Elastic Field of Internal Circular Crack Subjected to Linear Shear Loading
Publication: Journal of Engineering Mechanics
Volume 119, Issue 7
Abstract
A complete closed‐form solution in terms of elementary functions is given for the first time to the title problem. Explicit expressions are derived for the fields of stresses and displacements in both transversely isotropic and isotropic space weakened by a penny‐shaped crack and subjected to a shear loading with a magnitude being a linear function of coordinates and . The stress intensity factors for mixed mode II and III loading have been evaluated. The method is based on the new results in potential theory obtained recently.
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References
1.
Chen, W. T. (1966). Some aspects of a flat elliptical crack under shear stress.” J. Math. Phys., 45, 213–223.
2.
Elliott, H. A. (1948). “Three‐dimensional stress distributions in hexagonal aeolotropic crystals.” Proc. Cambridge Phil. Soc., 44, 522–533.
3.
Elliott, H. A. (1949). “Axial symmetric stress distributions in aeolotropic hexagonal crystals. The problem of the plane and related problems.” Proc. Cambridge Phil. Soc., 45, 621–630.
4.
Fabrikant, V. I. (1989). Applications of potential theory in mechanics. Selection of new results. Kluwer Academic Publishers, Norwell, Mass.
5.
Kassir, M. K., and Sih, G. C. (1975). Three‐dimensional crack problems. Noordhoff Int. Publishing, Leyden, the Netherlands.
6.
Sack, R. A. (1946). “Extension of Griffith's theory of rupture to three dimensions.” Proc. Phys. Soc., 58, 729–736.
7.
Sneddon, I. N. (1951). Fourier transforms. McGraw‐Hill, New York, N.Y.
8.
Westman, R. A. (1965). “Asymmetric mixed boundary‐value problems of the elastic half‐space.” J. Appl. Mech. Trans. ASME, 32, 411–417.
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Published In
Journal of Engineering Mechanics
Volume 119 • Issue 7 • July 1993
Pages: 1314 - 1330
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Apr 20, 1992
Published online: Jul 1, 1993
Published in print: Jul 1993
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