Mathematical modelling of soft tissues

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Mathematical modelling of soft tissues
Original language description
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.
Czech name
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Czech description
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Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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