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Non-linear finite element analyses of the aortic heart valve
Includes bibliographical references.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613181912809472 |
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| access_status_str | Open Access |
| author | Koch, Thorsten M |
| author2 | Reddy, B Daya |
| author_browse | Koch, Thorsten M Reddy, B Daya |
| author_facet | Reddy, B Daya Koch, Thorsten M |
| author_sort | Koch, Thorsten M |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/6756 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:03.909Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/6756 Non-linear finite element analyses of the aortic heart valve Koch, Thorsten M Reddy, B Daya Applied Mathematics Includes bibliographical references. Finite element models of the aortic heart valve have been successfully used in the past to gain insight into the mechanics of the valve and to aid in understanding of valve failure. Moreover such models are indispensable tools for further developments in heart valve prosthetic design. In previous stress analyses linear elastic constitutive models have predominantly been used to model aortic valve leaflets, despite aortic valve tissue showing highly non-linear behaviour in tension tests. In view of recent developments towards tissue engineering of heart valves, these linear constitutive models of aortic valve leaflets are not likely to produce results sufficiently accurate to correlate cell behaviour with mechanical stimuli. To study how non-linear material behaviour affects the results of stress analyses of the aortic valve, static finite element analyses of the valve including the aortic root and leaflets have been carried out. An isotropic linear elastic material model was assigned to the aortic root with Young's modulus adjusted for the simulated compliance to match physiological values. Linear elastic models for the aortic valve leaflets with parameters used in previous studies were then compared with hyperelastic materials. The parameters used for the exponential strain energy function of the latter were obtained from fits of uniaxial tension test results of fresh porcine aortic valve leaflets. As natural leaflets show anisotropy with a pronounced stiff direction along the circumference of the valve, isotropic models of the leaflets were extended to account for this behaviour by incorporating transverse isotropy. The results display a stark impact of a transversely isotropic hyperelastic material on leaflet mechanics, Le. increased coaptation with peak values of stress and strain in the elastic limit. Interestingly, the alignment of maximum principal stress of all models seems to approximately follow the coarse collagen fibre distribution found ill aortic valve leaflets. 2014-08-29T12:43:34Z 2014-08-29T12:43:34Z 2004 Thesis http://hdl.handle.net/11427/6756 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Applied Mathematics Koch, Thorsten M Non-linear finite element analyses of the aortic heart valve |
| title | Non-linear finite element analyses of the aortic heart valve |
| title_full | Non-linear finite element analyses of the aortic heart valve |
| title_fullStr | Non-linear finite element analyses of the aortic heart valve |
| title_full_unstemmed | Non-linear finite element analyses of the aortic heart valve |
| title_short | Non-linear finite element analyses of the aortic heart valve |
| title_sort | non linear finite element analyses of the aortic heart valve |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/6756 |
| work_keys_str_mv | AT kochthorstenm nonlinearfiniteelementanalysesoftheaorticheartvalve |