Mixed Shell Elements for Incompressible Viscoelastic Dielectric Elastomers

The focus of this work lies on modeling and simulation of thin dielectric viscoelastic structures undergoing large deformations of 100% and beyond. A shell formulation is developed that incorporates the necessary kinematic and constitutive features to capture the structure’s characteristics under tr...

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Bibliographic Details
Main Author: Platzer, Sebastian (author)
Other Authors: Pechstein, Astrid (author), Humer, Alexander (author), Krommer, Michael (author)
Format: article
Published: 2024
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Online Access:https://hdl.handle.net/11073/25827
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Summary:The focus of this work lies on modeling and simulation of thin dielectric viscoelastic structures undergoing large deformations of 100% and beyond. A shell formulation is developed that incorporates the necessary kinematic and constitutive features to capture the structure’s characteristics under transient electric loads. This includes the incorporation of not only elastic and viscous membrane strains and curvature, but also thickness deformation and variation of the electric field through the thickness. A model based on the second principle of thermodynamics is presented, which is then discretized using low-regularity shell elements in a variational setting. Computational results prove the accuracy and efficiency of the proposed method.