PSI - Issue 39

ScienceDirect Available online at www.sciencedirect.com ScienceDir ct 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

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 39 (2022) 247–255

© 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 CP 2021 – Guest Editors Abstract The paper presents an analytical approach to the prediction of the crack front at the initial stage of crack propagation. The effect of stress triaxiality on the shape of the crack front is accounted for when the cracked specimen is subjected to various types of loading modes including static and dynamic loading under room and low temperatures. © 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 CP 2021 – Guest Editors Keywords: Stress triaxiality; crack shape; cracked specimen 1. Introduction Analysis of static and dynamic three-point bending of notched and cracked specimens is a complex scientific and methodological problem of linear and nonlinear fracture mechanics. Tests performed on cracked specimens at various temperatures complement the standard impact tests on Charpy and Menage specimens (Makhutov, 1981; Makhutov, 2008). The approximate analytical solutions of the problems of stress and strain concentration developed within the framework of the theory of elasticity and plasticity, stress- and strain-based fracture criteria, as well as analytical dependences of standard characteristics of deformation and fracture on temperature and strain rate were used to describe the position of the crack front at the initial stage of its propagation. The paper develops the approach previously described in (Makhutov, Reznikov, 2020) to assess the effects of stress and strain concentration when limit states are reached under static and dynamic low-temperature bending of a cracked specimen. At the same time, the 7th International Conference on Crack Paths Analytical Determination of the Shape of a Growing Crack in a Specimen Subjected to Bending N.A. Makhutov a , D.O. Reznikov a * a Mechanical Engineering Research Institute, 4 Maly Kharitonievsky lane, Moscow, 101990, Russia Abstract The paper presents an analytical approach to the prediction of the crack front at the initial stage of crack propagation. The effect of stress triaxiality on the shape of the crack fr nt is accounted for when the cracked specimen is subjected to various types of loading modes including static and dynamic loading under room and lo t mperatures. © 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 u der responsibility of CP 2021 – Guest Editors Keywords: Stress triaxiality; crack shape; cracked specimen 1. Introduction Analysis of static and dynamic three-point bending of notched and cracked specimens is a complex scientific and methodological problem of linear and nonli ear fracture mechanics. Tests performed on cracked specimens a various temperatures complement the standard impact tests on Charpy and M nage specimens (M khutov, 1981; Makhut v, 2008). The approximat analytical solutions of the problems of stress and strain co centr tion developed within the framework of the theory of elasticity and plasticity, str ss- and strain-based fra ture criteria, as well as analytical dependences of standa d char c er stics of deformation and fracture on t mpera and strain rate were used to scrib the posi ion of the crack front at the initial st ge of its pr pagation. Th paper develops th approach previously described in (Makhutov, Reznikov, 2020) to assess the effects of s ress and str in concentration when limit states are reached under st tic and dynamic low-temperature bending of a cracked specimen. At the same time, the 7th International Conference on Crack Paths Analytical Determination of the Shape of a Growing Crack in a Specimen Subjected to Bending N.A. Makhutov a , D.O. Reznikov a * a Mechanical Engineering Research Institute, 4 Maly Kharitonievsky lane, Moscow, 101990, Russia

* Corresponding author. Tel.: +7 495 623 58 35; fax: +7 495 623 58 35. E-mail address: mibsts@mail.ru * Corresponding author. Tel.: +7 495 623 58 35; fax: +7 495 623 58 35. E-mail address: mibsts@mail.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 CP 2021 – Guest Editors 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 CP 2021 – Guest Editors

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 CP 2021 – Guest Editors 10.1016/j.prostr.2022.03.094