PSI - Issue 33

Available online at www.sciencedirect.com Structural Integrity Procedia 00 (2019) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000–000 Available online at www.sciencedirect.com ScienceDirect

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Procedia Structural Integrity 33 (2021) 809–817

© 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 IGF ExCo © 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 Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo Keywords: plasticity, limit state, stress state dependancy, triaxiality 1. Introduction In the mechanics of solids, plasticity conditions based on the values of shear stress such as the Treska and the von Mises criteria are the most well-known and widely used. Nevertheless, there is a large class of materials which experimental studies of deformation do not agree with only shear stress analysis. These materials are micro- Abstract This w rk dedicated to the study of the plastic flow f the material with characteristics dependent on the loading conditions. As the alt rnative to Mises’s criterion, the one with taking into account pressure invariant is co sidered. The limit states of the tripes with an l cuts under tension in plane strain conditions re an lyzed usi g nalytical and numerical methods. Different degrees of limit load sensitivities to the type of loading are demonstrat d. Th comparative analysis of an lytical and numerical results shows that the values of limit loads fall within the range predicted by limit plastic state theorems. © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article und r the CC BY-NC-ND licens (https:// reativecommons.org/licenses/by-nc-nd/4.0) P er-review Statement: Peer-review un r responsib lity of the scientific committee of the IGF ExCo Keywords: plasticity, limit state, stress state dependancy, triaxiality 1. Introduction In the mechanics of solids, plasticity conditions based on the valu s of shear stress such as the Treska and the von Mises criteria are the most well-known a d widely used. Nevertheless, there is a large class of materials which experimental studies of deformation do not agree with only shear stress analysis. These materials are micro- Abstract This work dedicated to the study of the plastic flow of the material with characteristics dependent on the loading conditions. As the alternative to Mises’s criterion, the one with taking into account pressure invariant is considered. The limit states of the stripes with angle cuts under tension in plane strain conditions are analyzed using analytical and numerical methods. Different degrees of limit load sensitivities to the type of loading are demonstrated. The comparative analysis of analytical and numerical results shows that the values of limit loads fall within the range predicted by limit plastic state theorems. IGF26 - 26th International Conference on Fracture and Structural Integrity Limit plastic state of notched solids with properties dependent on IGF26 - 26th International Conference on Fracture and Structural Integrity Limit plastic state of notched solids with properties dependent on the type of external forces Evgeny Lomakin ab  , Boris Fedulov a a Department of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, Leninskiye Gory 1, 119991, Moscow, Russia b Moscow Aviation Institute (National Research University), Volokolamskoe shosse, 4, 125993, Moscow, Russia the type of external forces Evgeny Lomakin ab  , Boris Fedulov a a Department of Mechanics a d Mathematics, Lomonosov Moscow State University, GSP-1, Leninskiye Gory 1, 119991, M scow, Russia b Moscow Aviation Institute (National Research University), Volokolamskoe shosse, 4, 125993, Moscow, Russia

 Corresponding author. E-mail address: evlomakin@yandex.ru  Correspon ing auth r. E-mail address: evlomakin@yandex.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 Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo 2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open acc ss article und r the CC BY-NC-ND licens (https:// reativecommons.org/licenses/by-nc-nd/4.0) Peer-review Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo

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 IGF ExCo 10.1016/j.prostr.2021.10.090