Prevention of cyclic instability at the modeling of elasto-plastic deformation at large strains under proportional and non-proportional loading

Artem S. Semenov; Boris E. Melnikov; Mikhail Yu. Gorokhov; Volker Ulbricht

doi:10.1117/12.726764

10 April 2007 Prevention of cyclic instability at the modeling of elasto-plastic deformation at large strains under proportional and non-proportional loading

Artem S. Semenov, Boris E. Melnikov, Mikhail Yu. Gorokhov, Volker Ulbricht

Author Affiliations +

Proceedings Volume 6597, Nanodesign, Technology, and Computer Simulations; 659710 (2007) https://doi.org/10.1117/12.726764
Event: Nanodesign, Technology, and Computer Simulations, 2006, Olsztyn, Poland

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.

Citation Download Citation

Artem S. Semenov, Boris E. Melnikov, Mikhail Yu. Gorokhov, and Volker Ulbricht "Prevention of cyclic instability at the modeling of elasto-plastic deformation at large strains under proportional and non-proportional loading", Proc. SPIE 6597, Nanodesign, Technology, and Computer Simulations, 659710 (10 April 2007); https://doi.org/10.1117/12.726764

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