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) 119–124

© 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. Under certain assumptions, one can integrate the in rements of pl stic hears over all p ssible slip pl nes in the case of an arbitr ry three-dimen i nal stress st te an obtain the con titutive relatio s fo the plastic model, which is a version of th theory of plastic flow. For om particular loading paths in cases of two- and three-dime io al str ss states ranges of ientation changes for slip planes are defined. Comparison between calculated plastic deformations and experimental ones is performed. © 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. A model of a plastic medium based on a plastic slip theory is presented in the paper. It is presumed that a micro-slip (i.e. a plastic shear) on any oriented plane occurs while a shear stress is exceeding some critical level at the same time with a rising of a local loading condition. In any other case a plastic shear does not occur. Under certain assumptions, one can integrate the increments of plastic shears over all possible slip planes in the case of an arbitrary three-dimensional stress state and obtain the constitutive relations for the plastic model, which is a version of the theory of plastic flow. For some particular loading paths in cases of two- and three-dimensional stress states ranges of orientation changes for slip planes are defined. Comparison between calculated plastic deformations and experimental ones is performed. A model of a plastic medium based on a pl stic slip theory is pr se ted in the paper. It is presumed that a micro-sl p (i.e. a plastic shear) on any oriented plane oc urs while a s r str s is ex eeding some critical level at the same time with a rising of a local loa ing condition. In any other case a plastic shear does not occur. 1. Introduction A model of a plastic medium based on a plastic slip theory by Batdorf and Budiansky (1949) is presented in the paper. It is presumed that a micro-slip (i.e. a plastic shear) on any oriented plane occurs while a shear stress is exceeding some critical level at the same time with a rising of a local loading condition. In any other case a plastic shear does not occur. Under certain assumptions, one can integrate the increments of plastic shears over all possible slip planes in the case of an arbitrary three-dimensional stress state and obtain the constitutive relations for the plastic model, which is 1. Introduction A model of a plastic mediu based on a plastic slip theory by Batdorf an Budiansky (1949) is pres nted in the pap r. It is presumed that a micro- lip (i.e. a plastic shear) on any oriented plane ccurs while a shear stres s excee ing s me ritical level at the same time with a rising of a local loading condition. In any other case a plastic shear oes not occur. Under certain assumptions, one can integrate the increments of plastic shears ver all possible slip planes in the case of an arbitrary three-dimensional stress state and obtain the constitutive relations for the plastic model, which is 9th International Conference on Materials Structure and Micromechanics of Fracture Constitutive equations of the semi-microscopic theory of plasticity for a multiaxial stress state Nikitin I.S. a, *, 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 9th International Conference on Materials Structure and Micromechanics of Fracture Constitutive equations of the semi-microscopic theory of plasticity for a multiaxial stress state Nikitin I.S. a, *, 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 Abstract Abstract Keywords: slip theory; plasticity; partial loading; active loading Keywords: slip theory; plasticity; partial loading; active loading

* 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.2020.01.073