Models for Dynamic Fracture Based on Griffith’s Criterion

  • Christopher J. Larsen
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 21)


There has been much recent progress in extending Griffith’s criterion for crack growth into mathematical models for quasi-static crack evolution that are well-posed, in the sense that there exist solutions that can be numerically approximated. However, mathematical progress toward dynamic fracture (crack growth consistent with Griffith’s criterion, together with elastodynamics) has been more meager. We describe some recent results on a phase-field model of dynamic fracture, and introduce models for “sharp interface” dynamic fracture.


Elastic Energy Dynamic Fracture Evolution Problem Maximal Dissipation Crack Increment 
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© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of Mathematical SciencesWorcester Polytechnic InstituteWorcesterUSA

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