Interference Optical Measurements of Large Deformations at the Tip of a Running Crack in a Glassy Thermoplastic,” Mechanical Properties of Materials at High Rates of Strain, J. Harding, ed., Institute of Physics Conference Series, No. 47, Chap. 2, 1979, pp. 224–232.
22.
Schmidt, R. A., and Lutz, T. J., “KIC and JIC of Westerly Granite‐Effects of Thickness and In‐Plane Dimensions,” Fracture Mechanics Applied to Brittle Materials, ASTM‐STP 678, ASTM, Philadelphia, Pa., 1978, pp. 166–182.
23.
Shah, S. P., and McGarry, F. J., “Griffith Fracture Criteria and Concrete,” Journal of the Engineering Mechanics Division, ASCE, Vol. 47, No. EM6, 1971, pp. 1663–1676.
24.
Shah, S. P., Stroeven, P., Dalhuisen, D., and van Stekelenberg, P., “Complete Stress‐Strain Curves for Steel Fiber Reinforced Concrete in Uniaxial Tension and Compression,” Proceedings, International Symposium, RILEM‐ACI‐ASTM, Sheffield, Sept., 1978, pp. 399–408.
25.
Srawley, J. E., and Gross, B., “Stress Intensity Factors for Crackline—Loaded Edge‐Crack Specimens,” Materials Research and Standards, Vol. 7, No. 4, Apr., 1967, pp. 155–162.
26.
Swartz, S. E., Hu, K. K., Fartash, M., and Huang, C. J., “Stress Intensity Factor for Plain Concrete in Bending—Prenotched versus Precracked Beams,” Experimental Mechanics, Vol. 22, Nov., 1982, pp. 412–417.
27.
Velazco, G., Visalvanich, K., and Shah, S. P., “Fracture Behavior and Analysis of Fiber Reinforced Concrete Beams,” Cement and Concrete Research, Vol. 10, Jan., 1980, pp. 41–51.
28.
Visalvanich, K., and Naaman, A. E., “Evaluation of Fracture Techniques in Cementitious Composites,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM6, Dec., 1981, pp. 1155–1171.
29.
Walsh, P. F., “Fracture of Plain Concrete,” Indian Concrete Journal, Vol. 46, Nov., 1972, pp. 469–470, 476.
30.
Wecharatana, M., “Fracture Resistance in Cementitious Composites,” thesis presented to the University of Illinois at Chicago Circle, at Chicago, Ill., in 1982, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
31.
Wecharatana, M., and Shah, S. P., “Double Torsion Tests for Studying Slow Crack Browth of Portland Cement Mortar,” Cement and Concrete Research, Vol. 10, 1980, pp. 833–844.
32.
Wecharatana, M., and Shah, S. P., “Slow Crack Growth in Cement Composites,” Journal of the Structural Division, ASCE, Vol. 108, No. ST6, June, 1982, pp. 1400–1413.
33.
Williams, J. G., “Visco‐Elastic and Thermal Effects on Crack Growth in PMMA,” International Journal of Fracture Mechanics, Vol. 8, No. 4, Dec., 1972, pp. 393–401.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 109Issue 5October 1983
Pages: 1231 - 1246

History

Published online: Oct 1, 1983
Published in print: Oct 1983

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Authors

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Methi Wecharatana, A. M. ASCE
Asst. Prof., Dept. of Civ. Ertgrg., New Jersey Inst. of Tech., Newark, N.J. 07102
Surendra P. Shah, M. ASCE
Prof. of Civ. Engrg., Northwestern Univ., Evanston, Ill. 60201

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