Branching instabilities in rapid fracture: Dynamics and geometry

TY - JOUR

T1 - Branching instabilities in rapid fracture

T2 - Dynamics and geometry

AU - Bouchbinder, Eran

AU - Mathiesen, Joachim

AU - Procaccia, Itamar

PY - 2005/5/1

Y1 - 2005/5/1

N2 - We propose a theoretical model for branching instabilities in 2-dimensional fracture, offering predictions for when crack branching occurs, how multiple cracks develop, and what is the geometry of multiple branches. The model is based on equations of motion for crack tips which depend only on the time dependent stress intensity factors. The latter are obtained by invoking an approximate relation between static and dynamic stress intensity factors, together with an essentially exact calculation of the static ones. The results of this model are in qualitative agreement with a number of experiments in the literature.

AB - We propose a theoretical model for branching instabilities in 2-dimensional fracture, offering predictions for when crack branching occurs, how multiple cracks develop, and what is the geometry of multiple branches. The model is based on equations of motion for crack tips which depend only on the time dependent stress intensity factors. The latter are obtained by invoking an approximate relation between static and dynamic stress intensity factors, together with an essentially exact calculation of the static ones. The results of this model are in qualitative agreement with a number of experiments in the literature.

UR - http://www.scopus.com/inward/record.url?scp=26944443790&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.71.056118

DO - 10.1103/PhysRevE.71.056118

M3 - Journal article

AN - SCOPUS:26944443790

SN - 2470-0045

VL - 71

JO - Physical Review E

JF - Physical Review E

IS - 5

M1 - 056118

ER -