The Cauchy-Born Rule Applied to a Discrete Model of a Nonwoven Fiber Mesh
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
University of Akron / OhioLINK
2012
|
| Subjects: | |
| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=akron1343070010 |
| id |
ndltd-OhioLink-oai-etd.ohiolink.edu-akron1343070010 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-OhioLink-oai-etd.ohiolink.edu-akron13430700102021-08-03T05:27:07Z The Cauchy-Born Rule Applied to a Discrete Model of a Nonwoven Fiber Mesh Kilker, Nathan Engineering Mathematics Valvular heart disease is a serious condition afflicting millions of Americans, contributing to thousands of deaths yearly. Heart valve replacement surgeries are temporary solutions that are costly and carry inherent risks. Recent tissue engineering research has suggested the use of an endothelial seeded, nonwoven polymer fiber scaffold mesh to replace damaged valve tissue. The polymer mesh (scaffold) must be strong enough to continue regular heart function until it is resorbed and replaced by the recipient's heart tissue. Of primary concern in the design of the scaffold are the mechanical properties of the scaffold, particularly stress-strain relations. A two dimensional, discrete model of the mesh is developed to simulate the mechanical behavior of the mesh under tensile loading. Continuum approximation of the discrete energy functional is derived using the Cauchy-Born rule and the partial differential equations of linear elasticity are obtained for small deformations of the mesh using variational techniques. 2012-08-13 English text University of Akron / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=akron1343070010 http://rave.ohiolink.edu/etdc/view?acc_num=akron1343070010 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
| collection |
NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Engineering Mathematics |
| spellingShingle |
Engineering Mathematics Kilker, Nathan The Cauchy-Born Rule Applied to a Discrete Model of a Nonwoven Fiber Mesh |
| author |
Kilker, Nathan |
| author_facet |
Kilker, Nathan |
| author_sort |
Kilker, Nathan |
| title |
The Cauchy-Born Rule Applied to a Discrete Model of a Nonwoven Fiber Mesh |
| title_short |
The Cauchy-Born Rule Applied to a Discrete Model of a Nonwoven Fiber Mesh |
| title_full |
The Cauchy-Born Rule Applied to a Discrete Model of a Nonwoven Fiber Mesh |
| title_fullStr |
The Cauchy-Born Rule Applied to a Discrete Model of a Nonwoven Fiber Mesh |
| title_full_unstemmed |
The Cauchy-Born Rule Applied to a Discrete Model of a Nonwoven Fiber Mesh |
| title_sort |
cauchy-born rule applied to a discrete model of a nonwoven fiber mesh |
| publisher |
University of Akron / OhioLINK |
| publishDate |
2012 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=akron1343070010 |
| work_keys_str_mv |
AT kilkernathan thecauchybornruleappliedtoadiscretemodelofanonwovenfibermesh AT kilkernathan cauchybornruleappliedtoadiscretemodelofanonwovenfibermesh |
| _version_ |
1719420259738320896 |