PSI - Issue 23

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

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Procedia Structural Integrity 23 (2019) 131–136

9th International Conference on Materials Structure and Micromechanics of Fracture Study of a multiaxial cyclic loading with determination of a critical plane for arbitrary phase shifts 9th International Conference on Materials Structure and Micromechanics of Fracture Study of a multiaxial cyclic loading with determination of a critical plane for arbitrary phase shifts

Nikitin I.S. a, *, Burago N.G. b , Nikitin A.D. a , Stratula B.A. a a Institute of Computer Aided Design of RAS, 2-nd Brestskaya str., 19/18, Moscow, 123056, Russia b Ishlinsky Institute for Problems in Mechanics of RAS, Vernadskogo pr., 101-1,Moscow, 119526, Russia Nikitin I.S. a, *, Burago N.G. b , Nikitin A.D. a , Stratula B.A. a a Institute of Compute Aided Design of RAS, 2-nd Brestskaya str., 19/ 8, Mosc w, 123056, Russia b Ishlinsky Institute for Problems in Mechanics of RAS, Vernadskogo pr., 101-1,Moscow, 119526, Russia

Abstract Abstract

© 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 scientific committee of the ICMSMF organizers © 201 9 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 scientific committee of the IC MSMF organizers. A analy cal solution fo the critical pl ne orientation w s obt ined n the case of fatigue damage’s development for the well known fatigue criterion proposed by Pap dopoul s. Arbitrary phase shifts were taken into account for a multiaxial cyclic loading. Comparison between analytical, numerical solutions and experimental data was made. © 201 9 The Authors. Published by Elsevier B.V. This is an ope acces article under CC BY-NC-ND lic nse (http://creativecommon org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of the scientific committee of the IC MSMF organizers. An analytical solution for the critical plane orientation was obtained in the case of fatigue damage’s development for the well known fatigue criterion proposed by Papadopoulos. Arbitrary phase shifts were taken into account for a multiaxial cyclic loading. Comparison between analytical, numerical solutions and experimental data was made.

Keywords: critical plane; multiaxial loading; cyclic loading; fatigue; Keywords: critical plane; multiaxial loading; cyclic loading; fatigue;

1. Introduction 1. Introduction

It is shown by operating experience of various structural elements that natural cyclic regimes and loading conditions can rarely be reproduced in laboratories in simplified fatigue experiments such as tension, bending or torsion. Typically, structural elements are subjected to complex (triaxial) stressed states. In this case it is necessary to use multiaxial fatigue criteria. Modern fatigue criteria make it possible to evaluate amount of cycles N to breakdown either of a specimen or structural element (so called fatigue life). Additionally, arbitrary phase shifts between cyclic stress components and an orientation of a critical plane are taken into account (Findley (1959), Papadopoulos (2001), Morel (2000), Carpinteri et al. (2002), Banvillet et al. (2003)). In this paper a procedure to evaluate an orientation of a critical plane (for example, fig. 1) and hence to detect a fatigue life under multiaxial It is show by operating experience of various structural elements that natural cy lic regimes and loading conditions can rarely be reproduced in laboratories in si lified f tigue experiments such as tension, bending or t rsion. Typically, structural elements are subjected to complex (triaxial) stressed states. In this case it is necessary to use multiaxial fatigue riteria. Modern fatigue criteria make it possibl to evaluate amount of cycles N to reakdown either of a specim or structural eleme t (so called fatigue life). Additionally, arbitrary phase shifts between cyclic stress components and an orientation of a critical plane are taken into account (Findley (1959), Papadopoulos (2001), Morel (2000), Carpinteri et al. (2002), Banvillet et al. (2003)). In this paper a procedure to evaluate an orientation of a critical plane (for example, fig. 1) and hence to detect a fatigue life under multiaxial

* Corresponding author. Tel.: +7-916-637-70-28. E-mail address: i_nikitin@list.ru * Correspon ing author. Tel.: +7-916-637-70-28. E-mail address: i_nikitin@list.ru

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 scientific committee of the IC MSMF organizers. 2452-3216 © 2019 The Authors. Published by Elsevier B.V. This is an ope acces article under CC BY-NC-ND lic nse (http://creativecommon org/licenses/by-nc-nd/4.0/)

Peer-review under responsibility of the scientific committee of the IC MSMF 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 scientific committee of the ICMSMF organizers 10.1016/j.prostr.2020.01.075