Stress distribution in a long circular cylinder containing an elliptical crack

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 77, Issue 9, 1997, Pages 701-709

  Lee, Doo Sung ^a  

^a Konkuk University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744445014     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.19970770909     Document Type: Article

References (16)

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2. SNEDDON, I. N.; TAIT, R. J.: The effect of a penny-shaped crack on the distribution of stress in a long circular cylinder. Int. J. Engng. Sci. 1 (1963), 391-409.
3. SNEDDON, I. N.; WELCH, J. T.: A note on the distribution of stress in a cylinder containing a penny-shaped crack. Int. J. Engng. Sci. 1 (1963), 411-419.
4. TCHUCHIDA, E.; UCHIYAMA, T.: Stresses in an elastic circular cylinder with an oblate spheroidal cavity or an internal pennyshaped crack under tension. Bull. J. S. M. E. 23, No. 175 (1980), 1-8.
5. LEE, D.-S.: Stress around an elliptical crack in an elastic plate. Quart. J. Mech. Appl. Math. 46 (1993) 3, 487-500.
6. LEE, D.-S.: Elliptical crack in a finite-thickness plate subject to shear loading. Proc. R. Soc. London A 452 (1996), 63-79.
7. MUKI, R.: Asymmetric problems of the theory of elasticity for a semi-infinite solid and a thick plate. Progress in solid mechanics. Vol. 1. North-Holland Publ. Co., Amsterdam 1960, pp. 402-439.
8. GREEN, A. E.; ZERNA, W.: Theoretical elasticity. New York, Oxford Univ. Press 1954.
9. ERDÉLYI, A.; MAGNUS, W.; OBERHETTINGER, F.; TRICOMI, F. G.: Tables of integral transforms. Vol. 1. McGraw-Hill, New York 1954, p. 11.
10. WATSON, G. N.: A treatise on the theory of Bessel functions. Cambridge 1966.
11. COPSON, E. T.: Proc. Edinburgh Math. Soc. (2), 8 (1947), 14.
12. WANG, G. R.: A generalized solution for the crack surface displacement of mode I two-dimensional part-elliptical crack. Int. J. Frac. 59 (1993), 161-187.
13. LUR'E, A. I.: Three-dimensional problems of the theory of elasticity. Interscience Publisher 1964.
14. BYRD, P. F.; FRIEDMAN, M. D.: Handbook of elliptic integrals. 2nd ed. Springer-Verlag 1971.
15. WHITTAKER, E. T.; WATSON, G. N.: Modern analysis. Cambridge Univ. Press, Cambridge 1973.
16. KASSIR, M. K.; SIH, G. S.: Three-dimensional stress distribution around elliptical crack under arbitrary loadings. J. Appl. Mech. 33, n. 3, Trans. A.S.M.E. 88, Series E, Sept. (1966), 601-611.