Abstract
The non-propagation condition of a sharp crack introduced in the root of a generic notch is investigated. Thus, pre-existing flaws near structural stress concentrations are advantageously treated in a unified manner, giving in the limit of vanishing notch radius the case of a crack in an unnotched component, and in the limit of vanishing crack length the classical engineering case of a notched, crack-free component. Particular focus is put on the limiting case of vanishing crack length. The results are compared with the classical engineering strength estimate following the nominal stress concept. It is shown that both concepts may, with minor differences, be brought into the same formal structure. The transition between notch-like and crack-like behaviour of notches is investigated in some detail, giving an accurate estimate for the transition between both regimes as well as reliable lower bounds for the fatigue strength in both regimes with special consideration of crack arrest effects in flawed components.
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Schedule a callMore From: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
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