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Fracture of a half-space compressed along a penny-shaped crack located at a short distance from the surface

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Non-classical problems of fracture mechanics for a half-space with a crack located at a short distance from the free surface are solved. An axisymmetric problem for a penny-shaped crack is considered. A numerical analysis is performed for materials with harmonic and Bartenev–Khazanovich potentials in the case of unequal roots of the characteristic equation. This case is similar in mathematical structure of the equations to the case of equal roots in the classical theory of isotropic elasticity. The numerical results are tabulated and analyzed

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057

    M. V. Dovzhik

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  1. M. V. Dovzhik
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Correspondence to M. V. Dovzhik.

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Translated from Prikladnaya Mekhanika, Vol. 48, No. 3, pp. 79–88, May–June 2012.

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Dovzhik, M.V. Fracture of a half-space compressed along a penny-shaped crack located at a short distance from the surface. Int Appl Mech 48, 294–304 (2012). https://doi.org/10.1007/s10778-012-0521-2

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  • DOI: https://doi.org/10.1007/s10778-012-0521-2

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