PSI - Issue 37

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

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Procedia Structural Integrity 37 (2022) 1037–1042

© 2022 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 Pedro Miguel Guimaraes Pires Moreira © 2022 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) eer-review under responsibility of Pedro Miguel Guimaraes Pires Moreira Abstract This paper presents stress intensity factor (SIF or K ) solutions for a semi-elliptical surface crack in a bolt subjected to tension. Solutions were numerically computed by a 3D finite element method (FEM) with quarter-point singular isoparametric elements along the crack line. The SIF was calculated through the stiffness derivative method, by using a virtual crack extension technique to compute the energy release rate. Solutions are compared in the matter of stress intensity values at the center of the crack front and at the external surface of the bolt, and a wide range of crack aspect ratios and relative crack depths are studied, in order to provide the engineer with solutions applicable to different real situations in fracture mechanics or damage tolerance analyses such as static or cyclic (fatigue) loading, environmentally assisted cracking or corrosion-fatigue. In Memoriam : The paper is dedicated to the memory of the prominent Spa nish engineer Juan de la Cierva, inventor of “autogiro” . © 2022 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 Pedro Miguel Guimaraes Pires Moreira ICSI 2021 The 4th International Conference on Structural Integrity Review and synthesis of stress intensity factor (SIF) solutions for elliptical surface cracks in bolts under tension loading: A Tribute to Juan de la Cierva Jesús Toribio* Fracture & Structural Integrity Research Group (FSIRG), University of Salamanca (USAL) E.P.S., Campus Viriato, Avda. Requejo 33, 49022 Zamora, Spain Abstract This paper presents stress intensity factor (SIF or K ) solutions for a semi-elliptical surface crack in a bolt subjected to tension. Solutions were numerically computed by a 3D finite element method (FEM) with quarter-point singular isoparametric elements along the crack line. The SIF was calculated through the stiffness derivative method, by using a virtual crack extension technique to compute the energy release rate. Solutions are compared in the matter of stress intensity values at the center of the crack front and at the external surface of the bolt, and a wide range of crack aspect ratios and relative crack depths are studied, in order to provide the engineer with solutions applicable to different real situations in fracture mechanics or damage tolerance analyses such as static or cyclic (fatigue) loading, environmentally assisted cracking or corrosion-fatigue. In Memoriam : The paper is dedicated to the memory of the prominent Spa nish engineer Juan de la Cierva, inventor of “autogiro” . ICSI 2021 The 4th International Conference on Structural Integrity Review and synthesis of stress intensity factor (SIF) solutions for elliptical surface cracks in bolts under tension loading: A Tribute to Juan de la Cierva Jesús Toribio* Fracture & Structural Integrity Research Group (FSIRG), University of Salamanca (USAL) E.P.S., Campus Viriato, Avda. Requejo 33, 49022 Zamora, Spain

Keywords: cracked bolt; elliptical crack; crack aspect ratio; stress intensity factor (SIF) solution; remote tension. Keywords: cracked bolt; elliptical crack; crack aspect ratio; stress intensity factor (SIF) solution; remote tension.

* Corresponding author. Tel.: +34-677566723; fax: +34-980545002. E-mail address: toribio@usal.es * Corresponding author. Tel.: +34-677566723; fax: +34-980545002. E-mail address: toribio@usal.es

2452-3216 © 2022 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 Pedro Miguel Guimaraes Pires Moreira 2452-3216 © 2022 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 Pedro Miguel Guimaraes Pires Moreira

2452-3216 © 2022 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 Pedro Miguel Guimaraes Pires Moreira 10.1016/j.prostr.2022.02.042