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Phase Field Modeling of Fast Crack Propagation

Robert Spatschek·Miks Hartmann·Efim Brener·Heiner Mueller-Krumbhaar·Klaus Kassner
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Abstract

We present a continuum theory which predicts the steady state propagation of cracks. The theory overcomes the usual problem of a finite time cusp singularity of the Grinfeld instability by the inclusion of elastodynamic effects which restore selection of the steady state tip radius and velocity. We developed a phase field model for elastically induced phase transitions; in the limit of small or vanishing elastic coefficients in the new phase, fracture can be studied. The simulations confirm analytical predictions for fast crack propagation.

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Robert Spatschek, Miks Hartmann, Efim Brener, Heiner Mueller-Krumbhaar, Klaus Kassner. 2005-08-23. Phase Field Modeling of Fast Crack Propagation. https://doi.org/10.1103/physrevlett.96.015502

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