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Influence of initial stress on fracture of a halfspace containing a penny-shaped crack under radial shear

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Abstract

In this study, an axisymmetrical problem for a penny-shaped crack under radial shear is considered. The crack is located parallel to the surface of a halfspace, which is subjected to initial stress parallel to the crack plane. An approach proposed by Guz (1983) in the framework of the three-dimensional linearised solid mechanics is used. Analysis involves reducing the problem to a system of Fredholm integral equations of the second kind, where the solutions are identified with harmonic potential functions. The representations of the stress intensity factors K I and K II near the crack edges are obtained. These stress intensity factors are both influenced by the initial stress.

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Nazarenko, V., Bogdanov, V. & Altenbach, H. Influence of initial stress on fracture of a halfspace containing a penny-shaped crack under radial shear. International Journal of Fracture 104, 273–287 (2000). https://doi.org/10.1023/A:1007649801220

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  • DOI: https://doi.org/10.1023/A:1007649801220

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