2019
DOI: 10.1038/s41467-019-12757-7
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Random auxetics from buckling fibre networks

Abstract: Auxetic materials have gained increasing interest in the last decades, fostered by auspicious applications in various fields. While the design of new auxetics has largely focused on metamaterials with deterministic, periodically arranged structures, we show here by theoretical and numerical analysis that pronounced auxetic behaviour with negative Poisson's ratios of very large magnitude can occur in random fibre networks with slender, reasonably straight fibre segments that buckle and deflect. We further demon… Show more

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Cited by 39 publications
(19 citation statements)
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References 48 publications
(58 reference statements)
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“…Nevertheless, many key questions have not yet been addressed, or at least not fully. Mathematical modeling of mechanobiology is a fast growing field and could help tremendously in understanding the foundations of mechanical homeostasis (Holzapfel et al 2000;Wakatsuki et al 2000;Humphrey and Rajagopal 2002;Watton et al 2004;Marquez et al 2005;Mauri et al 2016;Loerakker et al 2016;Cyron et al 2016;Braeu et al 2017;Ban et al 2019;Domaschke et al 2019;Eichinger et al 2021a, b). To support mathematical modeling, it will be particularly important to collect larger sets of reliable quantitative experimental data, especially about bi-or triaxial mechanical states.…”
Section: Discussionmentioning
confidence: 99%
“…Nevertheless, many key questions have not yet been addressed, or at least not fully. Mathematical modeling of mechanobiology is a fast growing field and could help tremendously in understanding the foundations of mechanical homeostasis (Holzapfel et al 2000;Wakatsuki et al 2000;Humphrey and Rajagopal 2002;Watton et al 2004;Marquez et al 2005;Mauri et al 2016;Loerakker et al 2016;Cyron et al 2016;Braeu et al 2017;Ban et al 2019;Domaschke et al 2019;Eichinger et al 2021a, b). To support mathematical modeling, it will be particularly important to collect larger sets of reliable quantitative experimental data, especially about bi-or triaxial mechanical states.…”
Section: Discussionmentioning
confidence: 99%
“…The aforementioned two metal 3D printing techniques are the powder‐based manufacturing processes where electron beam or laser is applied to selectively melt metallic powder layer by layer, and melt powder bonds together to form the final 3D structure. In addition to these typical AM methods, several novel 3D printing techniques have been also explored to fabricate AMMs, such as direct‐write 3D printing, 3D laser microprinting, and electrospinning . Buckmann et al applied a new approach called “dip‐in” 3D direct laser writing (DLW) for fabricating 3D re‐entrant structures with submicrometer scale.…”
Section: Manufacturing Methods and Materialsmentioning
confidence: 99%
“…In addition to these typical AM methods, several novel 3D printing techniques have been also explored to fabricate AMMs, such as direct-write 3D printing, [134] 3D laser microprinting, [50] and electrospinning. [135,136] Buckmann et al [137] applied a new approach called "dip-in" 3D direct laser writing (DLW) for fabricating 3D re-entrant structures with submicrometer scale. This approach completely overcame the limitation that usual 3D DLW could only print structures with tens of micrometer height.…”
Section: Additive Manufacturingmentioning
confidence: 99%
“…Recently, studies have identified the benefits of using auxetic materials in skin healing [85]. Skin healing is facilitated by the migration of cells to the wound site.…”
Section: Liquid Crystal Elastomers For Biomedical Applicationsmentioning
confidence: 99%