Elliptical crack in a finite-thickness plate subject to shear loading

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 452, Issue 1944, 1996, Pages 63-79

  Lee, Doo Sung ^a  

^a Konkuk University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746742359     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1996.0004     Document Type: Article

References (22)

1. Byrd, P. F. & Friedman, M. D. 1971 Handbook of elliptic integrals, 2nd edn. Berlin: Springer.
2. Dyson, F. W. 1891 The potentials of ellipsoids of variable densities. Q. Jl pure appl. Math. 25, 259-288.
3. Erdélyi, A. et al 1954 Tables of integral transforms. New York: McGraw-Hill.
4. Eshelby, J. D. 1959 The elastic field outside an ellipsoidal inclusion. Proc. R. Soc. Land. A 252, 561-569.
5. Ferrers, N. M. 1877, On the potentials of ellipsoids, ellipsoidal shells, elliptic laminae, and elliptic rings of variable densities. Q. Jl pure appl. Math. 14, 1-22.
6. Green, A. E. i: Zerna, W. 1954 Theoretical elasticity. New York: Oxford University Press.
7. Isida, M. & Noguchi, H. 1984 Tension of a plate containing an embedded elliptical crack. Engng Fract. Mech. 20, 387-408.
8. Kassir, M. K. & Sih, G. S. 1966 Three-dimensional stress distribution around an elliptical crack under arbitrary loadings. J. appl. Mech. 33; Trans. Am. Soc. mech. Engrs E 88, 601-611.
9. Kuo, A.-K., Shvarts, S. & Stonesifter, R. B. 1992 An analytical solution for an elliptical crack in a flat plate subjected to arbitrary loading. ASTM STP 1131, vol. 2, pp. 347-367.
10. Lee, D.-S. 1993a Stress around an elliptical crack in an elastic plate. Q. Jl Mech. appl. Math. 46, 487-500.
11. Lee, D.-S. 19936 Stress analysis of a stretched slab having a spherical cavity under unidirectional tension. Int. J. Solid Struct. 30, 2707-2727.
12. Lur'e, A. I. 1964 Three-dimensional problems of the theory of elasticity. New York: Interscience.
13. Nishioka, T. fc Atluri, S. N. 1983 Analytical solution for embedded elliptical cracks, and finite element alternating method for elliptical surface cracks subjected to arbitrary loadings. Engng Fract. Mech. 17, 247-268
14. Roy, A. 1984 Diffraction of elastic waves by an elliptic crack. Int. J. Engng. Sci. 22, 729-739.
15. Roy, A. 1987 Diffraction of elastic waves by an elliptic crack. II. Int. J. Engng. Sci. 25, 155-1G9.
16. Segedin, C. M. 1950 A penny-shaped crack under shear. Proc. Camb. phil. Soc. 47.
17. Segedin, C. M. 1967 Some three-dimensional mixed boundary value problems in elasticiy. Report, Department of Aeronautics and Astronautics, University of Washington, Seattle.
18. Shah, R. C. & Kobayashi, A. S. 1974 Elliptical crack in a finite-thickness plate subjected to tensile and bending loading. Trans. Am. Soc. mech. Engrs: J. Pressure Vessel Technol. 96, 47-54.
19. Smith, F. W. & Sorensen, D. R. 1974 The elliptical crack subjected to nonuniform shear loading. J. appl. Mech. 41; Trans. Am. Soc. mech. Engrs E 96, 502-506.
20. Watson, G. N. 1966 A treatise on the theory of Bessel functions. Cambridge University Press.
21. Westmann, R. A. 1965 Asymmetric mixed boundary value-problem of the elastic half-space. J. appl. Mech. 32; Trans. Am. Soc. mech. EngrsE87, 411-417.
22. Whittaker, E. T. & Watson, G. N. 1973 Modern analysis. Cambridge University Press.