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Example finite element codes for coupled theories in solid mechanics.

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# Coupled theories FEniCS codes (Research release)
A collection of FEniCS finite element codes for a wide array of coupled-physics theories in solid mechanics.

Constructed by Eric M. Stewart and  Lallit Anand.

A selection of example codes are currently provided for: 
1. Finite elasticity
2. Finite thermo-elasticity
3. Gel mechanics
4. Gel thermo-mechanics
5. Chemo-mechanically coupled Cahn-Hilliard
6. Electro-elasticity of dielectric elastomers
7. Finite deformation viscoelasticity with inertial effects
8. Electro-viscoelasticity of dielectric elastomers with inertial effects
9. Finite deformation rate-independent isotropic plasticity

![](https://github.com/SolidMechanicsCoupledTheories/example_codes/blob/main/example_animation.gif)

## Running the codes

We recommend running the FEniCS codes locally and using ParaView to visualize the results. Local installation can be quite tricky and is highly platform-dependent; my FEniCS installation instructions for Mac and Windows machines are available here:
- https://www.ericmstewart.com/fenics

Alternatively, you can run any FEniCS *.py code hosted on a public GitHub repository "in the cloud" (in your web browser, without a local installation) by following the instructions in this Google Colab web notebook:
 - https://colab.research.google.com/drive/1ut8XomA4tCFo6Lg3CWTHLROACAdf_Gq_?usp=sharing

## Citation

If you use these codes in your own research, cite both of the following:

- E. M. Stewart and L. Anand. Example codes for coupled theories in solid mechanics, 2023. URL https://github.com/SolidMechanicsCoupledTheories/example_codes.

- L. Anand, E.M. Stewart, & S.A. Chester. _Introduction to coupled theories in solid mechanics_. Oxford University Press, 2026.

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