PSI - Issue 36

ScienceDirect Available online at www.sciencedirect.com Sci nceD rect Structural Integrity Procedia 00 (2021) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2021) 000 – 000 Available online at www.sciencedirect.com

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

Procedia Structural Integrity 36 (2022) 401–407

© 2022 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 the conference Guest Editors Abstract Industrial structural elements are often subjected to complex loading, including opening mode (mode I), transverse (mode II) and longitudinal (mode III) shear, as well as various combinations of these three main loading modes. The separate effect of the loading modes is widely researched, while their combined action on structural elements, especially containing small cracks, is much less investigated. In this paper, a mathematical model in deformational parameters of crack tip opening displacement (CTOD) is proposed for the description of small crack propagation in thick plates subjected to mixed mode II and mode III fatigue loading. The model is formulated based on the energy approach, and the suggested formulas for mode II and mode III CTOD determination take into account the relative load level of the plate. Further, the obtained model is applied for the lifetime determination of a thick plate. In addition, the effect of the principal load direction on the lifetime is considered. © 2022 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 the conference Guest Editors Keywords: small crack; mixed mode II+III loading; crack tip opening displacement; relative load level; energy approach. Equation Chapter 1 Section 1 1st Virtual International Conference “In service Damage of Materials: Diagnostics and Prediction” Modelling small fatigue crack propagation under mixed mode II+III loading Nataliya Yadzhak a,b *, Oleksandr Andreykiv b , Yuri Lapusta a a Université Clermont Auvergne, Clermont Auvergne INP, CNRS, Institut Pascal, Clermont-Ferrand F-63000, France b Ivan Franko National University of Lviv, 1 Universytetsk St, Lviv 79000, Ukr ine Abstract Industrial structural elements are often subjected to complex loading, including opening mode (mode I), transverse (mode II) and longitudinal (mode III) shear, as w ll as various combinations of these three mai loading modes. The sepa ate effect of the ad ng modes is widely r searched, while their combined action on structural elements, especially containing small cracks, is much less investigated. In this paper, a mathematical model in deformational parameters of crack tip ope ing displacement (CTOD) is proposed for the description of small cr ck propagation in thick plates subjected to mixed mode II and mode III fatigue loading. The m del is formulated ba ed on the energy approach, and the suggest d formulas for II CTOD determination take into acco nt the relative load level of the plate. Furt r, the obtained odel is appli d for the lifetime determina ion of a thick plate. In addition, th effect f th principal load direction on the lifetime is considered. © 2022 The Authors. Pub ished 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 u der re ponsibility of conference Guest Editors Keywords: small crack; mixed mode II+III loading; crack tip opening displacement; relative load level; energy approach. Equation Chapter 1 Section 1 1st Virtual International Conference “In service Damage of Materials: Diagnostics and Prediction” Modelling small fatigue crack propagation under mixed mode II+III loading Nataliya Yadzhak a,b *, Oleksandr Andreykiv b , Yuri Lapusta a a Université Clermont Auvergne, Clermont Auvergne INP, CNRS, Institut Pascal, Clermont-Ferrand F-63000, France b Ivan Franko National University of Lviv, 1 Universytetska St, Lviv 79000, Ukraine

Nomenclature A Nomenclature A E

work of external forces Young’s modulus work of external forces Y ung’s modulus

E

* Corresponding author E-mail address: nataliya.yadzhak@etu.uca.fr * Corresponding author E-mail address: nataliya.yadzhak@etu.uca.fr

2452-3216 © 2022 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 the conference Guest Editors 2452-3216 © 2022 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 u der responsibility of t e conference Guest Editors

2452-3216 © 2022 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 the conference Guest Editors 10.1016/j.prostr.2022.01.052