Journal article
Constitutive function, residual stress, and state of uniform stress in arteries
Journal of the mechanics and physics of solids, v 60(6), pp 1145-1157
01 Jun 2012
Abstract
Fung (1983) has conjectured that the residual stress in an artery distributes itself in such a way to assure that the circumferential stress is uniform across the artery wall under physiological conditions. In this work, we identify the entire class of constitutive functions for which the circumferential stress is uniform across the artery wall when it is subjected to an internal pressure. It is found that these constitutive functions do not necessarily endow residual stresses. Furthermore, a subset of the class of the constitutive functions is identified for which the circumferential stresses are uniform for the entire range of internal pressures. The constitutive functions in this sub-class are found to have zero residual stress. It is the inhomogeneity, rather than residual stress, that assures uniform circumferential stresses. We also examine the possibility of utilizing these constitutive functions in the design and fabrication of an engineered blood vessel with optimal mechanical properties. (C) 2012 Elsevier Ltd. All rights reserved.
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Details
- Title
- Constitutive function, residual stress, and state of uniform stress in arteries
- Creators
- Yi-chao Chen - University of HoustonJohn F. Eberth - University of Houston
- Publication Details
- Journal of the mechanics and physics of solids, v 60(6), pp 1145-1157
- Publisher
- Elsevier
- Number of pages
- 13
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- School of Biomedical Engineering, Science, and Health Systems
- Web of Science ID
- WOS:000303285600006
- Scopus ID
- 2-s2.0-84862805418
- Other Identifier
- 991021902498104721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Materials Science, Multidisciplinary
- Mechanics
- Physics, Condensed Matter