PSI - Issue 61

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ScienceDirect Structural Integrity Procedia 00 (2023) 000 – 000 Structural Integrity Procedia 00 (2023) 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 61 (2024) 98–107

© 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 the scientific committee of IWPDF 2023 Chairman Abstract Spectral methods (adopting a frequency domain approach) are commonly used for estimating the fatigue damage of vibrating structures in the high-cycle fatigue regime, where the material is linear elastic. In the low-cycle fatigue regime, by contrast, material exhibits plasticity, so the structural response is non-linear. For this reason, the application of spectral methods in low-cycle fatigue regime is more challenging. Few studies exist in the literature that include material plasticity in the spectral methods by means of Neuber ’s rule and the Ramberg-Osgood constitutive model. After a review of the existing strain-based spectral methods, this paper develops a more rigorous theoretical formulation for the transformation of the stress amplitude probability distribution based on Neuber’s rule. It then presents preliminary results of a comparison between strain-based spectral estimations and simulation results obtained in the time domain by the use of kinematic cyclic plasticity models. The findings are useful to shed light on the range of applicability of the strain-based spectral approach while also providing ideas for possible further improvements. © 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 the scientific committee of IWPDF 2023 Keywords: Spectral fatigue; plasticity; strain-based spectral damage Abstract Spectral methods (adopting a frequency domain approach) are commonly used for estimating the fatigue damage of vibrating structures in the high-cycle fatigue regime, where the material is linear elastic. In the low-cycle fatigue regime, by contrast, material exhibits plasticity, so the structural response is non-linear. For this reason, the application of spectral methods in low-cycle fatigue regime is more challenging. Few studies exist in the literature that include material plasticity in the spectral methods by means of Neuber ’s rule and the Ramberg-Osgood constitutive model. After a review of the existing strain-based spectral methods, this paper develops a more rigorous theoretical formulation for the transformation of the stress amplitude probability distribution based on Neuber’s rule. It then presents preliminary results of a comparison between strain-based spectral estimations and simulation results obtained in the time domain by the use of kinematic cyclic plasticity models. The findings are useful to shed light on the range of applicability of the strain-based spectral approach while also providing ideas for possible further improvements. © 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 the scientific committee of IWPDF 2023 Keywords: Spectral fatigue; plasticity; strain-based spectral damage 1. Introduction The spectral approach to fatigue evaluation of structures has gained great popularity in the last few decades, given 3rd International Workshop on Plasticity, Damage and Fracture of Engineering Materials (IWPDF 2023) On applying the Neuber’s rule to spectral fatigue damage estimation under elasto-plastic strain Aliyye Kara a* , Denis Benasciutti b a Department of Mechanical Engineering, Istanbul Technical University, İnönü Cd., No.65, Beyoğ lu, Istanbul 34437, Turkiye b Department of Engineering, University of Ferrara, Via Saragat 1, Ferrara 44122, Italy 3rd International Workshop on Plasticity, Damage and Fracture of Engineering Materials (IWPDF 2023) On applying the Neuber’s rule to spectral fatigue damage estimation under elasto-plastic strain Aliyye Kara a* , Denis Benasciutti b a Department of Mechanical Engineering, Istanbul Technical University, İnönü Cd., No.65, Beyoğ lu, Istanbul 34437, Turkiye b Department of Engineering, University of Ferrara, Via Saragat 1, Ferrara 44122, Italy 1. Introduction The spectral approach to fatigue evaluation of structures has gained great popularity in the last few decades, given

* Corresponding author. Tel.: +90-534-089-0184 E-mail address: aliyye.kara@itu.edu.tr * Corresponding author. Tel.: +90-534-089-0184 E-mail address: aliyye.kara@itu.edu.tr

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 the scientific committee of IWPDF 2023 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 the scientific committee of IWPDF 2023

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