Abstract
We propose a mathematical model of the fatigue growth of a plane crack in a three-dimensional body based on the best least-squares approximation of its moving contour by an ellipse. Unlike the traditional scheme, we use five parameters to characterize the location, orientation, and size of this ellipse. Differential relations for determining these parameters are obtained by considering the displacements of all points of the contour (treated equivalently) caused by crack growth.
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Additional information
Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences, L'viv. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 29, No. 5, pp. 52–56, September–October, 1993.
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Andreikiv, O.E., Darchuk, O.I. Investigation of plane crack growth in a three-dimensional body. Mater Sci 29, 485–489 (1994). https://doi.org/10.1007/BF00558769
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DOI: https://doi.org/10.1007/BF00558769