Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains

Dielectric elastomers, known for their ability to undergo large deformations exceeding 100%, are widely used as actuators in adaptive structures and soft robotics. Within the current contribution, we present a continuum material model that captures the incompressibility and viscous behavior of these...

Full description

Saved in:
Bibliographic Details
Main Author: Kunzemann, Mario (author)
Other Authors: Pechstein, Astrid S. (author), Humer, Alexander (author), Krommer, Michael (author)
Format: article
Published: 2024
Subjects:
Online Access:https://hdl.handle.net/11073/25819
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1864513444529569792
author Kunzemann, Mario
author2 Pechstein, Astrid S.
Humer, Alexander
Krommer, Michael
author2_role author
author
author
author_facet Kunzemann, Mario
Pechstein, Astrid S.
Humer, Alexander
Krommer, Michael
author_role author
dc.creator.none.fl_str_mv Kunzemann, Mario
Pechstein, Astrid S.
Humer, Alexander
Krommer, Michael
dc.date.none.fl_str_mv 2024-11
2025-01-29T08:19:12Z
2025-01-29T08:19:12Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv Kunzemann, M., Pechsteina, A. S., Humer, A., & Krommer, M. (2025, January 23). Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains. https://doi.org/10.5281/zenodo.14725639
https://hdl.handle.net/11073/25819
10.5281/zenodo.14725639
dc.language.none.fl_str_mv en
dc.publisher.none.fl_str_mv American University of Sharjah
dc.relation.none.fl_str_mv 8th International Conference on Smart Materials & Nanotechnology in Engineering (SMN2024)
https://doi.org/10.5281/zenodo.14725639
dc.rights.none.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.subject.none.fl_str_mv Electromechanical coupling
Electro-active polymers
Viscoelasticity
dc.title.none.fl_str_mv Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description Dielectric elastomers, known for their ability to undergo large deformations exceeding 100%, are widely used as actuators in adaptive structures and soft robotics. Within the current contribution, we present a continuum material model that captures the incompressibility and viscous behavior of these polymers under finite s train and e lectric a ctuation. To address l arge deformations, we use a multiplicative decomposition of the deformation gradient to separate elastic and viscous effects. The elastic response is represented by a Yeoh potential, which is well suited to describe the material behavior under large strains. The evolution of internal strains is modeled using a dissipation function. Electric field a nd d ielectric d isplacement a re modeled i n s patial c onfiguration, le ading to an electromechanically coupled problem. We propose a mixed finite e lement f ormulation w ithin a variational framework based on the above thermodynamic principles. We introduce a novel approach using volume-preserving tensor-valued elements for internal strains, where we make use of matrix exponential functions to achieve incompressiblity exactly. As an example, we consider an experimental setup of a three-dimensional circular actuator. We provide material parameters for VHB4910 for the proposed model, and compare our results to experimental data from a different work.
format article
id aus_06898db957998ef4ae4f7abce436aa71
identifier_str_mv Kunzemann, M., Pechsteina, A. S., Humer, A., & Krommer, M. (2025, January 23). Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains. https://doi.org/10.5281/zenodo.14725639
10.5281/zenodo.14725639
language_invalid_str_mv en
network_acronym_str aus
network_name_str aus
oai_identifier_str oai:repository.aus.edu:11073/25819
publishDate 2024
publisher.none.fl_str_mv American University of Sharjah
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
spelling Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite StrainsKunzemann, MarioPechstein, Astrid S.Humer, AlexanderKrommer, MichaelElectromechanical couplingElectro-active polymersViscoelasticityDielectric elastomers, known for their ability to undergo large deformations exceeding 100%, are widely used as actuators in adaptive structures and soft robotics. Within the current contribution, we present a continuum material model that captures the incompressibility and viscous behavior of these polymers under finite s train and e lectric a ctuation. To address l arge deformations, we use a multiplicative decomposition of the deformation gradient to separate elastic and viscous effects. The elastic response is represented by a Yeoh potential, which is well suited to describe the material behavior under large strains. The evolution of internal strains is modeled using a dissipation function. Electric field a nd d ielectric d isplacement a re modeled i n s patial c onfiguration, le ading to an electromechanically coupled problem. We propose a mixed finite e lement f ormulation w ithin a variational framework based on the above thermodynamic principles. We introduce a novel approach using volume-preserving tensor-valued elements for internal strains, where we make use of matrix exponential functions to achieve incompressiblity exactly. As an example, we consider an experimental setup of a three-dimensional circular actuator. We provide material parameters for VHB4910 for the proposed model, and compare our results to experimental data from a different work.American University of Sharjah2025-01-29T08:19:12Z2025-01-29T08:19:12Z2024-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfKunzemann, M., Pechsteina, A. S., Humer, A., & Krommer, M. (2025, January 23). Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains. https://doi.org/10.5281/zenodo.14725639https://hdl.handle.net/11073/2581910.5281/zenodo.14725639en8th International Conference on Smart Materials & Nanotechnology in Engineering (SMN2024)https://doi.org/10.5281/zenodo.14725639Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/oai:repository.aus.edu:11073/258192025-01-30T10:36:30Z
spellingShingle Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains
Kunzemann, Mario
Electromechanical coupling
Electro-active polymers
Viscoelasticity
status_str publishedVersion
title Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains
title_full Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains
title_fullStr Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains
title_full_unstemmed Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains
title_short Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains
title_sort Continuum Modeling and Finite Element Simulation of Incompressible Dielectric Viscoelastic Actuators at Finite Strains
topic Electromechanical coupling
Electro-active polymers
Viscoelasticity
url https://hdl.handle.net/11073/25819