Crack-microcrack interactions in dynamical fracture

Eran Bouchbinder, David Kessler, Itamar Procaccia

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We address the interaction of fast moving cracks in stressed materials with microcracks on their way, considering it as one possible mechanism for fluctuations in the velocity of the main crack (irrespective whether the microcracks are existing material defects or they form during the crack evolution). We analyze carefully the dynamics (in two space dimensions) of one macrocrack and one microcrack, and demonstrate that their interaction results in a large and rapid velocity fluctuation, in qualitative correspondence with typical velocity fluctuations observed in experiments. In developing the theory of the dynamical interaction we invoke an approximation that affords a reduction in mathematical complexity to a simple set of ordinary differential equations for the positions of the crack tips; we propose that this kind of approximation has a range of usefulness that exceeds the present context.

Original languageEnglish
Pages (from-to)7
Number of pages1
JournalPhysical Review E
Volume70
Issue number4
DOIs
StatePublished - 2004

Bibliographical note

Funding Information:
This work had been supported in part by the European Commission through a TMR grant and by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities.

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