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University of Cambridge > Engineering Department > MMD > Mechanics Colloquia

Mechanics Colloquia

An occasional cross-disciplinary seminar series
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Abstracts

Theory of crack front waves

J.R. Willis
DAMTP


Crack front waves are disturbances that propagate without attenuation along the edge of a propagating crack. They have a role in the development of crack front disorder during propagation through material containing small heterogeneity. They were observed in computer experiments by J R Rice and their existence was confirmed analytically by Ramanathan and Fisher, from an analytic solution produced by Movchan and Willis for the stress produced when a crack front is dynamically perturbed. Their existence has also been confirmed experimentally by E Sharon. The talk will outline the solution of Movchan and Willis, and describe recent extensions to deal with viscoelastic material response. When viscoelastic damping is small, perturbation theory can be employed to estimate the rate of decay of the wave. Such decay has been observed in experiments on PMMA by Sharon but quantitative evaluation has not yet been performed.

The waves observed and analysed to date have been for crack propagation under Mode I (opening mode) loading. An investigation is under way of the corresponding problem for propagation under loading in Modes II and III (shear modes). Preliminary results suggest that crack front waves exist for some but not all crack speeds and mode mixity. These results will be presented. They are surprising and feedback from the audience will be welcomed.

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