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) 126–131

European Conference on Fracture 2024 Failure criterion for thread-like fibers in a thermoelastic medium Oleh Yashiy a, *, Andrii Korniichuk b , Iryna Didych a , Dmytro Tymoshchuk a , Iaroslav Pasternak b a Ternopil Ivan Puluj National Technical University, Ruska Str 56, Ternopil, Ukraine b Lesya Ukrainka Volyn National University, Voli Avenue 13, Lutsk, Ukraine Abstract The paper introduces fracture criteria for thermoelastic solids containing deformable thread-like inhomogeneities. It revisits previously introduced models of these inhomogeneities, which reduce the problem to studying specific influence functions distributed along a spatial curve. This approach reduces the number of degrees of freedom in the problem and provides a more compact solution. The paper focuses on the fracture behavior of such inhomogeneous materials under three distinct mechanisms: (a) fracture of the inhomogeneity, (b) its debonding, and (c) fracture initiation near its tip. The mathematical formulations for these criteria are provided, and numerical results are presented. © 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: thread-like inhomogeneity; fracture; debonding; interface; criteria 1. Introduction One of the main challenges in studying the limiting equilibrium of bodies with thin inhomogeneities is the presence of three possible fracture scenarios, depending on where it initiates: (a) in the material near the tip of the defect; (b) at the interface between the inhomogeneity and the base material; (c) inside the inhomogeneity. It is also possible that fracture processes may occur at some distance from the inhomogeneity or involve a combination of several scenarios simultaneously. European Conference on Fracture 2024 Failure criterion for thread-like fibers in a thermoelastic medium Oleh Yashiy a, *, Andrii Korniichuk b , Iryna Didych a , Dmytro Tymoshchuk a , Iaroslav Pasternak b a Ternopil Ivan Puluj National Technical University, Ruska Str 56, Ternopil, Ukraine b Lesya Ukrainka Volyn National University, Voli Avenue 13, Lutsk, Ukraine Abstract The paper introduces fracture criteria for thermoelastic solids containing deformable thread-like inhomogeneities. It revisits previously introduced models of these inhomogeneities, which reduce the problem to studying specific influence functions distributed along a spatial curve. This approach reduces the number of degrees of freedom in the problem and provides a more compact solution. The paper focuses on the fracture behavior of such inhomogeneous materials under three distinct mechanisms: (a) fracture of the inhomogeneity, (b) its debonding, and (c) fracture initiation near its tip. The mathematical formulations for these criteria are provided, and numerical results are presented. © 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: thread-like inhomogeneity; fracture; debonding; interface; criteria 1. Introduction One of the main challenges in studying the limiting equilibrium of bodies with thin inhomogeneities is the presence of three possible fracture scenarios, depending on where it initiates: (a) in the material near the tip of the defect; (b) at the interface between the inhomogeneity and the base material; (c) inside the inhomogeneity. It is also possible that fracture processes may occur at some distance from the inhomogeneity or involve a combination of several scenarios simultaneously. © 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

* Corresponding author. E-mail address: oleh.yasniy@gmail.com * Corresponding author. E-mail address: oleh.yasniy@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.2025.06.032