Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 60, Issue 6, Pages 1145-1157Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2012.02.005
Keywords
Residual stress; Uniform stress distribution; Constitutive function; Material inhomogeneity
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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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