PSI - Issue 31

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ScienceDirect

Procedia Structural Integrity 31 (2021) 80–85 Structural Integrity Procedia 00 (2019) 000–000 Structural Integrity Procedia 00 (20 9) 00–000

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4th International Conference on Structural Integrity and Durability, ICSID 2020 Numerical modeling of kinetic regularities of yield plateau and linear work hardening stages during tension of mild steel samples 4th International Conference on Structural Integrity and Durability, ICSID 2020 Numerical modeling of kinetic regularities of yield plateau and linear work hardening stages during tension of mild steel samples

Artyom Chirkov a, ∗ , Albert Pazhin a , Mikhail Eremin a a National Research Tomsk State University, 36 Lenina pr., Tomsk, 634050, Russia Artyom Chirkov a, ∗ , Albert Pazhin a , Mikhail Eremin a a National Research Tomsk State University, 36 Lenina pr., Tomsk, 634050, Russia

© 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 ICSID 2020 Organizers. Abstract In this paper, an analysis of the linear work hardening stage of plastic flow of low-carbon steel is carried out numerically. Unlike the yield plateau stage of plastic flow, much less attention is given to late stages of plastic flow, e.g. linear work hardening or parabolic work hardening. Late stages of plastic flow are interesting from the point of revealing the underlying mechanisms of fracture site formation. The non-uniform distribution of plastic strain is analyzed in both yield plateau and linear work hardening stages. Plastic strain localization features on the linear hardening stage are discussed based on the kinetic diagrams. A microstructure-based finite di ff erence analysis is employed. It is shown that maximums of plastic strain distribution stop their motion once the linear hardening stage is entered. c 2021 The Authors. Published by Elsevier B.V. is is an open access article under the CC BY-NC-ND license (http: // cr ativec mmons.org / licenses / by-nc-nd / 4.0 / ) r-review unde responsibility of CSID 2020 Organizers. Keywords: numerical modeling; finite-di ff erence method; uniaxial tension; J2-plasticity; Lu¨ders bands Abstract In this paper, an analysis of the linear work hardening stage of plastic flow of low-carbon steel is carried out numerically. Unlike the yield plateau stage of plastic flow, much less attention is given to late stages of plastic flow, e.g. linear work hardening or parabolic work hardening. Late stages of plastic flow are interesting from the point of revealing the underlying mechanisms of fracture site formation. The non-uniform distribution of plastic strain is analyzed in both yield plateau and linear work hardening stages. Plastic strain localization features on the linear hardening stage are discussed based on the kinetic diagrams. A microstructure-based finite di ff erence analysis is employed. It is shown that maximums of plastic strain distribution stop their motion once the linear hardening stage is entered. c 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ICSID 2020 Organizers. Keywords: numerical modeling; finite-di ff erence method; uniaxial tension; J2-plasticity; Lu¨ders bands The regularities of Lu¨ders bands propagation were extensively studied in numerous articles, e.g. Wenman and Chard-Tuckey (2010); Romanova et al. (2011); Schwab and Ru ff (2013); Zuev and Barannikova (2014); Maziere and Forest (2015); Maziere et al. (2017); Makarov and Peryshkin (2017). Lu¨ders bands are manifested in the yield plateau stage of plastic flow and represent the switching waves transferring material from elastic to a plastic state. Based on the experimental studies of plastic flow in low-carbon steels, propagation of L¨ u ders bands is related to regularities of initially pinned dislocations motion or generation of new dislocations Cottrell and Bilby (1949); Johnston and Gilman (1959); Hahn (1962). All numerical studies of the L¨ u ders bands propagation are reduced to the so-called ”up-down-up” constitutive equation Wenman and Chard-Tuckey (2010); Romanova et al. (2011); Schwab and Ru ff (2013); Maziere and Forest (2015). Unlike the study of Lu¨ders banding, the late stages of plastic flow are much less studied either experimentally or numerically, although they are interesting from the point of studying the regularities of fracture site formation. The regularities of Lu¨ders bands propagation were extensively studied in numerous articles, e.g. Wenman and Chard-Tuckey (2010); Romanova et al. (2011); Schwab and Ru ff (2013); Zuev and Barannikova (2014); Maziere and Forest (2015); Maziere et al. (2017); Makarov and Peryshkin (2017). Lu¨ders bands are manifested in the yield plateau stage of plastic flow and represent the switching waves transferring material from elastic to a plastic state. Based on the experimental studies of plastic flow in low-carbon steels, propagation of L¨ u ders bands is related to regularities of initially pinned dislocations motion or generation of new dislocations Cottrell and Bilby (1949); Johnston and Gilman (1959); Hahn (1962). All numerical studies of the L¨ u ders bands propagation are reduced to the so-called ”up-down-up” constitutive equation Wenman and Chard-Tuckey (2010); Romanova et al. (2011); Schwab and Ru ff (2013); Maziere and Forest (2015). Unlike the study of Lu¨ders banding, the late stages of plastic flow are much less studied either experimentally or numerically, although they are interesting from the point of studying the regularities of fracture site formation. 1. Introduction 1. Introduction

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 ICSID 2020 Organizers. 10.1016/j.prostr.2021.03.013 ∗ Corresponding author. Tel.: Tel.: + 7-996-937-64-01. E-mail address: chirkovartyem@gmail.com 2210-7843 c 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ICSID 2020 Organizers. ∗ Corresponding author. Tel.: Tel.: + 7-996-937-64-01. E-mail address: chirkovartyem@gmail.com 2210-7843 c 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ICSID 2020 Organizers.