PSI - Issue 66

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2025) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2025) 000 – 000

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Procedia Structural Integrity 66 (2024) 148–152

8th International Conference on Crack Paths The Effect of Two-dimensional Crack-tip Constraint on Crack Paths Yu.G. Matvienko a *, A. M. Pokrovskii b a Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 M. Kharitonievsky Per., Moscow 101000, Russia b Bauman Moscow State Technical University. 2-ya Baumanskaya ul., 5, Moscow 105005, Russia Abstract The present paper deals with the effect of two-dimensional constraint parameters, based on the nonsingular T-stresses which are included in the asymptotic stress field ahead of the crack front, on crack paths. In the case of the asymptotic elastic stress field according to Williams, the nonsingular T xx - and T zz -stresses characterize two-dimensional constraint in the transverse ( Т xx ) and longitudinal ( Т zz ) directions along the crack front in three-dimensional solids. The fracture criterion and the crack path prediction for a mixed mode I/II loading conditions are based on the maximum tangential stress (MTS) which should be equal to the local strength in the fracture process zone ahead of the crack front. It is shown that in the case of the MTS criterion taking into account two-dimensional constraint parameters, dependence of the crack inclined angle on the crack path for thick plates is stronger, then the MTS criterion including only the Т xx -stress is employed. © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of CP 2024 Organizers Keywords: Crack-tip constraint; nonsingular T xx and T zz ; mixed I/II mode crack; carck path 1. Introduction There are two basic approaches in a search of the crack path, namely, incremental methods associated with local criterion and integral (or global) approach of fracture mechanics which was disused by Matvienko and Morozov (2017). Incremental methods are widely spread and connected with the estimation of a fracture angle between directions of the initial crack propagation and succeeding crack increment. It means that each small load increment causes a correspondent increase of the crack size. An angle of crack growth can be computed by means of some 8th International Conference on Crack Paths The Effect of Two-dimensional Crack-tip Constraint on Crack Paths Yu.G. Matvienko a *, A. M. Pokrovskii b a Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 M. Kharitonievsky Per., Moscow 101000, Russia b Bauman Moscow State Technical University. 2-ya Baumanskaya ul., 5, Moscow 105005, Russia Abstract The present paper deals with the effect of two-dimensional constraint parameters, based on the nonsingular T-stresses which are included in the asymptotic stress field ahead of the crack front, on crack paths. In the case of the asymptotic elastic stress field according to Williams, the nonsingular T xx - and T zz -stresses characterize two-dimensional constraint in the transverse ( Т xx ) and longitudinal ( Т zz ) directions along the crack front in three-dimensional solids. The fracture criterion and the crack path prediction for a mixed mode I/II loading conditions are based on the maximum tangential stress (MTS) which should be equal to the local strength in the fracture process zone ahead of the crack front. It is shown that in the case of the MTS criterion taking into account two-dimensional constraint parameters, dependence of the crack inclined angle on the crack path for thick plates is stronger, then the MTS criterion including only the Т xx -stress is employed. © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of CP 2024 Organizers Keywords: Crack-tip constraint; nonsingular T xx and T zz ; mixed I/II mode crack; carck path 1. Introduction There are two basic approaches in a search of the crack path, namely, incremental methods associated with local criterion and integral (or global) approach of fracture mechanics which was disused by Matvienko and Morozov (2017). Incremental methods are widely spread and connected with the estimation of a fracture angle between directions of the initial crack propagation and succeeding crack increment. It means that each small load increment causes a correspondent increase of the crack size. An angle of crack growth can be computed by means of some © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of CP 2024 Organizers

* Corresponding author. Tel.: +7-499-135-1204. E-mail address: ygmatvienko@gmail.com * Corresponding author. Tel.: +7-499-135-1204. E-mail address: ygmatvienko@gmail.com

2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of CP 2024 Organizers 2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of CP 2024 Organizers

2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of CP 2024 Organizers 10.1016/j.prostr.2024.11.064