Planar cracks running along piecewise linear paths
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2004
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Royal Society of London
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Herrero García, M. A., Oleaga Apadula, G. E., Velázquez, J. J. L. «Planar Cracks Running along Piecewise Linear Paths». Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, vol. 460, n.o 2042, febrero de 2004, pp. 581-601. DOI.org (Crossref), https://doi.org/10.1098/rspa.2003.1173.
Abstract
Consider a crack propagating in a plane according to a loading that results in anti-plane shear deformation. We show here that if the crack path consists of two straight segments making an angle psi not equal 0 at their junction, examples can be provided for which the value of the stress-intensity factor (SIF) actually depends on the previous history of the motion. This is in sharp contrast with the rectilinear case (corresponding to psi = 0), where the SIF is known to have a local character, its value depending only on the position and velocity of the crack tip at any given time.