Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Relation between driving energy, crack shape, and speed in brittle dynamic fracture
AU - Parisi, Andrea
AU - Ball, Robin C.
PY - 2005/8/1
Y1 - 2005/8/1
N2 - We report results on the interrelation between driving force, roughness exponent, branching, and crack speed in a finite element model. We show that for low applied loadings the crack speed reaches the values measured in the experiments, and the crack surface roughness is compatible with logarithmic scaling. At higher loadings, the crack speed increases, and the crack roughness exponent approaches the value measured at short length scales in experiments. In the case of high anisotropy, the crack speed is fully compatible with the values measured in experiments on anisotropic materials, and we are able to interpret explicitly the results in terms of the efficiency function introduced by us in our previous work. The mechanism which leads to the decrease of crack speed and the appearence of the logarithmic scaling is attempted branching, while power law roughness develops when branches succeed in growing to macroscopic size.
AB - We report results on the interrelation between driving force, roughness exponent, branching, and crack speed in a finite element model. We show that for low applied loadings the crack speed reaches the values measured in the experiments, and the crack surface roughness is compatible with logarithmic scaling. At higher loadings, the crack speed increases, and the crack roughness exponent approaches the value measured at short length scales in experiments. In the case of high anisotropy, the crack speed is fully compatible with the values measured in experiments on anisotropic materials, and we are able to interpret explicitly the results in terms of the efficiency function introduced by us in our previous work. The mechanism which leads to the decrease of crack speed and the appearence of the logarithmic scaling is attempted branching, while power law roughness develops when branches succeed in growing to macroscopic size.
U2 - 10.1103/PhysRevB.72.054101
DO - 10.1103/PhysRevB.72.054101
M3 - Journal article
AN - SCOPUS:34347272149
VL - 72
JO - Physical review B
JF - Physical review B
SN - 1098-0121
IS - 5
M1 - 054101
ER -