Effect of Axial Stretch on Lumen Collapse of Arteries

Abstract

The stability of the arteries under in vivo pressure and axial tension loads is essential to normal arterial function, and lumen collapse due to buckling can hinder the blood flow. The objective of this study was to develop the lumen buckling equation for nonlinear anisotropic thick-walled arteries to determine the effect of axial tension. The theoretical equation was developed using exponential Fung strain function, and the effects of axial tension and residual stress on the critical buckling pressure were illustrated for porcine coronary arteries. The buckling behavior was also simulated using finite-element analysis. Our results demonstrated that lumen collapse of arteries could occur when the transmural pressure is negative and exceeded a critical value. This value depends upon the axial stretch ratio and material properties of the arterial wall. Axial tensions show a biphasic effect on the critical buckling pressure. The lumen aspect ratio of arteries increases nonlinearly with increasing external pressure beyond the critical value as the lumen collapses. These results enhance our understanding of artery lumen collapse behavior.

Twist buckling of veins under torsional loading

“…A static general analysis approach (Northcutt et al 2009; Lee et al 2014) was used with a small imperfection (1-3% reduction in diameter in middle of the vessel length) was added to the central region of the vein to facilitate twist buckling and kink formation. The changes in imperfection has negligible effect on the predicted critical buckling behavior as demonstrated in our pilot studies and previous work (Lee et al 2014; Fatemifar and Han 2016). The model was meshed using solid hexahedral elements and analyzed (after meshing sensitivity analysis) using the commercial software ABAQUS (Lee et al 2014; Fatemifar and Han 2016).…”

“…The changes in imperfection has negligible effect on the predicted critical buckling behavior as demonstrated in our pilot studies and previous work (Lee et al 2014; Fatemifar and Han 2016). The model was meshed using solid hexahedral elements and analyzed (after meshing sensitivity analysis) using the commercial software ABAQUS (Lee et al 2014; Fatemifar and Han 2016). One end of the vein was restrained in all degrees of freedom except the radial translation that allow the vein to expand freely under lumen blood pressure.…”

“…In addition, the surrounding tissue support was not considered in this study. We expect that the surrounding tissues will increase the resistance to torque and buckling and thus increase the critical buckling torque (Han 2009; Han et al 2016). These effects need to be quantified in future studies.…”

Lack of chronic neuroinflammation in the absence of focal hemorrhage in a rat model of low-energy blast-induced TBI

“…Statistical differences indicated represent unpaired t-tests smooth muscle and endothelial layers [2,17,19,20,25,29,49,56]. Through buckling, it could induce vascular tortuosity [21] and through subsequent axial stretch [15], generate vascular strictures [17,49]. In small vessels, endothelial damage can also lead to a breakdown of the BBB and blood leakage [25,29].…”

What is The Correct Mechanical Model of Aorta Artery

“…Also the phenomena, model analyses, experimental measurements, effect on blood flow, and clinical relevance have been discussed. From this and further works Han et al clearly showed that mechanical buckling of aorta artery is an important issue for vasculature, in addition to wall stiffness and strength, and requires further studies [11][12][13][14][15][16][17][18][19][20].…”