Elastic Anisotropy Effect of Crystals on Polycrystal Fatigue Crack Initiation

Author:

Teng N. J.1,Lin T. H.1

Affiliation:

1. Department of Civil and Environmental Engineering, University of California, Los Angeles, Los Angeles, CA 90024

Abstract

Fatigue bands have been observed in both monocrystalline and polycrystalline metals. Extrusions and intrusions at the free surface of fatigued specimens are favorable sites for fatigue crack nucleation. Previous studies (Lin and Ito, 1969; Lin, 1992) mainly concerned the fatigue crack initiation in aluminum and its alloys. The elastic anisotropy of individual crystals of these metals is insignificant and was accordingly neglected. However, the anisotropy of the elastic constants of some other metallic crystals, such as titanium and some intermetallic compounds, is not negligible. In this paper, the effect of crystal anisotropy is considered by using Eshelby’s equivalent inclusion method. The polycrystal analyzed is Ni3Al intermetallic compound. The plastic shear strain distributions and the cumulative surface plastic strain in the fatigue band versus the number of loading cycles were calculated, and the effect of crystal anisotropy on the growth of the extrusions was examined.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference18 articles.

1. Antonopoulos J. G. , BrownL. M., and WinterA. T., 1976, “Vacancy Dipoles in Fatigued Copper,” Philosophical Magazine, Vol. A34, pp. 549–563.

2. Charsley P. , and ThompsonN., 1963, “The Behavior of Slip Lines on Aluminum Crystals under Reversed Stresses in Tension and Compression,” Philosophical Magazine, Vol. 8, pp. 77–85.

3. Eshelby J. D. , 1957, “The Determination of the Elastic Field of an Ellipsoid, and related Problems,” Proc. Roy. Soc., Vol. A241, pp. 376–396.

4. Eshelby, J. D., 1961, “Elastic Inclusions and Inhomogeneities,” Progress in Solid Mechanics 2, I. N. Snedden and R. Hill, eds., North-Holland, Amsterdam, pp. 89–140.

5. Forsyth P. J. E. , 1954, “Some Further Observations on the Fatigue Process in Pure Aluminum,” J. Inst. Met., Vol. 82, pp. 449–454.

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