Constitutive function, residual stress, and state of uniform stress in arteries
Constitutive function, residual stress, and state of uniform stress in arteries
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DOI：
10.1016/j.jmps.2012.02.005
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发表时间：
2012-06-01
影响因子：
5.3
通讯作者：
Eberth, John F.
中科院分区：
文献类型：
--
作者：
Chen, Yi-chao;Eberth, John F.
Fung (1983) 推测动脉中的残余应力以这样的方式分布，以确保生理条件下动脉壁上的周向应力是均匀的。在这项工作中，我们确定了整类本构函数，当动脉壁受到内压时，其周向应力是均匀的。研究发现，这些本构函数不一定赋予残余应力。此外，还确定了本构函数类别的子集，其周向应力对于整个内部压力范围是均匀的。发现该子类中的本构函数具有零残余应力。确保周向应力均匀的是不均匀性，而不是残余应力。我们还研究了在设计和制造具有最佳机械性能的工程血管时利用这些本构函数的可能性。 (C) 2012 Elsevier Ltd. 保留所有权利。
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.