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Crack propagation from a preexisting flaw at a notch root
Institution:1. Laboratoire de modélisation en mécanique, université Pierre-et-Marie-Curie, tour 66, 4, place Jussieu,75005 Paris, France;2. Laboratoire de mécanique des solides, École polytechnique, route de Saclay, 91128 Palaiseau, France;1. Institut Jean Lamour, UMR CNRS-Université de Lorraine n°7198, ENSTIB, 27 rue Philippe Seguin, CS 60036, 88026 Epinal Cedex, France;2. Institut Jean Lamour, UMR CNRS-Université de Lorraine n°7198, CNRS 7198, 1 Bd. Arago, 57078 Metz, France;3. Institut de Science des Matériaux de Mulhouse, LRC CNRS 7228, Université de Haute Alsace, 15 rue Jean Starcky, 68057 Mulhouse, France;1. Sir Lawrence Wackett Aerospace Research Centre, School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Melbourne, Victoria 3001, Australia;2. Aerospace Division, Defence Science and Technology Organisation, 506 Lorimer Street, Fisherman׳s Bend, Victoria 3207, Australia;3. Directorate General Technical Airworthiness, Royal Australian Air Force, Australia
Abstract:We study crack kinking from a preexisting crack initiated at a notch root. This makes it necessary to evaluate the stress intensity factors at the tip of the initial crack, as a function of the “stress intensity factor of the notch” (the multiplicative coefficient of the singular stress field at the notch root in the absence of the crack), the length of the crack, the aperture angle of the notch and the angle between its bisecting line and the direction of the crack. Applying Goldstein and Salganik's well-known principle of local symmetry yields then the prediction of the kink angle of the crack extension. It is found that although the notch is always predominantly loaded in “mode I”, this angle is generally not large enough for the crack tip to get closer to the bisecting line of the notch.
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