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Computational Mechanics ’86 pp 1041–1046Cite as

Conical Crack Problem in Semi-Infinite Media with Stress-Free Boundary Conditions

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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.

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References

  1. 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.

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  2. Erdogan, F., Arm, K. : Penny-shaped crack in an elastic layer bonded to dissimilar half spaces. Int. J. Engng. Sci. 9 (1971) 213–232.

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  3. Parnas, K.L.: Conical crack in half-space with stress-free boundary conditions. M.Sc. Thesis, Middle East Technical University, Ankara, Turkey (1985).

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  4. Erdoğan, F., Gupta, G.D.: On the numerical solution of singular integral equations. Quart. Appl. Math. 30 (1972) 525–534.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Middle East Technical University, 06531, Ankara, Turkey

    O. S. Yahşi & L. Parnas

Authors
  1. O. S. Yahşi
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  2. L. Parnas
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Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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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

  • eBook Packages: Springer Book Archive

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