Chiral phase-coexistence in compressed double-twist elastomers

Matthew P. Leighton; Laurent Kreplak; Andrew D. Rutenberg

doi:10.1039/d1sm00181g

Chiral phase-coexistence in compressed double-twist elastomers

Matthew P. Leighton, Laurent Kreplak, Andrew D. Rutenberg

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We adapt the theory of anisotropic rubber elasticity to model cross-linked double-twist liquid crystal cylinders such as exhibited in biological systems. In mechanical extension we recover strain-straightening, but with an exact expression in the small twist-angle limit. In compression, we observe coexistence between high and low twist phases. Coexistence begins at small compressive strains and is robustly observed for any anisotropic cross-links and for general double-twist functions-but disappears at large twist angles. Within the coexistence region, significant compression of double-twist cylinders is allowed at constant stress. Our results are qualitatively consistent with previous observations of swollen or compressed collagen fibrils, indicating that this phenomenon may be readily accessible experimentally.

Original language	English
Pages (from-to)	5018-5024
Number of pages	7
Journal	Soft Matter
Volume	17
Issue number	19
DOIs	https://doi.org/10.1039/d1sm00181g
Publication status	Published - May 21 2021

Bibliographical note

Funding Information:
We thank the Natural Sciences and Engineering Research Council of Canada (NSERC) for operating Grants RGPIN-2018-03781 (LK) and RGPIN-2019-05888 (ADR). MPL thanks NSERC for summer fellowship support (USRA-552365-2020), and a CGS Masters fellowship.

Publisher Copyright:
© 2021 The Royal Society of Chemistry.

ASJC Scopus Subject Areas

General Chemistry
Condensed Matter Physics

PubMed: MeSH publication types

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10.1039/d1sm00181g

Cite this

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title = "Chiral phase-coexistence in compressed double-twist elastomers",

abstract = "We adapt the theory of anisotropic rubber elasticity to model cross-linked double-twist liquid crystal cylinders such as exhibited in biological systems. In mechanical extension we recover strain-straightening, but with an exact expression in the small twist-angle limit. In compression, we observe coexistence between high and low twist phases. Coexistence begins at small compressive strains and is robustly observed for any anisotropic cross-links and for general double-twist functions-but disappears at large twist angles. Within the coexistence region, significant compression of double-twist cylinders is allowed at constant stress. Our results are qualitatively consistent with previous observations of swollen or compressed collagen fibrils, indicating that this phenomenon may be readily accessible experimentally.",

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note = "Funding Information: We thank the Natural Sciences and Engineering Research Council of Canada (NSERC) for operating Grants RGPIN-2018-03781 (LK) and RGPIN-2019-05888 (ADR). MPL thanks NSERC for summer fellowship support (USRA-552365-2020), and a CGS Masters fellowship. Publisher Copyright: {\textcopyright} 2021 The Royal Society of Chemistry.",

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AU - Kreplak, Laurent

AU - Rutenberg, Andrew D.

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Y1 - 2021/5/21

N2 - We adapt the theory of anisotropic rubber elasticity to model cross-linked double-twist liquid crystal cylinders such as exhibited in biological systems. In mechanical extension we recover strain-straightening, but with an exact expression in the small twist-angle limit. In compression, we observe coexistence between high and low twist phases. Coexistence begins at small compressive strains and is robustly observed for any anisotropic cross-links and for general double-twist functions-but disappears at large twist angles. Within the coexistence region, significant compression of double-twist cylinders is allowed at constant stress. Our results are qualitatively consistent with previous observations of swollen or compressed collagen fibrils, indicating that this phenomenon may be readily accessible experimentally.

AB - We adapt the theory of anisotropic rubber elasticity to model cross-linked double-twist liquid crystal cylinders such as exhibited in biological systems. In mechanical extension we recover strain-straightening, but with an exact expression in the small twist-angle limit. In compression, we observe coexistence between high and low twist phases. Coexistence begins at small compressive strains and is robustly observed for any anisotropic cross-links and for general double-twist functions-but disappears at large twist angles. Within the coexistence region, significant compression of double-twist cylinders is allowed at constant stress. Our results are qualitatively consistent with previous observations of swollen or compressed collagen fibrils, indicating that this phenomenon may be readily accessible experimentally.

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Chiral phase-coexistence in compressed double-twist elastomers

Abstract

Bibliographical note

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PubMed: MeSH publication types

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