Abstract
We study the problem of crack front segmentation into facets under mixed mode I + III loading. Discrete facet network nucleation is determined based on the match asymptotic expansion approach of the coupled criterion considering both the influence of T-stress (parallel to the initial crack front) and mode-dependent fracture properties. We show that considering exclusively either T-stress or mode dependent properties, facet nucleation may be more favorable than straight crack propagation but in conditions that are incompatible with experimental observations. It is only by coupling mode-dependent fracture properties with T-stress that we are able to determine configurations compatible with experimental observations for which facet nucleation is more likely to occur than straight crack propagation. These configurations depend on the T-stress magnitude and critical shear energy release rate. We thus highlight that crack front segmentation into facets is material and loading dependent phenomenon that is not related to a sole mode mixity threshold but also to T-stress magnitude and shear critical energy release rate.
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AD performed numerical simulations and drafted the manuscript. Dl helped with the matched asymptotic approach of the coupled criterion All authors developed the methodology, conceived of the study, and participated in its design, coordination, and critical review of the manuscript. All authors read and approved the final manuscript.
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Doitrand, A., Leguillon, D., Molnár, G. et al. Revisiting facet nucleation under mixed mode I + III loading with T-stress and mode-dependent fracture properties. Int J Fract 242, 85–106 (2023). https://doi.org/10.1007/s10704-023-00703-0
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DOI: https://doi.org/10.1007/s10704-023-00703-0