Hyperbolic origami-inspired folding of triply periodic minimal surface structures

Callens, Sebastien J.P.; Tümer, N.; Zadpoor, Amir A.

doi:10.1016/j.apmt.2019.03.007

Cited by 31 publications

(15 citation statements)

References 36 publications

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“…Indeed, the fact that surface curvature highly influences tissue regeneration is a relatively recent discovery, which has been gaining more traction within the last few years. [105][106][107][108][109][110][111][112][113] Since the mean surface curvature of trabecular bone is close to zero, 64,114 it is often assumed 63,[115][116][117] that origami-based meta-biomaterials need to be able to achieve such a surface curvature in order to maximize their potential for enhancing the tissue regeneration performance of orthopedic implants.…”

Section: Folding Strategies and Foldabilitymentioning

confidence: 99%

“…6d and e). 116 Using a pre-stretched sheet and the concept of kinematic joints, this approach, enables transforming the shape of the meta-biomaterials from a flat Euclidian state to a complex three-dimensional shape that belongs to the realm of hyperbolic geometry and is suitable for imparting the unusual properties expected from meta-biomaterials.…”

Section: Folding Strategies and Foldabilitymentioning

confidence: 99%

“…104 (b) The lattice structures based on triply periodic minimal surfaces have a mean surface curvature of zero and belong to the realm of hyperbolic geometry. 116 (c) The folding of lattice structures based on triply periodic minimal surfaces from a flat state. 116 (d) Frames incorporating joints combined with a pre-stretched sheet are used to fold the patches making up the minimal surfaces from a flat state.…”

Section: Self-foldingmentioning

confidence: 99%

“…116 (c) The folding of lattice structures based on triply periodic minimal surfaces from a flat state. 116 (d) Frames incorporating joints combined with a pre-stretched sheet are used to fold the patches making up the minimal surfaces from a flat state. Micro-computed tomography measurements of the surface curvature confirm the near-zero mean curvatures achieved using this approach.…”

Section: Self-foldingmentioning

confidence: 99%

“…Micro-computed tomography measurements of the surface curvature confirm the near-zero mean curvatures achieved using this approach. 116 (e) Joining patches together to create a larger frame allows for the folding of unit cells and lattice structures from a flat state. 116 materials.…”

Section: Self-foldingmentioning

confidence: 99%

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2020

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Section: Folding Strategies and Foldabilitymentioning

confidence: 99%

Section: Folding Strategies and Foldabilitymentioning

confidence: 99%

Section: Self-foldingmentioning

confidence: 99%

Section: Self-foldingmentioning

confidence: 99%

Section: Self-foldingmentioning

confidence: 99%

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Zadpoor

2020

Biomater. Sci.

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2022

4D Printing 2

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Decoupling Minimal Surface Metamaterial Properties Through Multi‐Material Hyperbolic Tilings

Callens

Arns

Kuliesh

et al. 2021

Adv Funct Materials

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Rapid advances in additive manufacturing have kindled widespread interest in the rational design of metamaterials with unique properties over the past decade. However, many applications require multi-physics metamaterials, where multiple properties are simultaneously optimized. This is challenging since different properties, such as mechanical and mass transport properties, typically impose competing requirements on the nano-/micro-/ meso-architecture of metamaterials. Here, a parametric metamaterial design strategy that enables independent tuning of the effective permeability and elastic properties is proposed. Hyperbolic tiling theory is applied to devise simple templates, based on which triply periodic minimal surfaces (TPMS) are partitioned into hard and soft regions. Through computational analyses, it is demonstrated how the decoration of hard, soft, and void phases within the TPMS substantially enhances their permeability-elasticity property space and offers high tunability in the elastic properties and anisotropy at constant permeability. Also shown is that this permeability-elasticity balance is well captured using simple scaling laws. The proposed concept is demonstrated through multi-material additive manufacturing of representative specimens. The approach, which is generalizable to other designs, offers a route towards multi-physics metamaterials that need to simultaneously carry a load and enable mass transport, such as load-bearing heat exchangers or architected tissue-substituting meta-biomaterials.

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Hyperbolic origami-inspired folding of triply periodic minimal surface structures

Cited by 31 publications

References 36 publications

Meta-biomaterials

Meta-biomaterials

Getting Things Moving

Decoupling Minimal Surface Metamaterial Properties Through Multi‐Material Hyperbolic Tilings

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