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Penny-shaped crack bridged by fibres. (English) Zbl 0960.74058
Summary: We consider the axi-symmetric problem for a penny-shaped crack bridged by fibres. The study is reduced to the analysis of a hypersingular integral equation with respect to the relative crack-face separation over a circular domain occupied by the crack. The special case of a large crack subjected to mode-I loading is examined. We use the matched asymptotic expansion technique to estimate the stress intensity factor at the crack edge, and to evaluate the magnitude of the applied load which provides the critical opening for failure of fibres at the centre of the crack.

MSC:
74R10 Brittle fracture
74G70 Stress concentrations, singularities in solid mechanics
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics
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