TECHNICAL PAPERS
Dec 1, 1994

Effects of Process Zones on Crack Interactions

Publication: Journal of Engineering Mechanics
Volume 120, Issue 12

Abstract

The problem of interaction among cracks, including the effects of process zones, is studied. The Dugdale‐type cohesive‐zone model is extended to mixed‐modes of loading and is then used to evaluate the size of process zones. The interaction is considered by applying uniform normal and shear tractions on each crack surface caused by the remaining cracks. The magnitude of these interaction tractions relative to far‐field stresses reflects the intensity of the interaction. The effect of process zones on the magnitude of interaction tractions is studied by comparing them with the corresponding elastic values. It is shown that process zones generally enhance the interaction, but effective properties are not altered significantly.

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References

1.
Barenblatt, G. I. (1962). “The mathematical theory of equilibrium of cracks.” Advances in applied mechanics, Vol. 7, H. L. Dryden and T. von Karmen, eds., Academic Press, Inc., New York, N.Y., 55–129.
2.
Becker, W., and Gross, D. (1988). “About the Dugdale crack under mixed‐mode loading.” Int. J. Fracture, 37(3), 163–171.
3.
Bilby, B. A., Cottrell, A. H., and Swinden, K. H. (1963). “The spread of plastic yield from a notch.” Proc., Royal Soc. London Ser. A, 285, London, England, 23–33.
4.
Bristow, J. R. (1960). “Microcracks and the static and dynamic elastic constants of annealed and cold‐worked metals.” British J. Appl. Phys., 11, 81–85.
5.
Budiansky, B., and O'Connell, R. J. (1976). “Elastic moduli of a cracked solid.” Int. J. Solids and Struct., 12(2), 81–97.
6.
Costin, L. S. (1985). “Damage mechanics in the post‐failure regime.” Mech. Mat., 4(2), 149–160.
7.
Dugdale, D. S. (1960). “Yielding of steel sheets containing slits.” J. Mech. Phys. Solids, 8(2), 100–104.
8.
Erdogan, F. (1962). “On the stress distribution in plates with collinear cuts under arbitrary loads.” Proc., 4th U.S. Nat. Congress of Appl. Mech., Berkeley, Calif., 547–553.
9.
Hallbauer, D. K., Wagner, H., and Cook, N. G. W. (1973). “Some observations concerning the microscopic and mechanical behavior of quartize specimens in stiff, triaxial compression tests.” Int. J. Rock Mech. Min. Sci., 10(6), 713–716.
10.
Hill, R. (1963). “Elastic properties of reinforced solids: some theoretical principles.” J. Mech. Phys. Solids, 11(5), 357–372.
11.
Hsu, T. C., Slate, F. O., Sturman, G. M., and Winter, G. (1963). “Microcracking of plain concrete and the shape of the stress‐strain curve.” ACI Mat. J., 60(2), 209.
12.
Kachanov, M. (1982). “Microcrack model of rock inelasticity, part I: frictional sliding on the pre‐existing microcracks.” Mech. Mat., 1(1), 3–18.
13.
Kachanov, M. (1985). “A simple technique of stress analysis in elastic solids with many cracks.” Int. J. Fracture, 28(1), R11–R19.
14.
Kachanov, M. (1990). “On the relationship between fracturing of brittle microcracking solid and its effective elastic properties.” Damage mechanics in engineering materials, J. W. Ju, D. Krajcinovic, and H. L. Schreyer eds. ASME, 11–16.
15.
Kachanov, M. (1993). “Elastic solids with many cracks and related problems.” Advances in applied mechanics, Vol. 30, J. Hutchinson and T. Wu, eds. Academic Press, Inc., San Diego, Calif., 259–428.
16.
Kachanov, M., and Laures, J. (1989). “Three dimensional problems of strongly interacting arbitrarily located penny‐shaped cracks.” Int. J. Fracture, 41(4), 289–313.
17.
Kachanov, M., and Montagut, E. (1986). “Interaction of a crack with a certain microcrack array.” Engrg. Fracture Mech., 25(6), 625–636.
18.
Keer, L. M., and Mura, T. (1966). “Stationary crack and continuous distributions of dislocations.” Proc., 1st Int. Conf. on Fracture, Sendai, 1965, T. Yokobori, T. Kawasaki, and J. L. Swedlow eds., Vol. I, 99–116, Japanese Soc. of Strength and Fracture of Mat., Tokyo, Japan.
19.
Kemeny, J. M., and Tang, F. F. (1990). “A numerical damage model for rock based on microcrack growth, interaction and coalescence.” Damage mechanics in engineering materials, eds. J. W. Ju, D. Krajcinovic, and H. L. Schreyer, ASME, 103–116.
20.
Palmer, A. C., and Rice, J. R. (1973). “The growth of slip surfaces in the progressive failure of over‐consolidated clay.” Proc. Royal Soc. London Ser. A, 332, London, England, 527–548.
21.
Smith, E. (1966). “Fracture at stress concentrations.” Proc., 1st Int. Conf. on Fracture, Sendai, 1965, T. Yokobori, T. Kawasaki, and J. L. Swedlow, Vol. I, 133–152, Japanese Soc. of Strength and Fracture of Mat., Tokyo, Japan.
22.
Tada, H., Paris, P. C., and Irwin, G. R. (1985). The stress analysis of cracks handbook. Del Res. Corp., St. Louis, Mo.
23.
Walsh, J. B. (1965). “The effect of cracks on the compressibility of rocks.” J. Geophysical Res., 70(2), 381–389.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 120Issue 12December 1994
Pages: 2678 - 2693

History

Received: Nov 23, 1993
Published online: Dec 1, 1994
Published in print: Dec 1994

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Authors

Affiliations

K. R. Shah, Student Member, ASCE
Res. Asst., Dept. of Civ. Engrg., Univ. of Minnesota, Minneapolis, MN 55455
J. F. Labuz, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Minnesota, Minneapolis, MN
H. K. Stolarski, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Minnesota, Minneapolis, MN

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