Roughening of a propagating planar crack front

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© 2000 American Physical Society (APS). This is the accepted version of the following article: Åström, J. A. & Alava, Mikko J. & Timonen, J. 2000. Roughening of a propagating planar crack front. Physical Review E. Volume 62, Issue 2. 2878-2881. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.62.2878, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.62.2878.
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School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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2878-2881

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Physical Review E, Volume 62, Issue 2

Abstract

A numerical model of the front of a planar crack propagating between two connected elastic plates is investigated. The plates are modeled as square lattices of elastic beams. The plates are connected by similar but breakable beams with a randomly varying stiffness. The crack is driven by pulling both plates at one end in Mode I at a constant rate. We find ζ=1/3, z=4/3, and β=1/4 for the roughness, dynamical, and growth exponents, respectively, that describe the front behavior. This is similar to continuum limit analyses based on a perturbative stress-intensity treatment of the front [H. Gao and J. R. Rice, J. Appl. Mech. 56, 828 (1989)]. We discuss the differences to recent experiments.

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Åström, J. A. & Alava, Mikko J. & Timonen, J. 2000. Roughening of a propagating planar crack front. Physical Review E. Volume 62, Issue 2. 2878-2881. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.62.2878.