PSI - Issue 59

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Procedia Structural Integrity 59 (2024) 279–284 VII International Conference “In -service Damage of Materials: Diagnostics and Prediction ” (DMDP 2023) Decomposition of the problem of constructing the equation of VII International Conference “In -service Damage of Materials: Diagnostics and Prediction ” VII International Conference “In -service Damage of Materials: Diagnostics and Prediction ” (DMDP 2023) Decomposition of the problem of constructing the equation of evolutionary damageability Svitlana Fedorova a , Victor Fedorov b * a Daido Metal Europe GmbH, Curiestrasse 5, Stuttgart, 70563, Germany b National Technical University «Kharkiv Polytechnic Institute», Kyrpychova str. 2, Kharkiv, 61002, Ukraine Abstract Click here and insert your abstract text. © 2024 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 DMDP 2023 Organizers Svitlana Fedorova a , Victor Fedorov b a Daido Metal Europe GmbH, Curiestrasse 5, Stuttgart, 70563, Germany b National Technical University «Kharkiv Polytechnic Institute», Kyrpychova str. 2, Kharkiv, 61002, Ukraine evolutionary damageability Svitlana Fedorova a , Victor Fedorov b * a Daido Metal Europe GmbH, Curiestrasse 5, Stuttgart, 70563, Germany b National Technical University «Kharkiv Polytechnic Institute», Kyrpychova str. 2, Kharkiv, 61002, Ukraine Abstract Click here and insert your abstract text. © 2024 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 DMDP 2023 Organizers © 2024 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 DMDP 2023 Organizers It is shown how the potential representation of the function of evolutionary damageability in the Kachanov model allows us to decompose the complex problem of constructing this function into separate subproblems. As a result of applying the previously developed theory, a damageability function was constructed, the parameters of which are decomposed into groups, each of which affects only individual manifestations of Kachanov model (moments of rupture under constant load, moments of rupture under two-stage loading, ...). Because this function is unfactorized, it quantifies the deviation of a material from the Palmgren-Miner rule, as illustrated by low-cycle fatigue in steel, and may be a preferred application. Keywords: evolutionary damage, creep rupture, fatigue rupture, Kachanov model, Palmgren-Miner rule, damageability equation, decomposition 1. Introduction Although the physical mechanisms of long-term and fatigue rupture are different, their manifestations are described by similar mathematical models. Therefore, to study these models, it is useful to combine them into evolutionary destruction and unify the notation according to Fedorov (2023) in Table 1. It is shown how the potential representation of the function of evolutionary damageability in the Kachanov model allows us to decompose the complex problem of constructing this function into separate subproblems. As a result of applying the previously developed theory, a damageability function was constructed, the parameters of which are decomposed into groups, each of which affects only individual manifestations of Kachanov model (moments of rupture under constant load, moments of rupture under two-stage loading, ...). Because this function is unfactorized, it quantifies the deviation of a material from the Palmgren-Miner rule, as illustrated by low-cycle fatigue in steel, and may be a preferred application. Keywords: evolutionary damage, creep rupture, fatigue rupture, Kachanov model, Palmgren-Miner rule, damageability equation, decomposition 1. Introduction Although the physical mechanisms of long-term and fatigue rupture are different, their manifestations are described by similar mathematical models. Therefore, to study these models, it is useful to combine them into evolutionary destruction and unify the notation according to Fedorov (2023) in Table 1. Abstract Click here and insert your abstract text. © 2024 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 DMDP 2023 Organizers It is shown how the potential representation of the function of evolutionary damageability in the Kachanov model allows us to decompose the complex problem of constructing this function into separate subproblems. As a result of applying the previously developed theory, a damageability function was constructed, the parameters of which are decomposed into groups, each of which affects only individual manifestations of Kachanov model (moments of rupture under constant load, moments of rupture under two-stage loading, ...). Because this function is unfactorized, it quantifies the deviation of a material from the Palmgren-Miner rule, as illustrated by low-cycle fatigue in steel, and may be a preferred application. Keywords: evolutionary damage, creep rupture, fatigue rupture, Kachanov model, Palmgren-Miner rule, damageability equation, decomposition 1. Introduction Although the physical mechanisms of long-term and fatigue rupture are different, their manifestations are described by similar mathematical models. Therefore, to study these models, it is useful to combine them into evolutionary destruction and unify the notation according to Fedorov (2023) in Table 1. 2452-3216 © 2024 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 DMDP 2023 Organizers 2452-3216 © 2024 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 DMDP 2023 Organizers 2452-3216 © 2024 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 DMDP 2023 Organizers * Corresponding author. Tel.: +380 (57) 7076 879; fax: +0-000-000-0000 . E-mail address: Victor.Fedorov@khpi.edu.ua * Corresponding author. Tel.: +380 (57) 7076 879; fax: +0-000-000-0000 . E-mail address: Victor.Fedorov@khpi.edu.ua * Corresponding author. Tel.: +380 (57) 7076 879; fax: +0-000-000-0000 . E-mail address: Victor.Fedorov@khpi.edu.ua

2452-3216 © 2024 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 DMDP 2023 Organizers 10.1016/j.prostr.2024.04.040