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

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dc.contributor.advisor Seshaiyer, Padmanabhan
dc.contributor.author Samuelson, Andrew Neil
dc.creator Samuelson, Andrew Neil
dc.date 2011-07-22
dc.date.accessioned 2011-08-22T17:33:56Z
dc.date.available NO_RESTRICTION en_US
dc.date.available 2011-08-22T17:33:56Z
dc.date.issued 2011-08-22
dc.identifier.uri https://hdl.handle.net/1920/6597
dc.description.abstract In 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.language.iso en_US en_US
dc.subject Fluid-Structure en_US
dc.subject Stability en_US
dc.subject Aneurysms en_US
dc.subject Numerical Analysis en_US
dc.subject Differential Equations en_US
dc.title Analytical and Computational Methods for Fluid-Structure Interaction Applications to Aneurysms en_US
dc.type Dissertation en
thesis.degree.name PhD in Mathematics en_US
thesis.degree.level Doctoral en
thesis.degree.discipline Mathematics en
thesis.degree.grantor George Mason University en


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