A computational strategy for prestressing patient-specific biomechanical problems under finite deformation
A computational strategy for prestressing patient-specific biomechanical problems under finite deformation
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DOI：
10.1002/cnm.1236
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发表时间：
2010-01-01
影响因子：
2.1
通讯作者：
Wall, W. A.
中科院分区：
文献类型：
--
作者：
Gee, M. W.;Foerster, Ch;Wall, W. A.
在生物力学结构的模拟中，感兴趣对象的患者特定几何形状通常从诸如CT扫描的体内医学成像重建。因此，这种几何形状代表了由典型的体内条件施加应力的变形构型。通常，这种结构在模拟中被认为是无应力的。在这方面的贡献，我们提出并比较两种方法，引入一个物理上有意义的应力/应变状态，以获得几何模拟在有限应变制度，并证明这种预应力技术的必要性。一种方法是基于反向设计分析来计算无应力参考配置。这里开发的另一种方法是基于修改后的更新拉格朗日公式。这两种方法的制定提供了详细的实施问题进行了讨论。在有限应变状态下，利用分析主动脉模型和全三维患者特定腹主动脉瘤结构，对两种方法的适用性和准确性进行了比较和评价。版权所有（C）2009约翰威利父子有限公司
In simulation of biomechanical structures the patient-specific geometry of the object of interest is very often reconstructed from in vivo medical imaging such as CT scans. Such geometries therefore represent a deformed configuration stressed by typical in vivo conditions. Commonly, such structures are considered stress free in simulation. In this contribution we present and compare two methods to introduce a physically meaningful stress/strain state to the obtained geometry for simulations in the finite strain regime and demonstrate the necessity of such prestressing techniques. One method is based on an inverse design analysis to calculate a stress-free reference configuration. The other method developed here is based on a modified updated Lagrangian formulation. The formulation of both methods is provided in detail and implementation issues are discussed. Applicability and accurateness of both approaches are compared and evaluated utilizing an analytical aorta model and fully three-dimensional patient-specific abdominal aortic aneurysm structures in the finite strain regime. Copyright (C) 2009 John Wiley & Sons, Ltd.