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小梁骨隐式和显式非线性有限元模拟的高性能计算比较

High-Performance Computing Comparison of Implicit and Explicit Nonlinear Finite Element Simulations of Trabecular Bone.

作者信息

Sabet Fereshteh A, Koric Seid, Idkaidek Ashraf, Jasiuk Iwona

机构信息

Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.

Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA; National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.

出版信息

Comput Methods Programs Biomed. 2021 Mar;200:105870. doi: 10.1016/j.cmpb.2020.105870. Epub 2020 Nov 23.

Abstract

BACKGROUND AND OBJECTIVE

Finite element models built from micro-computed tomography scans have become a powerful tool to investigate the mechanical properties of trabecular bone. There are two types of solving algorithms in the finite element method: implicit and explicit. Both of these methods have been utilized to study the trabecular bone. However, an investigation comparing the results obtained using the implicit and explicit solvers is lacking. Thus, in this paper, we contrast implicit and explicit procedures by analyzing trabecular bone samples as a case study.

METHODS

Micro-computed tomography-based finite element analysis of trabecular bone under a direct quasi-static compression was done using implicit and explicit methods. The differences in the predictions of mechanical properties and computational time of the two methods were studied using high-performance computing.

RESULTS

Our findings indicate that the results using implicit and explicit solvers are well comparable, given that similar problem set up is carefully utilized. Also, the parallel scalability of the two methods was similar, while the explicit solver performed about five times faster than the implicit method. Along with faster performance, the explicit method utilized significantly less memory for the analysis, which shows another benefit of using an explicit solver for this case study.

CONCLUSIONS

The comparison of the implicit and explicit methods for the simulation of trabecular bone samples should be highly valuable to the bone modeling community and researchers studying complex cellular and architectured materials.

摘要

背景与目的

基于微计算机断层扫描构建的有限元模型已成为研究小梁骨力学性能的有力工具。有限元方法中有两种求解算法:隐式算法和显式算法。这两种方法都已被用于研究小梁骨。然而,缺乏对使用隐式和显式求解器所获结果进行比较的研究。因此,在本文中,我们以小梁骨样本分析为例,对比隐式和显式方法。

方法

使用隐式和显式方法对小梁骨在直接准静态压缩下进行基于微计算机断层扫描的有限元分析。利用高性能计算研究两种方法在力学性能预测和计算时间方面的差异。

结果

我们的研究结果表明,若仔细采用相似的问题设置,使用隐式和显式求解器得到的结果具有良好的可比性。此外,两种方法的并行可扩展性相似,而显式求解器的运行速度比隐式方法快约五倍。除了性能更快外,显式方法在分析中使用的内存显著更少,这显示了在此案例研究中使用显式求解器的另一个优势。

结论

隐式和显式方法在小梁骨样本模拟中的比较,对于骨建模领域以及研究复杂细胞和结构材料的研究人员而言具有很高的价值。

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