Journal article 719 views 121 downloads
Viscoelastic up-scaling rank-one effects in in-silico modelling of electro-active polymers
Computer Methods in Applied Mechanics and Engineering, Volume: 389, Start page: 114358
Swansea University Authors:
Francisco Marin, Antonio Gil
-
PDF | Accepted Manuscript
©2021 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND)
Download (12.28MB)
DOI (Published version): 10.1016/j.cma.2021.114358
Abstract
This paper analyses the viscoelastic up-scaling effects in electro-active polymers endowed with amicro-structure architecture in the form of a rank-one laminate. The principles of rank-n homogeneisation and thermodynamical consistency are combined in the context of extremely deformable dielectric el...
| Published in: | Computer Methods in Applied Mechanics and Engineering |
|---|---|
| ISSN: | 0045-7825 |
| Published: |
Elsevier BV
2022
|
| Online Access: |
Check full text
|
| URI: | https://cronfa.swan.ac.uk/Record/cronfa58637 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract: |
This paper analyses the viscoelastic up-scaling effects in electro-active polymers endowed with amicro-structure architecture in the form of a rank-one laminate. The principles of rank-n homogeneisation and thermodynamical consistency are combined in the context of extremely deformable dielectric elastomers actuated well beyond the onset of geometrical instabilities. To ensure the robustness of the resulting methodology, Convex Multi-Variable (CMV) energy density functionals enriched with a nonlinear continuum viscoelastic description are used to describe the physics of the individual microscopic constituents. The high nonlinearity of the visco-electro-mechanical problem is resolved via a monolithic multi-scale Newton-Raphson scheme with a Backward-Euler (implicit) time integration scheme. A tensor cross product operation between vectors and tensors and an additive decomposition of the micro-scale deformation gradient (in terms of macro-scale and fluctuation components) are used to considerably reduce the complexity of the algebra. The resulting computational framework permits to explore the time-dependent in-silico analysis of rank-one electro-active polymer composites exhibiting extremely complex deformation patterns, paying particular attention to viscoelastic up-scaling effects. A comprehensive series of numerical examples is presented, where specially revealing conclusions about the rate-dependency of the composite electro-active polymer are observed as a function of its microstructure orientation and viscoelastic content. In a rectangular film subjected to extreme bending deformation, two different deformation modes are observed with one prevailing mode depending on the laminate composition. For the case of a square membrane where extreme deformation induces buckling, it is shown that the viscoelastic contribution leads to larger values of (stable) deformation, due to the regularisation that viscoelasticity inherently provides. |
|---|---|
| Keywords: |
viscoelasticity, finite element method, nonlinear electro-elasticity, rank-one laminates, electro-active polymer |
| College: |
Faculty of Science and Engineering |
| Start Page: |
114358 |