Engineering Mechanics

International Conference

Proceedings Vol. 18 (2012)


ENGINEERING MECHANICS 2012

18th INTERNATIONAL CONFERENCE
May 14 – 17, 2012, Svratka, Czech Republic
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Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2012 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-39-0 (printed, Extended Abstracts)
ISBN 978-80-86246-40-6 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Comparison of implicit-gradient damage-plastic models
M. Horák, M. Jirásek
pages 419 - 426, full text

Damage mechanics coupled with the theory of plasticity is a suitable framework for description of the complex behavior of materials such as concrete, steel, or bone. However, the classical theory fails after the loss of ellipticity of the governing differential equation. From the numerical point of view, loss of ellipticity is manifested by the pathological dependence of the results on the size and orientation of the finite elements. This paper describes two different formulations of coupled damage-plastic models, and their nonlocal enhancements based on the implicit gradient approach. The difference between the formulations is discussed and illustrated by a numerical example.


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