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

Hierarchical multiscale modelling of porous media with applications in biomechanics
R. Cimrman, E. Rohan
pages 161 - 168, full text

We consider materials with different levels of porosity at different scales. Homogenization theory provides a natural way of upscaling fluid-structure interaction problem posed at the smallest scale to higher levels of porosities in a sense that effective material coefficients (stiffness, permeability, Biot coefficients etc.) at a higher level are obtained by applying homogenization to the lower level. This approach leads to a convenient hierarchical description of the porous medium, suitable for multiscale modelling - in the contribution we present numerical examples motivated by bone tissue poromechanics.


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