Effect of residual stress on peak cap stress in arteries
Vulnerable plaques are a subset of atherosclerotic plaques that are prone to rupture when high stresses occur in the cap. The roles of residual stress, plaque morphology, and cap stiffness on the cap stress are not completely understood. Here, arteries are modeled within the framework of nonlinea...
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AIMS Press
2014-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1199 |
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| author | Rebecca Vandiver |
| author_facet | Rebecca Vandiver |
| author_sort | Rebecca Vandiver |
| collection | DOAJ |
| description | Vulnerable plaques are a subset of atherosclerotic plaques that are prone to rupture when high stresses occur in the cap. The roles of residual stress, plaque morphology, and cap stiffness on the cap stress are not completely understood. Here, arteries are modeled within the framework of nonlinear elasticity as incompressible cylindrical structures that are residually stressed through differential growth. These structures are assumed to have a nonlinear, anisotropic, hyperelastic response to stresses in the media and adventitia layers and an isotropic response in the intima and necrotic layers. The effect of differential growth on the peak stress is explored in a simple, concentric geometry and it is shown that axial differential growth decreases the peak stress in the inner layer. Furthermore, morphological risk factors are explored. The peak stress in residually stressed cylinders is not greatly affected by changing the thickness of the intima. The thickness of the necrotic layer is shown to be the most important morphological feature that affects the peak stress in a residually stressed vessel. |
| format | Article |
| id | doaj-art-e3b9893928f54a82917199263a65905d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-e3b9893928f54a82917199263a65905d2025-01-24T02:28:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-05-011151199121410.3934/mbe.2014.11.1199Effect of residual stress on peak cap stress in arteriesRebecca Vandiver0St. Olaf College, 1520 St. Olaf Ave, Northfield, MN 55057Vulnerable plaques are a subset of atherosclerotic plaques that are prone to rupture when high stresses occur in the cap. The roles of residual stress, plaque morphology, and cap stiffness on the cap stress are not completely understood. Here, arteries are modeled within the framework of nonlinear elasticity as incompressible cylindrical structures that are residually stressed through differential growth. These structures are assumed to have a nonlinear, anisotropic, hyperelastic response to stresses in the media and adventitia layers and an isotropic response in the intima and necrotic layers. The effect of differential growth on the peak stress is explored in a simple, concentric geometry and it is shown that axial differential growth decreases the peak stress in the inner layer. Furthermore, morphological risk factors are explored. The peak stress in residually stressed cylinders is not greatly affected by changing the thickness of the intima. The thickness of the necrotic layer is shown to be the most important morphological feature that affects the peak stress in a residually stressed vessel.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1199atherosclerosisnonlinear elasticitymorphoelasticityanisotropic.residual stress |
| spellingShingle | Rebecca Vandiver Effect of residual stress on peak cap stress in arteries Mathematical Biosciences and Engineering atherosclerosis nonlinear elasticity morphoelasticity anisotropic. residual stress |
| title | Effect of residual stress on peak cap stress in arteries |
| title_full | Effect of residual stress on peak cap stress in arteries |
| title_fullStr | Effect of residual stress on peak cap stress in arteries |
| title_full_unstemmed | Effect of residual stress on peak cap stress in arteries |
| title_short | Effect of residual stress on peak cap stress in arteries |
| title_sort | effect of residual stress on peak cap stress in arteries |
| topic | atherosclerosis nonlinear elasticity morphoelasticity anisotropic. residual stress |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1199 |
| work_keys_str_mv | AT rebeccavandiver effectofresidualstressonpeakcapstressinarteries |