Analytical and Computational Methods for Fluid-Structure Interaction Applications to Aneurysms

dc.contributor.advisorSeshaiyer, Padmanabhan
dc.contributor.authorSamuelson, Andrew Neil
dc.creatorSamuelson, Andrew Neil
dc.date2011-07-22
dc.date.accessioned2011-08-22T17:33:56Z
dc.date.availableNO_RESTRICTION
dc.date.available2011-08-22T17:33:56Z
dc.date.issued2011-08-22
dc.description.abstractIn this dissertation, we develop analytical and computational models for understanding soft tissue mechanics, fluid dynamics, and their interaction. Despite major advances in this area, there is still a need for more sophisticated models which provide better insight into understanding the biomechanics of aneurysms. Towards this end, this dissertation: Develops a hyperelastic membrane model which incorporates fluid-structure interaction for a cylindrical geometry undergoing radial inflation. Develops a fully three-dimensional elastic model which incorporates fluid-structure interaction for a cylindrical geometry undergoing radial inflation. Performs stability analysis on the governing equations derived for the membrane and elastic models. Develops computational algorithms using the finite element method to substantiate the results from analytical models. The models that will be derived in this research will be studied for a variety of biomechanical factors including viscoelasticity, radial anisotropy, and angular anisotropy.
dc.identifier.urihttps://hdl.handle.net/1920/6597
dc.language.isoen_US
dc.subjectFluid-Structure
dc.subjectStability
dc.subjectAneurysms
dc.subjectNumerical Analysis
dc.subjectDifferential Equations
dc.titleAnalytical and Computational Methods for Fluid-Structure Interaction Applications to Aneurysms
dc.typeDissertation
thesis.degree.disciplineMathematics
thesis.degree.grantorGeorge Mason University
thesis.degree.levelDoctoral
thesis.degree.namePhD in Mathematics

Files

Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Samuelson_dissertation_2011.pdf
Size:
2.64 MB
Format:
Adobe Portable Document Format
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.65 KB
Format:
Item-specific license agreed upon to submission
Description: