Comparison of hexahedral and tetrahedral elements in finite element analysis of the foot and footwear.
Comparison of hexahedral and tetrahedral elements in finite element analysis of the foot and footwear.
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DOI：
10.1016/j.jbiomech.2011.05.006
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发表时间：
2011-08-11
影响因子：
2.4
通讯作者：
Cavanagh PR
中科院分区：
文献类型：
--
作者：
Tadepalli SC;Erdemir A;Cavanagh PR
有限元分析已广泛应用于足部和鞋类生物力学领域，以确定足底压力以及软组织和鞋类材料内的应力和应变。在处理足部等解剖结构时，由于分支和嵌入结构带来的几何复杂性，六面体网格生成占用了大部分模型开发时间。四面体网格划分更容易实现自动化，是迄今为止足部和鞋类生物力学的首选方法。在这里，我们使用非线性有限元程序 Abaqus（Simulia，Providence，RI）来研究四面体和六面体单元在压缩和剪切载荷、材料不可压缩性以及足部和鞋类生物力学中常见的摩擦接触条件下的优缺点。这项研究表明，在一系列模拟条件下，混合六面体单元 (Abaqus C3D8H) 始终表现良好，而混合线性四面体单元 (Abaqus C3D4H) 表现较差。另一方面，具有改进的应力可视化功能的增强型二次四面体单元 (Abaqus C3D10I) 在接触压力和接触剪应力预测方面的表现与混合六面体单元一样。尽管在赤脚和鞋类条件下，与六面体单元模拟相比，增强型二次四面体单元模拟的计算成本较高，但由于减少了劳动力并加快了模型开发，增强型二次四面体单元公式对于脚和鞋类应用似乎非常有前景。
Finite element analysis has been widely used in the field of foot and footwear biomechanics to determine plantar pressures as well as stresses and strains within soft tissue and footwear materials. When dealing with anatomical structures such as the foot, hexahedral mesh generation accounts for most of the model development time due to geometric complexities imposed by branching and embedded structures. Tetrahedral meshing, which can be more easily automated, has been the approach of choice to date in foot and footwear biomechanics. Here, we use the nonlinear Finite Element program Abaqus (Simulia, Providence, RI) to examine the advantages and disadvantages of tetrahedral and hexahedral elements under compression and shear loading, material incompressibility, and frictional contact conditions which are commonly seen in foot and footwear biomechanics. This study demonstrated that for a range of simulation conditions, hybrid hexahedral elements (Abaqus C3D8H) consistently performed well while hybrid linear tetrahedral elements (Abaqus C3D4H) performed poorly. On the other hand, enhanced quadratic tetrahedral elements with improved stress visualization (Abaqus C3D10I) performed as well as the hybrid hexahedral elements in terms of contact pressure and contact shear stress predictions. Although the enhanced quadratic tetrahedral element simulations were computationally expensive compared to hexahedral element simulations in both barefoot and footwear conditions, the enhanced quadratic tetrahedral element formulation seems to be very promising for foot and footwear applications as a result of decreased labor and expedited model development.
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