PSI - Issue 22

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

www.elsevier.com/locate/procedia

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Procedia Structural Integrity 22 (2019) 393–400

© 2019 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 the First International Symposium on Risk and Safety of Complex Structures and Components organizers © 2019 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 the First International Symposium on Risk and Safety of Complex Structures and Components organizers Abstr ct The p per contains the biaxial fatigue test results of s cimens with round cross-sec on, made of 10HNAP steel. The tests under cyclic bending and torsio were ca r ed out for the following ratios of normal to shear stresses amplitudes  a /  a = 0.5, 1, 2 and the loading frequency was 26.5 Hz. The tests were performed in the high cycle fatigue regime for the stress ratio R = - 1 and phase shift between bending and torsion equal to  = 0 and 90°. © 2019 The Authors. Publ shed by Elsev er B.V.This is an open access article u er th CC BY-NC-ND li ense (http://cr a ivecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of the First International Symposium on Risk and Safety of Complex Structures and Components organizers First International Symposium on Risk and Safety of Complex Structures and Components Assessment of the risk of fatigue damage in biaxial stress state Z. Marciniak a *, D. Rozumek a , G. Lesiuk b , J.A.F.O. Correia c a Department of Mechanics and Machine Design, Opole University of Technology, Mikolajczyka 5, 45-271 Opole, Poland b Faculty of Mechanical Engineering, Department of Mechanics, Material Science and Engineering, Wrocław University o f Science and Technology, Smoluchowskiego 25, 50- 370 Wrocław, Poland c INEGI/Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal Abstract The paper contains the biaxial fatigue test results of specimens with round cross-section, made of 10HNAP steel. The tests under cyclic bending and torsion were carried out for the following ratios of normal to shear stresses amplitudes  a /  a = 0.5, 1, 2 and the loading frequency was 26.5 Hz. The tests were performed in the high cycle fatigue regime for the stress ratio R = - 1 and phase shift between bending and torsion equal to  = 0 and 90°. First International Symposium on Risk and Safety of Complex Structures and Components Assessment of the risk of fatigue damage in biaxial stress state Z. Marciniak a *, D. Rozumek a , G. Lesiuk b , J.A.F.O. Correia c a Department of Mechanics and Machine Design, Op le University of Technology, Mikolajczyka 5, 45-271 Opole, Poland b Faculty of Mechanical Engineering, Department of Mechanics, Material Science and Engineering, Wrocław University o f Science and Technology, Smoluchowskiego 25, 50- 370 Wrocław, Poland c INEGI/Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal Keywords: biaxial loading; fatigue life; high cycle fatigue 1. Introduction Bending with torsion often occurs in machine elements such as shafts or beams applied in many fields of industry (Findley, 1959, Xia, Ellyin, 1998, Hutsaylyuk et al., 2016, Rozumek, Marciniak, 2008). Round specimens are usually subjected to fatigue tests of materials under combined bending and torsion, while other sections are not so often tested. Non-zero gradients of normal  and shear  stresses occur under such biaxial loading. During fatigue 1. Introduction Bending with torsion often occurs in machine elements such as shafts or beams applied in many fields of industry (Findley, 1959, Xia, Ellyin, 1998, Hutsaylyuk et al., 2016, Rozumek, Marciniak, 2008). Round specimens are usually subjected to fatigue tests of materials under combined bending and torsion, while other sections are not so often tested. Non-zero gradients of normal  and shear  stresses occur under such biaxial loading. During fatigue Keywords: biaxial loading; fatigue life; high cycle fatigue

* Corresponding author. Tel.: +48 774498422. E-mail address: z.marciniak@po.edu.pl * Corresponding author. Tel.: +48 774498422. E mail address: z.marciniak@po.edu.pl

2452-3216 © 2019 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 statement: Peer-review under responsibility of the First International Symposium on Risk and Safety of Complex Structures and Components organizers 2452 3216 © 2019 The Autho s. Published by Elsevier B.V.This is an open acc ss rticle under the CC BY-NC-ND license (http://c ativecommons.org/licenses/by-nc-nd/4.0/) Peer-review statement: Peer-review under responsibility of the First International Symposium on Risk and Safety of Complex Structures and Components organizers

2452-3216 © 2019 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 the First International Symposium on Risk and Safety of Complex Structures and Components organizers 10.1016/j.prostr.2020.01.049

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