Abstract
A simple, yet effective solution is derived to the problem of a penny-shaped crack, whose faces are bridged by fibers, and subjected to normal loading. The mathematical apparatus developed by the author earlier (Fabrikant, 1989, 1991) is used to reduce the governing integral equation to a sequence of integrals of elementary functions, which can be easily solved by the method of collocations. The case of uniform loading is considered as an example. The accuracy of the obtained solution is rigorously verified by different criteria.
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Fabrikant, V. A simple solution of the bridged crack problem . Z. angew. Math. Phys. 55, 121–135 (2004). https://doi.org/10.1007/s00033-003-1013-3
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DOI: https://doi.org/10.1007/s00033-003-1013-3