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Planar cracks running along piecewise linear paths

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Oleaga Apadula, Gerardo Enrique and Herrero, Miguel A. and Velázquez, J.J. L. (2004) Planar cracks running along piecewise linear paths. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 460 (2042). pp. 581-601. ISSN 1364-5021

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Official URL: http://rspa.royalsocietypublishing.org/content/460/2042/581.full.pdf+html?sid=4f9cd075-fe4b-40fc-8403-e0362f9ed75a




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.


Item Type:Article
Uncontrolled Keywords:Fracture dynamics; Wave propagation; Linear elasticity; Asymptotic behaviour of solutions; Stress intensity factors; Situations; Expansion; Form
Subjects:Sciences > Mathematics > Functions
ID Code:17211
Deposited On:27 Nov 2012 08:58
Last Modified:12 Dec 2018 15:07

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