Engineering Mechanics

International Conference

Proceedings Vol. 25 (2019)


ENGINEERING MECHANICS 2019

25th INTERNATIONAL CONFERENCE
May 13 – 16, 2019, Svratka, Czech Republic
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Editors: Igor Zolotarev and Vojtěch Radolf

Copyright © 2019 Institute of Thermomechanics of the Czech Academy of Sciences, Prague

ISBN 978-80-87012-71-0 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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NONUNIFORM TRANSFORMATION FIELD ANALYSIS APPLIED TO DISCRETE ELASTOPLASTIC MICROSTRUCTURE
Mikeš K., Jirásek M., Zeman J.:
pages 251 - 254, full text

In this contribution, we focus on numerical simulation of discrete elastoplastic microstructures with periodic boundary conditions. The idea of nonuniform transformation field analysis, originally proposed by Michel and Suquet, is used for simplification of the given problem by reducing the number of internal variables represented by plastic strains. For that purpose, the plastic strains are approximated by linear combinations of selected plastic modes. Two approaches to the selection of plastic modes are proposed and compared using a simple two-dimensional example. Their accuracy is evaluated by comparing the results with the exact solution.


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