PSI - Issue 68

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

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 68 (2025) 9–15

European Conference on Fracture 2024 The brittle fracture of bodies with partially healed surface cracks Ivan Shatskyi*, Vasyl Perepichka, Taras Dalyak Laboratory of modelling of damping systems, Institute for Applied Problems in Mechanics and Mathematics, NAS of Ukraine, 3, Mykytynetska Str., Ivano-Frankivsk, 76002, Ukraine Abstract The express methodology for assessing the strength of a body with a partially healed crack is used for modeling the renovation of bodies with surface defects. We adopted the hypothesis that the elastic properties of the body with a partially healed crack are preserved. However, the specific surface energy of separation of surfaces is different from that in a solid body. Thus, we came to the problem of mechanics of crack in a semi-infinite body homogeneous in terms of elastic properties and heterogeneous in terms of crack resistance. In analytical and numerical form, quantitative estimates of healing efficiency are established depending on three parameters: degree of filling of cracks, crack resistance of the newly formed interface, mutual location of surface cracks. In particular, it is shown that body restoration near the surface is better than healing near the defect vertices. © 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) 1. Introduction Modern technologies for healing defects are a productive means of extending the life of structures of long-term use. Such operations are often used in various industries both to strengthen new parts of machines and structures during their manufacture, and to restore worn working surfaces with acquired defects. However, in cases of partial restoration of the integrity of bodies, the problem of assessing a significant concentration of stresses on the banks of defects and determining the ultimate strength for the composition obtained as a result of restoration remains relevant. Methods of calculating the residual service life of parts with defects healed by injection technologies are European Conference on Fracture 2024 The brittle fracture of bodies with partially healed surface cracks Ivan Shatskyi*, Vasyl Perepichka, Taras Dalyak Laboratory of modelling of damping systems, Institute for Applied Problems in Mechanics and Mathematics, NAS of Ukraine, 3, Mykytynetska Str., Ivano-Frankivsk, 76002, Ukraine Abstract The express methodology for assessing the strength of a body with a partially healed crack is used for modeling the renovation of bodies with surface defects. We adopted the hypothesis that the elastic properties of the body with a partially healed crack are preserved. However, the specific surface energy of separation of surfaces is different from that in a solid body. Thus, we came to the problem of mechanics of crack in a semi-infinite body homogeneous in terms of elastic properties and heterogeneous in terms of crack resistance. In analytical and numerical form, quantitative estimates of healing efficiency are established depending on three parameters: degree of filling of cracks, crack resistance of the newly formed interface, mutual location of surface cracks. In particular, it is shown that body restoration near the surface is better than healing near the defect vertices. © 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 ECF24 Organizers Keywords: elastic body, surface crack, partial healing, fracture 1. Introduction Modern technologies for healing defects are a productive means of extending the life of structures of long-term use. Such operations are often used in various industries both to strengthen new parts of machines and structures during their manufacture, and to restore worn working surfaces with acquired defects. However, in cases of partial restoration of the integrity of bodies, the problem of assessing a significant concentration of stresses on the banks of defects and determining the ultimate strength for the composition obtained as a result of restoration remains relevant. Methods of calculating the residual service life of parts with defects healed by injection technologies are © 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 ECF24 organizers Peer-review under responsibility of ECF24 Organizers Keywords: elastic body, surface crack, partial healing, fracture

* Corresponding author. Tel.:+380-99-444-4967; fax: +380-342- 547-139. E-mail address: ipshatsky@gmail.com. * Corresponding author. Tel.:+380-99-444-4967; fax: +380-342- 547-139. E-mail address: ipshatsky@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 ECF24 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 ECF24 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 ECF24 organizers 10.1016/j.prostr.2025.06.016