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

Fereshteh A Sabet¹, Seid Koric², Ashraf Idkaidek¹

¹Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.

Computer Methods and Programs in Biomedicine

|December 7, 2020

Summary

Comparing implicit and explicit solvers for finite element analysis of trabecular bone shows comparable results. The explicit solver offers significant advantages in speed and memory usage for bone mechanical property analysis.

Keywords:

Explicit solver High performance computing Implicit solver Nonlinear finite element analysis Trabecular bone

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Area of Science:

Biomechanics
Computational modeling
Materials science

Background:

Finite element models (FEM) from micro-computed tomography (micro-CT) scans are crucial for studying trabecular bone mechanics.
Implicit and explicit solvers are common FEM algorithms, both applied to bone research.
A direct comparison of implicit versus explicit solver outcomes for trabecular bone is currently lacking.

Purpose of the Study:

To contrast implicit and explicit finite element procedures.
To analyze trabecular bone samples as a case study for comparing solver methods.
To evaluate differences in mechanical property predictions and computational efficiency.

Main Methods:

Micro-computed tomography-based finite element analysis of trabecular bone.
Direct quasi-static compression simulations.
Comparison of implicit and explicit solver methods using high-performance computing.

Main Results:

Implicit and explicit solvers yield comparable mechanical property predictions when problem setups are consistent.
Both methods exhibit similar parallel scalability.
The explicit solver demonstrated approximately five times faster computation and significantly lower memory utilization compared to the implicit method.

Conclusions:

The explicit solver presents a more efficient alternative for trabecular bone finite element analysis.
Findings are valuable for the bone modeling community and researchers in cellular and architectured materials.
This comparison aids in selecting appropriate computational methods for bone mechanical studies.