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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Main Authors: Yali Li, Nakhiah C. Goulbourne
Format: Article
Language:English
Published: Nature Portfolio 2023-09-01
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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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