The defect sensitivity of brittle truss-based metamaterials

Architected strut-based metamaterials fabricated via three-dimensional printing exhibit a wide range of geometric and material heterogeneity, including variations in strut size, surface roughness, embedded micro-cracks and disconnected struts. The locations and severity of these defects are highly v...

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Main Authors: Patrick Ziemke, Owen Finney, Ryan G. Chambers, Raphael Thiraux, Lorenzo Valdevit, Matthew R. Begley
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:Materials & Design
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0264127524001485
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author Patrick Ziemke
Owen Finney
Ryan G. Chambers
Raphael Thiraux
Lorenzo Valdevit
Matthew R. Begley
author_facet Patrick Ziemke
Owen Finney
Ryan G. Chambers
Raphael Thiraux
Lorenzo Valdevit
Matthew R. Begley
author_sort Patrick Ziemke
collection DOAJ
description Architected strut-based metamaterials fabricated via three-dimensional printing exhibit a wide range of geometric and material heterogeneity, including variations in strut size, surface roughness, embedded micro-cracks and disconnected struts. The locations and severity of these defects are highly variable; combined with the complexity of the structure itself, it is exceedingly difficult to identify critical defects that limit performance and inform qualification protocols. To address this challenge, we consider the impact of distributions of defects for various strut-based lattice topologies. The role of defects is analyzed using Weibull distributions of strut failure strains. We relate the statistical distributions of strut properties to macroscopic stress-strain performance, using high through-put finite element predictions in thousands of virtual tests. Increasing the prevalence of defects decreases macroscopic strength; however, this has the complementary effect of introducing apparent ductility, i.e. load capacity even after the onset of strut failures. Hence, there is a trade-off between achieving high strength and gradual loss of stiffness that is desirable for thermal loading or lattice cores. Predictions of average strength as a function of Weibull modulus provide knock-down factors relative to the defect-free strength. In turn, these clearly identify quantitative processing targets to mitigate the impact of defects.
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spelling doaj.art-cab2df55e0bf4cec9d69028e897a5a4e2024-03-20T06:08:19ZengElsevierMaterials & Design0264-12752024-03-01239112776The defect sensitivity of brittle truss-based metamaterialsPatrick Ziemke0Owen Finney1Ryan G. Chambers2Raphael Thiraux3Lorenzo Valdevit4Matthew R. Begley5University of California Santa Barbara, Santa Barbara, 93106 CA, USA; Corresponding author.University of California Santa Barbara, Santa Barbara, 93106 CA, USAUniversity of California Santa Barbara, Santa Barbara, 93106 CA, USAUniversity of California Irvine, Irvine, CA 92697, USAUniversity of California Irvine, Irvine, CA 92697, USAUniversity of California Santa Barbara, Santa Barbara, 93106 CA, USA; Principal corresponding author.Architected strut-based metamaterials fabricated via three-dimensional printing exhibit a wide range of geometric and material heterogeneity, including variations in strut size, surface roughness, embedded micro-cracks and disconnected struts. The locations and severity of these defects are highly variable; combined with the complexity of the structure itself, it is exceedingly difficult to identify critical defects that limit performance and inform qualification protocols. To address this challenge, we consider the impact of distributions of defects for various strut-based lattice topologies. The role of defects is analyzed using Weibull distributions of strut failure strains. We relate the statistical distributions of strut properties to macroscopic stress-strain performance, using high through-put finite element predictions in thousands of virtual tests. Increasing the prevalence of defects decreases macroscopic strength; however, this has the complementary effect of introducing apparent ductility, i.e. load capacity even after the onset of strut failures. Hence, there is a trade-off between achieving high strength and gradual loss of stiffness that is desirable for thermal loading or lattice cores. Predictions of average strength as a function of Weibull modulus provide knock-down factors relative to the defect-free strength. In turn, these clearly identify quantitative processing targets to mitigate the impact of defects.http://www.sciencedirect.com/science/article/pii/S0264127524001485Weibull statisticsTruss latticeBrittle fractureDefect sensitivity
spellingShingle Patrick Ziemke
Owen Finney
Ryan G. Chambers
Raphael Thiraux
Lorenzo Valdevit
Matthew R. Begley
The defect sensitivity of brittle truss-based metamaterials
Materials & Design
Weibull statistics
Truss lattice
Brittle fracture
Defect sensitivity
title The defect sensitivity of brittle truss-based metamaterials
title_full The defect sensitivity of brittle truss-based metamaterials
title_fullStr The defect sensitivity of brittle truss-based metamaterials
title_full_unstemmed The defect sensitivity of brittle truss-based metamaterials
title_short The defect sensitivity of brittle truss-based metamaterials
title_sort defect sensitivity of brittle truss based metamaterials
topic Weibull statistics
Truss lattice
Brittle fracture
Defect sensitivity
url http://www.sciencedirect.com/science/article/pii/S0264127524001485
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