Technical Briefs

The Theoretical Foundation for Artery Buckling Under Internal Pressure

[+] Author and Article Information
Hai-Chao Han

Department of Mechanical Engineering, University of Texas at San Antonio, Biomedical Engineering Program, UTSA-UTHSCSA, San Antonio, TX 78249hchan@utsa.edu

J Biomech Eng 131(12), 124501 (Oct 29, 2009) (4 pages) doi:10.1115/1.4000080 History: Received December 12, 2008; Revised May 04, 2009; Posted September 01, 2009; Published October 29, 2009

The stability of blood vessels under the lumen blood pressure is essential to the maintenance of normal arterial function. Buckling equations have been established recently for linear and nonlinear elastic artery models with assumed sinusoidal mode shapes. However, the theoretical base for the assumption is not clear. This study established differential equations of artery buckling and then proved that straight arteries bifurcated into sinusoidal mode shapes when buckling occurs. These results set the buckling equation on a solid theoretical foundation.

Copyright © 2009 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Schematics showing the distributed lateral load q(z) and boundary (end) reaction moment forces Q0 and Ql and moments M0 and Ml

Grahic Jump Location
Figure 2

A schematic illustration of the stable and unstable zones for blood vessels under internal pressure. The dotted line indicates the curve for nonlinear system.



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