A novel arterial constitutive model in a commercial finite element package: Application to balloon angioplasty.

A novel arterial constitutive model in a commercial finite element package: Application to balloon angioplasty.
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DOI:
10.1016/j.jtbi.2011.05.037
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发表时间:
2011-10-07
影响因子:
2
通讯作者:
Kassab, Ghassan S.
Kassab, Ghassan S.
中科院分区:
生物学4区
文献类型:
--
作者:
Zhao, Xuefeng;Liu, Yi;Zhang, Wei;Wang, Chong;Kassab, Ghassan S.

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最近,一种新的线性化本构模型与一个新的应变措施,吸收材料的非线性动脉进行了验证。在这项研究中,线性化的动脉应力应变关系被实施到一个有限元方法包ANSYS,通过用户子程序USERMAT。参考配置被选择为封闭的圆柱形管(无负载状态),而不是开放的扇区(零应力状态)。采用解析计算的方法考虑残余应变的影响,并采用拉格朗日罚函数法强制不可压缩条件。进行轴对称有限元分析,以证明这种方法在血管成形术球囊与血管壁相互作用的复杂边界值问题中的潜在应用。跨壁周向和压缩径向应力分布的模型预测也进行了验证对指数型冯模型,平均误差被发现是在6%以内。
Recently, a novel linearized constitutive model with a new strain measure that absorbs the material nonlinearity was validated for arteries. In this study, the linearized arterial stress-strain relationship is implemented into a finite element method package ANSYS, via the user subroutine USERMAT. The reference configuration is chosen to be the closed cylindrical tube (no-load state) rather than the open sector (zero-stress state). The residual strain is taken into account by analytic calculation and the incompressibility condition is enforced with Lagrange penalty method. Axisymmetric finite element analyses are conducted to demonstrate potential applications of this approach in a complex boundary value problem where angioplasty balloon interacts with the vessel wall. The model predictions of transmural circumferential and compressive radial stress distributions were also validated against an exponential-type Fung model, and the mean error was found to be within 6%.
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