Verification Process for Finite Element Modeling Techniques Used in Biological Hard Tissue

Molly Townsend, Matthew Mills, N. Sarigul-Klijn
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Abstract

An approach is presented for calculation verification of geometry-based and voxel-based finite element modeling techniques used for biological hard tissue. The purpose of this study is to offer a controlled comparison of geometry- and voxel-based finite element modeling in terms of the convergence (i.e., discretization based on mesh size and/or element order), accuracy, and computational speed in modeling biological hard tissues. All of the geometry-based numerical test models have hp-converged at an acceptable mesh seed length of 0.6mm, while not all voxel-based models exhibited convergence and no voxel models p-converged. Converged geometry-based meshes were found to offer accurate solutions of the deformed model shape and equivalent vertebral stiffness, while voxel-based models were 6.35%±0.84% less stiff (p<0.0001) and deformed 6.79%±0.96% more (p<0.0001). Based on the controlled verification study results, the voxel-based models must be confirmed with local values and validation of quantities of interest to ensure accurate finite element model predictions.
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生物硬组织有限元建模技术的验证过程
提出了一种用于生物硬组织的基于几何和基于体素的有限元建模技术的计算验证方法。本研究的目的是在生物硬组织建模的收敛性(即基于网格大小和/或单元顺序的离散化)、准确性和计算速度方面,对基于几何和基于体素的有限元建模进行控制比较。所有基于几何的数值测试模型都在可接受的0.6mm网格种子长度处具有hp收敛性,而并非所有基于体素的模型都具有收敛性,并且没有体素模型具有p收敛性。基于收敛几何的网格可以准确地解出变形模型的形状和等效椎体刚度,而基于体素的模型刚度降低了6.35%±0.84% (p<0.0001),变形增加了6.79%±0.96% (p<0.0001)。基于控制验证研究结果,必须对基于体素的模型进行局部值和感兴趣量的验证,以确保准确的有限元模型预测。
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