Yang, Zhaochun
(2006)
POROVISCOELASTIC DYNAMIC FINITE ELEMENT MODEL OF BIOLOGICAL TISSUE.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
Clinical evidences have demonstrated the important contribution of biomechanical factors to the behavior of soft tissues. Finite element analysis is used to study the mechanical behavior of biological tissue because it can provide numerical solutions to problems that are intractable to analytic solutions. This dissertation develops a finite element method that includes poro-viscoelastic material behavior, finite deformations, inertia and mechano-electrochemical effects for the modeling of biological tissue. The finite strains and inertial effects are introduced into the poroelastic model of biological tissues. Thus, the weak forms for the porous - electric-chemical model are developed by treating cation and anion as variables. Newmark-â method, the backward method, and Newton's method are incorporated into the implicit nonlinear solutions with the nearly incompressible and fully incompressible cases considered.This methodology and codes developed for the study have been verified with one -dimensional analytical solutions. Moreover, this study, using two dimensional examples, clearly demonstrates the importance of the finite deformation, the viscoelasticity of the material, and the electric-chemic effect. Finally, a preliminary work on the effect of impact loads on brain has show the capability of the present work in capturing sophisticated response behavior of the brain.
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| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
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| Date: |
3 October 2006 |
| Date Type: |
Completion |
| Defense Date: |
2 December 2004 |
| Approval Date: |
3 October 2006 |
| Submission Date: |
3 December 2004 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Swanson School of Engineering > Mechanical Engineering |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
biological tissue; finite element |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-12032004-134509/, etd-12032004-134509 |
| Date Deposited: |
10 Nov 2011 20:07 |
| Last Modified: |
15 Nov 2016 13:52 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/9984 |
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