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Shape and energies of a dynamically propagating crack under bending

Published online by Cambridge University Press:  03 March 2011

Dov Sherman  and
Ilan Be'ery
Dov Sherman
Affiliation:
Department of Materials Engineering, Technion-Israel Institute of Technology, Haifa, 32000, Israel
Ilan Be'ery
Affiliation:
Department of Materials Engineering, Technion-Israel Institute of Technology, Haifa, 32000, Israel
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Abstract

We report on the exact shape of a propagating crack in a plate with a high width/thickness ratio and subjected to bending deformation. Fracture tests were carried out with brittle solids—single crystal, polycrystalline, and amorphous. The shape of the propagating crack was determined from direct temporal crack length measurements and from the surface perturbations generated during rapid crack propagation. The shape of the crack profile was shown to be quarter-elliptical with a straight, long tail; the governing parameter of the ellipse axes is the specimen's thickness at most length of crack propagation. Universality of the crack front shape is demonstrated. The continuum mechanics approach applicable to two-dimensional problems was used in this three-dimensional problem to calculate the quasistatic strain energy release rate of the propagating crack using the formulations of the dynamic energy release rate along the crack loci. Knowledge of the crack front shape in the current geometry and loading configuration is important for practical and scientific aspects.

Type
Articles
Information
Journal of Materials Research , Volume 18 , Issue 10 , October 2003 , pp. 2379 - 2386
Copyright
Copyright © Materials Research Society 2003

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References

REFERENCES

1.Rooke, D.P. and Cartwright, D.J., Compendium of Stress Intensity Factors (Her Majesty's Stationary Office, London, U.K., 1976).Google Scholar
2.Tada, H., Paris, P., and Irwin, G., The Stress Analysis of Cracks Handbook (ASME Press, New York, 2000).CrossRefGoogle Scholar
3.Murakami, Y., Stress Intensity Factors Handbook (Pergamon Press, Oxford, U.K., 1987), Vols. 1 and 2.Google Scholar
4.Raju, I.S. and Newman, J.C., Jr., Eng. Fracture Mech. 11, 817 (1979).Google Scholar
5.Newman, J.C. Jr. and Raju, I.S., Eng. Fracture Mech. 15, 185 (1981).Google Scholar
6.Lin, X.B. and Smith, R.A., Eng. Fracture Mech. 63, 523 (1999).CrossRefGoogle Scholar
7.Fawaz, S.A., Eng. Fracture Mech. 63, 209 (1999).CrossRefGoogle Scholar
8.Kiciak, A., Glinka, G., and Ema, M., Eng. Fracture Mech. 60, 221 (1990).CrossRefGoogle Scholar
9.Freund, L.B., Dynamic Fracture Mechanics (Cambridge University Press, Cambridge, U.K., 1990).CrossRefGoogle Scholar
10.Stadler, B., Beguelin, P., and Kausch, H.H., Int. J. Frac. 22, R47 (1983).Google Scholar
11.Be'ery, I., Lev, U., and Sherman, D., J. Applied Phys. 93, 2429 (2003).CrossRefGoogle Scholar
12.Sherman, D. and Be'ery, I., Physica D 119, 424 (1998).CrossRefGoogle Scholar
13.Sherman, D. and Be'ery, I., Phys. Rev. Let. 80, 540 (1998).Google Scholar
14.Sherman, D. and Be'ery, I., J. Mat. Sci. 35, 1283 (2000).CrossRefGoogle Scholar
15.Rice, R.W., in Advances in Ceramics (The American Ceramic Society, Westerville, OH, 1986), Vol. 22, pp. 3–56.Google Scholar
16.Frechette, V.D., Failure Analysis of Brittle Materials, in Advances in Ceramics (The American Ceramic Society, Westerville, OH, 1990), Vol. 28.Google Scholar
17.Michalske, T.A., Singh, M., and Frechette, V.D., ASTM STP 745, edited by Freiman, W. and Fuller, E.R. (Philadelphia, PA, 1980), pp. 3–12.Google Scholar
18.Sharon, E., Cohen, G., and Fineberg, J., Nature 410, 68 (2001).CrossRefGoogle Scholar
19.Irwin, G.R., J. Appl. Mech. 24, 361 (1957).CrossRefGoogle Scholar
20.Cramer, T., Wanner, A., and Gumbsch, P., Z. Metallkd. 90, 675 (1999).Google Scholar
21.Cramer, T., Wanner, A., and Gumbsch, P., Phys. Rev. Lett. 85, 788, (2000).CrossRefGoogle Scholar
22.Hauch, J.A. and Marder, M.P., Int. J. Fracture 90, 133 (1998).CrossRefGoogle Scholar
23.Hauch, J.A., Holland, D., Marder, M.P., and Swinney, H.L., Phys. Rev. Lett. 82, 3823 (1999).CrossRefGoogle Scholar