Role of surface waves on the relation between crack speed and the work of fracture

Parisi, Andrea and Ball, Robin C. (2002) Role of surface waves on the relation between crack speed and the work of fracture. Physical review B, 66 (16). pp. 1654321-16543212. ISSN 0163-1829

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Abstract

We show that the delivery of fracture work to the tip of an advancing planar crack is strongly reduced by surface phonon emission, leading to forbidden ranges of crack speed. The emission can be interpreted through dispersion of the group velocity, and Rayleigh and Love branches contribute as well as other high frequency branches of the surface wave dispersion relations. We also show that the energy release rate which enters the Griffith criterion for the crack advance can be described as the product of the continuum solution with a function that only depends on the lattice geometry and describes the lattice influence on the phonon emission. Simulations are performed using a new finite element model for simulating elasticity and fractures. The model, built to allow fast and very large three-dimensional simulations, is applied to the simplified case of two-dimensional samples.

Item Type: Journal Article
Journal or Publication Title: Physical review B
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3104
Subjects:
Departments: Faculty of Health and Medicine > Medicine
ID Code: 124923
Deposited By: ep_importer_pure
Deposited On: 27 Apr 2018 09:18
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 11:17
URI: https://eprints.lancs.ac.uk/id/eprint/124923

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