Han Hai-Chao
Department of Mechanical Engineering, University of Texas at San Antonio, Biomedical Engineering Program, UTSA-UTHSCSA, San Antonio, TX 78249, USA.
J Biomech Eng. 2009 Dec;131(12):124501. doi: 10.1115/1.4000080.
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.
血管在管腔内血压作用下的稳定性对于维持正常动脉功能至关重要。最近，针对具有假设正弦模态形状的线性和非线性弹性动脉模型建立了屈曲方程。然而，该假设的理论基础尚不清楚。本研究建立了动脉屈曲的微分方程，然后证明了直动脉在发生屈曲时会分叉成正弦模态形状。这些结果为屈曲方程奠定了坚实的理论基础。
