FEniCS code describing the numerical implementation of a finite viscoelastic model (nearly incompressible Non Gaussian rubber with nonlinear viscosity). Check out our recent publication incorporating a Neo-Hookean version (with constant viscosity) of this model in a homogenization setting: http://pamies.cee.illinois.edu/Publications_files/JElast2021.pdf
Above is a schematic of a finite element calculation for a uniaxial loading (along the x-axis) of a unit cube with transverse surfaces set traction free.
The main file src/viscoFEM.py contains all the functions with corresponding docstrings. An updated version (ported to dolfinx) is available at src/viscoFEM_dolfinx.py
@article{shrimali2021nonlinear,
title={The nonlinear viscoelastic response of suspensions of vacuous bubbles in rubber: I—Gaussian rubber with constant viscosity},
author={Shrimali, Bhavesh and Ghosh, Kamalendu and Lopez-Pamies, Oscar},
journal={Journal of Elasticity},
pages={1--30},
year={2021},
publisher={Springer}
}
@article{ghosh2021nonlinear,
title={The nonlinear viscoelastic response of suspensions of rigid inclusions in rubber: I—Gaussian rubber with constant viscosity},
author={Ghosh, Kamalendu and Shrimali, Bhavesh and Kumar, Aditya and Lopez-Pamies, Oscar},
journal={Journal of the Mechanics and Physics of Solids},
volume={154},
pages={104544},
year={2021},
publisher={Elsevier}
}
@article{kumar2016two,
title={On the two-potential constitutive modeling of rubber viscoelastic materials},
author={Kumar, Aditya and Lopez-Pamies, Oscar},
journal={Comptes Rendus Mecanique},
volume={344},
number={2},
pages={102--112},
year={2016},
publisher={Elsevier}
}