A three-dimensional finite element method for large elastic deformations of ventricular myocardium .2. Prolate spheroidal coordinates
A three-dimensional finite element method for large elastic deformations of ventricular myocardium .2. Prolate spheroidal coordinates
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DOI：
10.1115/1.2796032
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发表时间：
1996-11-01
影响因子：
1.7
通讯作者：
McCulloch, AD
中科院分区：
文献类型：
--
作者：
Costa, KD;Hunter, PJ;McCulloch, AD
本文提出了一种用长球坐标系求解非线性有限弹性力学问题的三维有限元法。对于被动各向异性左心室的厚壁椭球模型，具有3个元素的高阶（立方Hermite）网格提供了准确的连续应力和应变，与70个元素的标准低阶模型相比，自由度（dof）节省了69%。与低阶模型相比，自定义混合阶模型在自由度上节省了55%，在求解时间上节省了39%。一个非对称的三维模型的被动犬左心室解决了使用16个高阶元素。在实验室工作站上1小时内获得连续的非均匀应力和应变，估计解决方案的时间小于4小时，以模拟收缩末期。这种方法代表了第一个实际的机会，以解决大规模的解剖详细模型的心脏应力分析。
A three-dimensional finite element method fro nonlinear finite elasticity is presented using prolate spheroidal coordinates. For a thick-walled ellipsoidal model of passive anisotropic left ventricle, a high-order (cubic Hermite) mesh with 3 elements gave accurate continuous stresses and strains, with a 69 percent savings in degrees of freedom (dof) versus a 70-element standard low-order model. A custom mixed-order model offered 55 percent savings in dof and 39 percent savings in solution time compared with the low-order model. A nonsymmetric 3D model of the passive canine LV was solved using 16 high-order elements. Continuous nonhomogeneous stresses and strains were obtained within 1 hour on a laboratory workstation, with an estimated solution time of less than 4 hours to model end-systole. This method represents the first practical opportunity to solve large-scale anatomically detailed models for cardiac stress analysis.