Modelling Cortical Bone Properties Using Homogenisation of Double Porous Medium

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43918717" target="_blank" >RIV/49777513:23520/12:43918717 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Modelling Cortical Bone Properties Using Homogenisation of Double Porous Medium
Original language description
The paper describes the homogenization approach to the cortical bone modeling featured by multi-level treatment. The homogenization of the Biot continuum with double porosity provides upscaling from the osteon level to the macroscopic scale, where some memory effects are the consequences of the microflow in the dual porosity. To obtain the material properties of the osteon matrix, the hierarchical two-level homogenization is proposed to upscale in two steps: from the scale of canaliculi to an intermediate scale of individually distinguishable lacunae, then to the level of the osteon matrix considered as the dual porosity which separates the Haverse/Volkmann vascular channels. The mathematical structure of the model is presented and some preliminary numerical illustrations are included.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 3rd GAMM Seminar on Continuum Biomechanics
ISBN
978-3-937399-21-8
ISSN
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e-ISSN
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Number of pages
22
Pages from-to
53-74
Publisher name
Universitat Stuttgart
Place of publication
Stuttgart
Event location
Stuttgart
Event date
Oct 24, 2010
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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