Conclusions
Singular integral equations have been applied to the quasistatic growth of an edge crack in an isotropic elastic half-plane when an arbitrary non-self-balancing load is applied to the edges, and in particular when one of the edges is subject to a localized force. The path has been constructed in a step fashion on the basis of the stress redistribution during crack growth. The singular integral equations are solved by mechanical quadrature.
The paths and the stress intensity coefficients along them have been calculated for cases where one of the edges of a crack initially perpendicular to the boundary is, acted on by a constant normal pressure or normal localized force. The direction of the crack increment is derived from the criterion for maximal circumferential stresses.
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Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 27, No. 4, pp. 53–59, July–August, 1991.
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Datsishin, O.P., Marchenko, G.P. Quasistatic edge crack growth with non-self-balancing stresses at the edges. Mater Sci 27, 379–385 (1992). https://doi.org/10.1007/BF00723229
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DOI: https://doi.org/10.1007/BF00723229