Constitutive formulations for intrinsic anisotropy in soft electroelastic materials
Abstract Inspired by biology and engineered soft active material systems, we propose a new constitutive formulation for a soft material consisting of soft contractile fibers embedded in a soft matrix. The mathematical implementation of the model is based on a multi-field invariant formulation within...
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Nature Portfolio
2023-09-01
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Series: | Scientific Reports |
Online Access: | https://doi.org/10.1038/s41598-023-37946-9 |
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author | Yali Li Nakhiah C. Goulbourne |
author_facet | Yali Li Nakhiah C. Goulbourne |
author_sort | Yali Li |
collection | DOAJ |
description | Abstract Inspired by biology and engineered soft active material systems, we propose a new constitutive formulation for a soft material consisting of soft contractile fibers embedded in a soft matrix. The mathematical implementation of the model is based on a multi-field invariant formulation within a nonlinear continuum mechanics framework. The coupled constitutive formulation highlights a new electromechanical coupling term that describes the intrinsic (or active) anisotropy due to the contractile units. The model demonstrates the relative role that intrinsic anisotropy plays in the overall stress response. The resulting formulation could be used to design and inspire the development of new soft material systems that seek to replicate three dimensional biological motion. |
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format | Article |
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institution | Directory Open Access Journal |
issn | 2045-2322 |
language | English |
last_indexed | 2024-03-10T17:51:04Z |
publishDate | 2023-09-01 |
publisher | Nature Portfolio |
record_format | Article |
series | Scientific Reports |
spelling | doaj.art-9aaf72b269bb456281149d3a9abebe392023-11-20T09:21:45ZengNature PortfolioScientific Reports2045-23222023-09-0113111410.1038/s41598-023-37946-9Constitutive formulations for intrinsic anisotropy in soft electroelastic materialsYali Li0Nakhiah C. Goulbourne1University of MichiganUniversity of MichiganAbstract Inspired by biology and engineered soft active material systems, we propose a new constitutive formulation for a soft material consisting of soft contractile fibers embedded in a soft matrix. The mathematical implementation of the model is based on a multi-field invariant formulation within a nonlinear continuum mechanics framework. The coupled constitutive formulation highlights a new electromechanical coupling term that describes the intrinsic (or active) anisotropy due to the contractile units. The model demonstrates the relative role that intrinsic anisotropy plays in the overall stress response. The resulting formulation could be used to design and inspire the development of new soft material systems that seek to replicate three dimensional biological motion.https://doi.org/10.1038/s41598-023-37946-9 |
spellingShingle | Yali Li Nakhiah C. Goulbourne Constitutive formulations for intrinsic anisotropy in soft electroelastic materials Scientific Reports |
title | Constitutive formulations for intrinsic anisotropy in soft electroelastic materials |
title_full | Constitutive formulations for intrinsic anisotropy in soft electroelastic materials |
title_fullStr | Constitutive formulations for intrinsic anisotropy in soft electroelastic materials |
title_full_unstemmed | Constitutive formulations for intrinsic anisotropy in soft electroelastic materials |
title_short | Constitutive formulations for intrinsic anisotropy in soft electroelastic materials |
title_sort | constitutive formulations for intrinsic anisotropy in soft electroelastic materials |
url | https://doi.org/10.1038/s41598-023-37946-9 |
work_keys_str_mv | AT yalili constitutiveformulationsforintrinsicanisotropyinsoftelectroelasticmaterials AT nakhiahcgoulbourne constitutiveformulationsforintrinsicanisotropyinsoftelectroelasticmaterials |