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This analysis aims to evaluate and compare the performance of two smoothed finite element methods in large deformation analyses.

March 26, 2026Open Access

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Performance comparison of two next-gen tetrahedral smoothed finite element methods

YOYuki OnishiNational Institute of Informatics

Key Points

This analysis aims to evaluate and compare the performance of two smoothed finite element methods in large deformation analyses.
Evaluated two methods: EC-SSE-SRI-T4 and FC-SSE-SRI-T4.
Conducted analyses with a focus on nearly incompressible materials.
Varied initial Poisson’s ratio set at 0.49 to assess performance.
FC-SSE-SRI-T4 shown to reduce computational cost compared to EC-SSE-SRI-T4.
EC-SSE-SRI-T4 maintained higher accuracy in deviatoric strain and stress calculations.
A clear trade-off between computational cost and accuracy identified.

Abstract

The performance of the two next-gen tetrahedral smoothed finite element methods (EC-SSE-SRI-T4 and FC-SSE-SRI-T4) is evaluated in nearly incompressible large deformation analyses. There is a trade-off between computational cost and accuracy; thus, using FC-SSE-SRI-T4 instead of EC-SSE-SRI-T4 is expected to reduce computational cost at the loss of certain accuracy in deviatoric strain/stress. By comparing the analysis results with an initial Poisson’s ratio of 0.49, the pros and cons of the two formulations are clarified.

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Performance comparison of two next-gen tetrahedral smoothed finite element methods

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