Knots are not for naught: Design, properties, and topology of hierarchical intertwined microarchitected materials

Moestopo, Widianto P.; Shaker, Sammy; Deng, Weiting; Greer, Julia R.

doi:10.1126/sciadv.ade6725

Title: Knots are not for naught: Design, properties, and topology of hierarchical intertwined microarchitected materials

Journal Article · 10 March 2023 · Science Advances

DOI: https://doi.org/10.1126/sciadv.ade6725 · OSTI ID:1983728

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California Institute of Technology (CalTech), Pasadena, CA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States). Materials Engineering Division
California Institute of Technology (CalTech), Pasadena, CA (United States)

Lightweight and tough engineered materials are often designed with three-dimensional hierarchy and interconnected structural members whose junctions are detrimental to their performance because they serve as stress concentrations for damage accumulation and lower mechanical resilience. We introduce a previously unexplored class of architected materials, whose components are interwoven and contain no junctions, and incorporate micro-knots as building blocks within these hierarchical networks. Tensile experiments, which show close quantitative agreements with an analytical model for overhand knots, reveal that knot topology allows a new regime of deformation capable of shape retention, leading to a ~92% increase in absorbed energy and an up to ~107% increase in failure strain compared to woven structures, along with an up to ~11% increase in specific energy density compared to topologically similar monolithic lattices. Our exploration unlocks knotting and frictional contact to create highly extensible low-density materials with tunable shape reconfiguration and energy absorption capabilities.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); National Institutes of Health (NIH); US Department of the Navy, Office of Naval Research (ONR)

Grant/Contract Number:: AC52-07NA27344; T32 GM008042; N00014-22-1-2484

OSTI ID:: 1983728

Report Number(s):: LLNL-JRNL-843684; 1066663

Journal Information:: Science Advances, Vol. 9, Issue 10; ISSN 2375-2548

Publisher:: AAASCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Knots are not for naught: Design, properties, and topology of hierarchical intertwined microarchitected materials

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