Mathematical modelling of soft tissues

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F03%3A00000004" target="_blank" >RIV/49777513:23520/03:00000004 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Mathematical modelling of soft tissues

Popis výsledku v původním jazyce

The thesis deals with mathematical and computational models of soft tissues, such as connective or muscle tissues. Two basic modelling approaches are discussed. Using the homogenization approach the macroscopic model can be derived for a given microstr ucture. The classical 2 scale homogenization approach is extended and applied for modelling locally periodic heterogeneous media undergoing large deformations. Microscopic equations and homogenized stiffness coefficients are derived for the hyperelas ticmaterial with incompressible inclusions. A sensitivity analysis of homogenized coefficients is proposed to study their dependence on local deformations of the microstructure. The second modelling approach is based on the mixture theory; the composi te model uses only reduced information about the microstructure. This approach proved to be viable for macroscopic modelling of whole organs.

Název v anglickém jazyce

Mathematical modelling of soft tissues

Popis výsledku anglicky

The thesis deals with mathematical and computational models of soft tissues, such as connective or muscle tissues. Two basic modelling approaches are discussed. Using the homogenization approach the macroscopic model can be derived for a given microstr ucture. The classical 2 scale homogenization approach is extended and applied for modelling locally periodic heterogeneous media undergoing large deformations. Microscopic equations and homogenized stiffness coefficients are derived for the hyperelas ticmaterial with incompressible inclusions. A sensitivity analysis of homogenized coefficients is proposed to study their dependence on local deformations of the microstructure. The second modelling approach is based on the mixture theory; the composi te model uses only reduced information about the microstructure. This approach proved to be viable for macroscopic modelling of whole organs.

Druh

B - Odborná kniha

CEP obor

JI - Kompositní materiály

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2003

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

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Počet stran knihy

134

Název nakladatele

Neuveden

Místo vydání

Plzeň

Kód UT WoS knihy

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