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Model for Contact of Crack Boundaries in a Bending Plate

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Abstract

Closed cracks in a bending plate are studied in a two-dimensional formulation based on the Kirchhoff theory and the theory of the two-dimensional stressed state. A generalization of the end contact model is discussed which makes it possible formulate a geometrically linear contact bending problem for a plate with a rectilinear cut including the interaction of symmetric and antisymmetric deformation modes. A procedure for reducing the problem to a system of singular integral equations is described. An example of the calculations is given.

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  1. Ivano-Frankovsk Branch of the Institute of Applied Mechanical Problems and Mathematics, National Academy of Sciences of Ukraine, Ukraine

    I. P. Shatskii

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  1. I. P. Shatskii
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Shatskii, I.P. Model for Contact of Crack Boundaries in a Bending Plate. Journal of Mathematical Sciences 103, 357–362 (2001). https://doi.org/10.1023/A:1011366312923

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  • DOI: https://doi.org/10.1023/A:1011366312923

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