Programming bistability in geometrically perturbed mechanical metamaterials

Fuente: arXiv
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Autori principali: Peng, Yingchao, Niloy, Imtiar, Kam, Megan, Celli, Paolo, Plucinsky, Paul
Natura: Preprint
Pubblicazione: 2024
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author Peng, Yingchao
Niloy, Imtiar
Kam, Megan
Celli, Paolo
Plucinsky, Paul
author_facet Peng, Yingchao
Niloy, Imtiar
Kam, Megan
Celli, Paolo
Plucinsky, Paul
contents Mechanical metamaterials capable of large deformations are an emerging platform for functional devices and structures across scales. Bistable designs are particularly attractive since they endow a single object with two configurations that display distinct shapes, properties and functionalities. We propose a strategy that takes a common (non-bistable) metamaterial design and transforms it into a bistable one, specifically, by allowing for irregular patterns through geometric perturbations of the unit cell and by leveraging the intercell constraints inherent to the large deformation response of metamaterials. We exemplify this strategy by producing a design framework for bistable planar kirigami metamaterials starting from the canonical rotating-squares pattern. The framework comprises explicit design formulas for cell-based kirigami with unprecedented control over the shape of the two stable states, and an optimization methodology that allows for efficient tailoring of the geometric features of the designs to achieve target elastic properties as well as shape change. The versatility of this framework is illustrated through a wide variety of examples, including non-periodic designs that achieve two arbitrarily-shaped stable states. Quantitative and qualitative experiments, featuring prototypes with distinct engineering design details, complement the theory and shine light on the strengths and limitations of our design approach. These results show how to design bistable metamaterials from non-bistable templates, paving the way for further discovery of bistable systems and structures that are not simply arrangements of known bistable units.
format Preprint
id arxiv_https___arxiv_org_abs_2401_07881
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Programming bistability in geometrically perturbed mechanical metamaterials
Peng, Yingchao
Niloy, Imtiar
Kam, Megan
Celli, Paolo
Plucinsky, Paul
Soft Condensed Matter
Mechanical metamaterials capable of large deformations are an emerging platform for functional devices and structures across scales. Bistable designs are particularly attractive since they endow a single object with two configurations that display distinct shapes, properties and functionalities. We propose a strategy that takes a common (non-bistable) metamaterial design and transforms it into a bistable one, specifically, by allowing for irregular patterns through geometric perturbations of the unit cell and by leveraging the intercell constraints inherent to the large deformation response of metamaterials. We exemplify this strategy by producing a design framework for bistable planar kirigami metamaterials starting from the canonical rotating-squares pattern. The framework comprises explicit design formulas for cell-based kirigami with unprecedented control over the shape of the two stable states, and an optimization methodology that allows for efficient tailoring of the geometric features of the designs to achieve target elastic properties as well as shape change. The versatility of this framework is illustrated through a wide variety of examples, including non-periodic designs that achieve two arbitrarily-shaped stable states. Quantitative and qualitative experiments, featuring prototypes with distinct engineering design details, complement the theory and shine light on the strengths and limitations of our design approach. These results show how to design bistable metamaterials from non-bistable templates, paving the way for further discovery of bistable systems and structures that are not simply arrangements of known bistable units.
title Programming bistability in geometrically perturbed mechanical metamaterials
topic Soft Condensed Matter
url https://arxiv.org/abs/2401.07881