Summary
In this study an axially symmetric conical crack problem in semi-infinite media is considered. Stress-free boundary conditions are satisfied at the boundary of the half-space. By using Papkovich-Neuber functions and Hankel transform techniques the problem is reduced to a system of two singular integral equations which are then solved numerically. Numerical examples are given for a constant pressure and constant shear stress on the crack surface separately. The stress intensity factors are evaluated and presented for various crack geometries and Poisson’s ratios.
Keywords
- Stress Intensity Factor
- Singular Integral Equation
- Constant Shear Stress
- Normalize Stress Intensity Factor
- Conical Crack
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References
Kuz’min, Iu. N., Ufluand, la. S.: Axisymmetric problem in the theory of elasticity for a half-space weakened by a plane circular crack. PMM 29 (1965) 1130–1136.
Erdogan, F., Arm, K. : Penny-shaped crack in an elastic layer bonded to dissimilar half spaces. Int. J. Engng. Sci. 9 (1971) 213–232.
Parnas, K.L.: Conical crack in half-space with stress-free boundary conditions. M.Sc. Thesis, Middle East Technical University, Ankara, Turkey (1985).
Erdoğan, F., Gupta, G.D.: On the numerical solution of singular integral equations. Quart. Appl. Math. 30 (1972) 525–534.
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© 1986 Springer Japan
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Yahşi, O.S., Parnas, L. (1986). Conical Crack Problem in Semi-Infinite Media with Stress-Free Boundary Conditions. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_150
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DOI: https://doi.org/10.1007/978-4-431-68042-0_150
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-68044-4
Online ISBN: 978-4-431-68042-0
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