PMID: 11909175Mar 23, 2002Paper

Fracture in mode I using a conserved phase-field model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L O EastgateC R Myers

Abstract

We present a continuum phase-field model of crack propagation. It includes a phase-field that is proportional to the mass density and a displacement field that is governed by linear elastic theory. Generic macroscopic crack growth laws emerge naturally from this model. In contrast to classical continuum fracture mechanics simulations, our model avoids numerical front tracking. The added phase-field smooths the sharp interface, enabling us to use equations of motion for the material (grounded in basic physical principles) rather than for the interface (which often are deduced from complicated theories or empirical observations). The interface dynamics thus emerges naturally. In this paper, we look at stationary solutions of the model, mode I fracture, and also discuss numerical issues. We find that the Griffith's threshold underestimates the critical value at which our system fractures due to long wavelength modes excited by the fracture process.

References

Sep 16, 2000·Physical Review Letters·I S AransonV M Vinokur
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K KassnerP Kohlert
Jul 20, 2001·Physical Review Letters·A KarmaH Levine

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Citations

Sep 28, 2004·Physical Review Letters·Hervé Henry, Herbert Levine
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V I Marconi, E A Jagla
Feb 21, 2006·Physical Review Letters·Robert SpatschekKlaus Kassner
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Leonid S Metlov
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M FleckE A Brener
Sep 21, 2011·Physical Review Letters·Alexei Boulbitch, Alexander L Korzhenevskii
May 8, 2019·International Journal for Numerical Methods in Biomedical Engineering·Rilin ShenGal Dahan
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Leonid S Metlov
Mar 22, 2014·Reports on Progress in Physics·Eran BouchbinderJay Fineberg
Mar 16, 2021·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·A-A GabrielM Dumbser
May 24, 2011·Physical Review Letters·Leonid S Metlov
Mar 16, 2007·Physical Review Letters·D PilipenkoH Müller-Krumbhaar
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R SpatschekB Nestler
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Efim A Brener, Robert Spatschek

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