TY - JOUR

T1 - Symmetric arrangements of cracks with perturbed symmetry

T2 - Extremal properties of perturbed configurations

AU - Abakarov, Abdulla

AU - Pronina, Yulia

AU - Kachanov, Mark

N1 - Publisher Copyright: © 2021 Elsevier Ltd

PY - 2022/2/1

Y1 - 2022/2/1

N2 - Perturbations of symmetric crack configurations produce mixed-mode conditions at crack tips, in cases of pure mode I (or II) conditions in unperturbed configurations. This may lead to the increase of stress intensity factors and energy release rates, so that their maximums are reached in somewhat perturbed configurations (even if the perturbations increase spacing between crack tips) thus making them energetically preferable. Тhe effect of perturbations on the direction of crack kinking is also examined, in particular, whether the kinking drives the crack system farther away from the original configuration or back towards it. These considerations may be related to the experimentally observed tendency of cracks to “avoid each other” Melin (1983). They also shed some light on the crack coalescence problems. Closed-form approximate expression for the maximal energy release rate at the crack kink tip is presented. The results of Panasiuk et al (1976), Cotterell and Rice (1980), and Amestoy and Leblond (1992) are also discussed.

AB - Perturbations of symmetric crack configurations produce mixed-mode conditions at crack tips, in cases of pure mode I (or II) conditions in unperturbed configurations. This may lead to the increase of stress intensity factors and energy release rates, so that their maximums are reached in somewhat perturbed configurations (even if the perturbations increase spacing between crack tips) thus making them energetically preferable. Тhe effect of perturbations on the direction of crack kinking is also examined, in particular, whether the kinking drives the crack system farther away from the original configuration or back towards it. These considerations may be related to the experimentally observed tendency of cracks to “avoid each other” Melin (1983). They also shed some light on the crack coalescence problems. Closed-form approximate expression for the maximal energy release rate at the crack kink tip is presented. The results of Panasiuk et al (1976), Cotterell and Rice (1980), and Amestoy and Leblond (1992) are also discussed.

KW - Crack interaction

KW - Energy release rate

KW - Kink angle

KW - Mixed mode

KW - Symmetry perturbation

UR - http://www.scopus.com/inward/record.url?scp=85120489231&partnerID=8YFLogxK

U2 - 10.1016/j.ijengsci.2021.103617

DO - 10.1016/j.ijengsci.2021.103617

M3 - Article

AN - SCOPUS:85120489231

VL - 171

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

M1 - 103617

ER -