Ahamed, T., Dorfmann, L. and Ogden, R.W. (2016) Modeling of residually stressed material with application to AAA. Journal of the Mechanical Behavior of Biomedical Materials, 61, pp. 221-234. (doi: 10.1016/j.jmbbm.2016.01.012) (PMID:26874252)
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119644.pdf - Accepted Version 13MB |
Abstract
Residual stresses are generated in living tissues by processes of growth and adaptation and they significantly influence the mechanical behaviour of the tissues. Thus, to effectively model the elastic response of the tissues relative to a residually stressed configuration the residual stresses need to be incorporated into the constitutive equations. The purposes of this paper are (a) to summarise a general elastic constitutive formulation that includes residual stress, (b) to specify the tensors needed for the three-dimensional implementation of the theory in a nonlinear finite element code, and (c) to use the theory and its implementation to evaluate the wall stress distribution in an abdominal aortic aneurysm (AAA) using patient specific geometry and material model parameters. The considered material is anisotropic with two preferred directions indicating the orientation of the collagen fibres in the aortic tissue. The method described in this paper is general and can be used, by specifying appropriate energy functions, to investigate other residually stressed biological systems.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Ogden, Professor Raymond |
| Authors: | Ahamed, T., Dorfmann, L., and Ogden, R.W. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of the Mechanical Behavior of Biomedical Materials |
| Journal Abbr.: | JMBBM |
| Publisher: | Elsevier |
| ISSN: | 1751-6161 |
| ISSN (Online): | 1878-0180 |
| Published Online: | 27 January 2016 |
| Copyright Holders: | Copyright © 2016 Elsevier Ltd. |
| First Published: | First published in Journal of the Mechanical Behavior of Biomedical Materials 61:221-234 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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