Nonlinear buckling of blood vessels: A theoretical study

Han, Hugang

doi:10.1016/j.jbiomech.2008.06.012

Cited by 38 publications

(69 citation statements)

References 32 publications

(55 reference statements)

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“…When an artery bends due to a small lateral disturbance, lumen surface area changes unevenly on the concave and convex sides, and thus the pressure generates a distributed lateral load [1]. This lateral load can balance with the axial tension when the pressure is high enough and the artery reaches equilibrium at the bent shape, thus bifurcation occurs and the artery buckles [1][2][3]. Artery buckling could be a possible mechanism for the tortuous arteries observed often in aged populations and in patients with cardiovascular diseases [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Stability of Carotid Artery Under Steady-State and Pulsatile Blood Flow: A Fluid–Structure Interaction Study

Khalafvand

Han

2015

Journal of Biomechanical Engineering

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It has been shown that arteries may buckle into tortuous shapes under lumen pressure, which in turn could alter blood flow. However, the mechanisms of artery instability under pulsatile flow have not been fully understood. The objective of this study was to simulate the buckling and post-buckling behaviors of the carotid artery under pulsatile flow using a fully coupled fluid-structure interaction (FSI) method. The artery wall was modeled as a nonlinear material with a two-fiber strain-energy function. FSI simulations were performed under steady-state flow and pulsatile flow conditions with a prescribed flow velocity profile at the inlet and different pressures at the outlet to determine the critical buckling pressure. Simulations were performed for normal (160 ml/min) and high (350 ml/min) flow rates and normal (1.5) and reduced (1.3) axial stretch ratios to determine the effects of flow rate and axial tension on stability. The results showed that an artery buckled when the lumen pressure exceeded a critical value. The critical mean buckling pressure at pulsatile flow was 17-23% smaller than at steady-state flow. For both steady-state and pulsatile flow, the high flow rate had very little effect (<5%) on the critical buckling pressure. The fluid and wall stresses were drastically altered at the location with maximum deflection. The maximum lumen shear stress occurred at the inner side of the bend and maximum tensile wall stresses occurred at the outer side. These findings improve our understanding of artery instability in vivo.

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Section: Introductionmentioning

confidence: 99%

Stability of Carotid Artery Under Steady-State and Pulsatile Blood Flow: A Fluid–Structure Interaction Study

Khalafvand

Han

2015

Journal of Biomechanical Engineering

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“…We have recently demonstrated that arteries and veins buckle under hypertensive lumen pressures or reduced axial tension and become tortuous (Han, 2007(Han, , 2008(Han, , 2009). Our theoretical models illustrated that arteries tend to buckle into a half sinusoidal wave and predicted the critical buckling pressure (Han, 2007(Han, , 2008(Han, , 2009).…”

Section: Introductionmentioning

confidence: 99%

Blood vessel buckling within soft surrounding tissue generates tortuosity

Han

2009

Journal of Biomechanics

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“…As it is mentioned above 1 C , 2 C , 3 C , 4 C are constants and we can obtain those constant by using Eq. (21), Eq.…”

Section: Euler-bernoulli Formulationmentioning

confidence: 99%

“…His researches showed that arteries may buckle and become tortuous due to reduced axial strain, hypertensive pressure, and a weakened wall. [2][3][4][5][6][7][8][9]. Han also has investigated the critical buckling by using nonlinear elastic thick-walled cylindrical model with residual stress which was developed by Han [3].…”

Section: Introductionmentioning

confidence: 99%