PSI - Issue 32

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

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Procedia Structural Integrity 32 (2021) 26–31

© 2021 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 the XXIIth Winter School on Continuous Media Mechanics” Abstract The aim of the work is to numerically simulate the degradation of elastic properties of carbon-fiber-reinforced polymers based on the previously developed model of damage in solids with mesoscopic defects. The paper presents a mathematical statement of cyclic loading of a representative volume of composite material with regard to damage accumulation. An analytical solution of the problem has been obtained, which made it possible to describe both the degradation of elastic properties and the Wöhler curve (fatigue curve). An identification procedure of unknown model constants has been performed. Comparison of modeling results with experimental data of other authors showed good agreement. © 2021 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 the XXIIth Winter School on Continuous Media Mechanics” Keywords: composite material; cyclic loading; damage; fatigue. 1. Introduction In the process of operation, the structural elements of aircraft power plants and industrial gas-turbine plants can be exposed to both cyclic fatigue loading and random effects, including dynamic ones, which lead to damage. In order to estimate the performance characteristics, theoretical and experimental approaches to physical and mathematical modeling of the behavior of structural parts made of composite materials under conditions close to the real operation are necessary. XXIIth Winter School on Continuous Media Mechanics Model of elastic modulus degradation and fracture of composite materials under cyclic loading Yuriy Bayandin* Institute of Continuous Media Mechanics UB RAS, 614013, 1 Ac. Korolev str., Perm, Russian Federation , Mikhail Golovin, Dmitry Ledon, Oleg Naimark Abstract The aim of the work is to numerically simulate the degradation of elastic properties of carbon-fiber-reinforced polymers based on the previ usly developed mod l of damage in soli s with mes scopic defects. The paper presents a math matical statement f cyclic loading of a re resentative volu e of compo ite material with regard to damage accumulation. An an lytical solution the problem has been obtained, which made it pos ble to describe both the degradation of elastic properties and the Wöhler curve (fatigue curv ). An identification procedure of unknown model constants h s bee performed. Compariso of modeling results with experimental data of other auth rs showed good agreement. © 2021 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 scientific committe of the XXIIth Winter School on Continuous Media Mechanics” Keywords: composite material; cyclic loading; damage; fatigue. 1. Introduction In the process of operation, the structural elements of aircraft power plants and industrial gas-turbine plants can be exposed to both cyclic fatigu loading nd random effe ts, including dynamic ones, which lead to damage. I ord r to es imate the performance char cteristics, theore ical an experimental approa es to physic l and mathematical odeling of the behavior of structural parts made of composit aterials under ondi ions close to the re l operation are necessary. XXIIth Winter School on Continuous Media Mechanics Model of elastic modulus degradation and fracture of composite materials under cyclic loading Yuriy Bayandin* Institute of Continuous Media Mechanics UB RAS, 614013, 1 Ac. Korolev str., Perm, Russian Federation , Mikhail Golovin, Dmitry Ledon, Oleg Naimark

* Corresponding author. Tel.: +7-342-237-8312; fax: +7-342-237-8487. E-mail address: buv@icmm.ru * Corresponding author. Tel.: +7-342-237-8312; fax: +7-342-237-8487. E-mail address: buv@icmm.ru

2452-3216 © 2021 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 the XXIIth Winter School on Continuous Media Mechanics” 2452-3216 © 2021 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 the XXIIth Winter School on Continuous Media Mechanics”

2452-3216 © 2021 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 the XXIIth Winter School on Continuous Media Mechanics” 10.1016/j.prostr.2021.09.005