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Finite element modeling of the free boundary effect on gyroid additively manufactured samples.

Publication ,  Journal Article
Mathey, E; Heimbrook, A; Carpenter, RD; Kelly, CN; Gall, K
Published in: Computer methods in biomechanics and biomedical engineering
July 2025

There is a significant need for models that can capture the mechanical behavior of complex porous lattice architectures produced by 3D printing. The free boundary effect is an experimentally observed behavior of lattice architectures including the gyroid triply periodic minimal surface where the number of unit cell repeats has been shown to influence the mechanical performance of the lattice. The purpose of this study is to use finite element modeling to investigate how architecture porosity, unit cell size, and sample size dictate mechanical behavior. Samples with varying porosity and increasing number of unit cells (relative to sample size) were modeled under an axial compressive load to determine the effective modulus. The finite element model captured the free boundary effect and captured experimental trends in the structure's modulus. The findings of this study show that samples with higher porosity are more susceptible to the impact of the free boundary effect and in some samples, the modulus can be 20% smaller in samples with smaller numbers of unit cell repeats within a given sample boundary. The outcomes from this study provide a deeper understanding of the gyroid structure and the implications of design choices including porosity, unit cell size, and overall sample size.

Duke Scholars

Published In

Computer methods in biomechanics and biomedical engineering

DOI

EISSN

1476-8259

ISSN

1025-5842

Publication Date

July 2025

Volume

28

Issue

9

Start / End Page

1477 / 1488

Related Subject Headings

  • Stress, Mechanical
  • Printing, Three-Dimensional
  • Porosity
  • Finite Element Analysis
  • Biomedical Engineering
  • 4901 Applied mathematics
  • 4003 Biomedical engineering
  • 1105 Dentistry
  • 0903 Biomedical Engineering
 

Citation

APA
Chicago
ICMJE
MLA
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Mathey, E., Heimbrook, A., Carpenter, R. D., Kelly, C. N., & Gall, K. (2025). Finite element modeling of the free boundary effect on gyroid additively manufactured samples. Computer Methods in Biomechanics and Biomedical Engineering, 28(9), 1477–1488. https://doi.org/10.1080/10255842.2024.2326929
Mathey, Elizabeth, Amanda Heimbrook, R. D. Carpenter, Cambre N. Kelly, and Ken Gall. “Finite element modeling of the free boundary effect on gyroid additively manufactured samples.Computer Methods in Biomechanics and Biomedical Engineering 28, no. 9 (July 2025): 1477–88. https://doi.org/10.1080/10255842.2024.2326929.
Mathey E, Heimbrook A, Carpenter RD, Kelly CN, Gall K. Finite element modeling of the free boundary effect on gyroid additively manufactured samples. Computer methods in biomechanics and biomedical engineering. 2025 Jul;28(9):1477–88.
Mathey, Elizabeth, et al. “Finite element modeling of the free boundary effect on gyroid additively manufactured samples.Computer Methods in Biomechanics and Biomedical Engineering, vol. 28, no. 9, July 2025, pp. 1477–88. Epmc, doi:10.1080/10255842.2024.2326929.
Mathey E, Heimbrook A, Carpenter RD, Kelly CN, Gall K. Finite element modeling of the free boundary effect on gyroid additively manufactured samples. Computer methods in biomechanics and biomedical engineering. 2025 Jul;28(9):1477–1488.

Published In

Computer methods in biomechanics and biomedical engineering

DOI

EISSN

1476-8259

ISSN

1025-5842

Publication Date

July 2025

Volume

28

Issue

9

Start / End Page

1477 / 1488

Related Subject Headings

  • Stress, Mechanical
  • Printing, Three-Dimensional
  • Porosity
  • Finite Element Analysis
  • Biomedical Engineering
  • 4901 Applied mathematics
  • 4003 Biomedical engineering
  • 1105 Dentistry
  • 0903 Biomedical Engineering