Dissertation
Computational Rheometry of Viscoelastic Materials Using Lagrangian Mesh Methods
Doctor of Philosophy (PhD), Washington State University
01/2018
Handle:
https://hdl.handle.net/2376/111739
Abstract
The complex structures of biological tissues have a great impact of their mechanical properties. Therefore when the normal tissue changes to cancer stage, proliferation will make the tissue become more dense than usual. Since the biological tissues consist big size proteins and also stroma, it performs like solid as well as liquid. These visco-elastic acts will need more characteristics to represent. And that's why we cares about the rheological behavior of the biofluid.
In this study, we have presented a model of visco-elastic networks coupled to an immersed boundary Lagrangian mesh. These networks are built out of a collection of cross-linked nodes where each linkage is modeled by some spring and dashpot elements. We have used several nonlinear spring to find the different creep behaviors. These nonlinear springs can be represented by an approximation of n pieces of linear springs. We also demonstrated the computational rheometry test by storage modulus and loss modulus which are depending on frequency using Jeffery's Model. The results are similar to the experimental data of various tissues.
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Details
- Title
- Computational Rheometry of Viscoelastic Materials Using Lagrangian Mesh Methods
- Creators
- SHAN LI
- Contributors
- Robert H Dillon (Advisor)Hong-ming Yin (Committee Member)Sergey Lapin (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- Mathematics and Statistics, Department of
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Number of pages
- 77
- Identifiers
- 99900581508401842
- Language
- English
- Resource Type
- Dissertation