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Proceedings Paper

Prevention of cyclic instability at the modeling of elasto-plastic deformation at large strains under proportional and non-proportional loading
Author(s): Artem S. Semenov; Boris E. Melnikov; Mikhail Yu. Gorokhov; Volker Ulbricht
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Paper Abstract

The cyclic instability phenomenon is investigated at the modeling of large elasto-plastic strains. The instability is observed at large strains for some elasto-plastic material models with a kinematic hardening in contrast to the small strain case. The cyclic instability manifests itself as a changing of shape, sizes or location of the hysteresis loop during cycling. In partial case the cyclic instability leads to the stress ratcheting. Responses of 50 various models of elasto-plastic material have been considered under proportional loading (cyclic simple shear) and non-proportional loading (combined cyclic simple shear and tension-compression). Causes of the cyclic instability are analyzed and conditions ensuring the cyclic stability of elasto-plastic models are proposed.

Paper Details

Date Published: 10 April 2007
PDF: 18 pages
Proc. SPIE 6597, Nanodesign, Technology, and Computer Simulations, 659710 (10 April 2007); doi: 10.1117/12.726764
Show Author Affiliations
Artem S. Semenov, St. Petersburg State Polytechnical Univ. (Russia)
Boris E. Melnikov, St. Petersburg State Polytechnical Univ. (Russia)
Mikhail Yu. Gorokhov, St. Petersburg State Polytechnical Univ. (Russia)
Volker Ulbricht, Dresden Univ. of Technology (Germany)

Published in SPIE Proceedings Vol. 6597:
Nanodesign, Technology, and Computer Simulations
Alexander I. Melker; Teodor Breczko, Editor(s)

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