Nonlinear structural analysis of poroelastic materials and its application in arteries.

Persistent Link:
http://hdl.handle.net/10150/185733
Title:
Nonlinear structural analysis of poroelastic materials and its application in arteries.
Author:
Yuan, Yuan.
Issue Date:
1991
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
In this thesis, the nonlinear poroelastic theory including finite strain, material nonlinearity and material incompressibility is presented systematically in an axisymmetric cylindrical coordinate system using a total Lagrangian description. The large arteries are viewed as poroelastic materials. Special efforts are made to develop the material constitutive relations and incompressibility constraints among material properties. The material property tests and experimental data reduction schemes for poroelastic material under finite strain are discussed as a nonlinear inverse problem. The author shows that the finite strain poroelastic theory is a natural extension of conventional finite strain elastic theory. The finite element formulation is derived from poroelastic theory in full detail using Galerkin approach. The displacement formulation of the finite element method is expanded to include the displacements of pore fluid relative to the deforming solid. The penalty method and selective reduction integration are implemented for poroelastic materials composed of incompressible solid and incompressible fluid. A finite element computer code using four-node isoparametric element was programmed for both cylindrical and Cartesian coordinate systems. Examples are given to verify the computer program and demonstrate the generality of the poroelastic theory. Basic structural analyses using finite element methods are carried out and discussed.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Mechanical engineering.; Materials science.; Biophysics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Aerospace and Mechanical Engineering; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Simon, B.R.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleNonlinear structural analysis of poroelastic materials and its application in arteries.en_US
dc.creatorYuan, Yuan.en_US
dc.contributor.authorYuan, Yuan.en_US
dc.date.issued1991en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIn this thesis, the nonlinear poroelastic theory including finite strain, material nonlinearity and material incompressibility is presented systematically in an axisymmetric cylindrical coordinate system using a total Lagrangian description. The large arteries are viewed as poroelastic materials. Special efforts are made to develop the material constitutive relations and incompressibility constraints among material properties. The material property tests and experimental data reduction schemes for poroelastic material under finite strain are discussed as a nonlinear inverse problem. The author shows that the finite strain poroelastic theory is a natural extension of conventional finite strain elastic theory. The finite element formulation is derived from poroelastic theory in full detail using Galerkin approach. The displacement formulation of the finite element method is expanded to include the displacements of pore fluid relative to the deforming solid. The penalty method and selective reduction integration are implemented for poroelastic materials composed of incompressible solid and incompressible fluid. A finite element computer code using four-node isoparametric element was programmed for both cylindrical and Cartesian coordinate systems. Examples are given to verify the computer program and demonstrate the generality of the poroelastic theory. Basic structural analyses using finite element methods are carried out and discussed.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academic.en_US
dc.subjectMechanical engineering.en_US
dc.subjectMaterials science.en_US
dc.subjectBiophysics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineAerospace and Mechanical Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorSimon, B.R.en_US
dc.contributor.committeememberKamel, H.A.en_US
dc.contributor.committeememberChandra, A.en_US
dc.identifier.proquest9210337en_US
dc.identifier.oclc712066701en_US
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