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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Format: | Article |
Language: | English |
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Elsevier
2024-03-01
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Series: | Materials & Design |
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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. |
first_indexed | 2024-03-07T18:37:36Z |
format | Article |
id | doaj.art-cab2df55e0bf4cec9d69028e897a5a4e |
institution | Directory Open Access Journal |
issn | 0264-1275 |
language | English |
last_indexed | 2024-04-24T22:21:48Z |
publishDate | 2024-03-01 |
publisher | Elsevier |
record_format | Article |
series | Materials & Design |
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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