Over the last decade or so, researchers at Swansea University have been working actively at developing first order conservation laws for large strain explicit solid dynamics. Various spatial discretisation schemes have been explored including:
This novel mixed formulation overcomes the drawbacks associated with conventional displacement-based Finite Element and Finite Volume formulations including equal order of convergence for stresses and strains, improved performance for nearly incompressible materials and elimination of hour-glassing modes.
Explicit solid dynamics in OpenFOAM
During the last few years I have been actively working (mostly as part of my doctorate degree) in developing a solid dynamics toolkit within the context of cell centred Finite Volume Method. For practicality purposes, it was decided to implement the proposed framework in the popular CFD code OpenFOAM. I am now pleased to announce the open source release of the explicitSolidDynamics toolkit via GitHub. The key features of the toolkit are:
GitHub repository: https://github.com/jibranhaider/explicitSolidDynamics
Toolkit manual: https://github.com/jibranhaider/explicitSolidDynamics/wiki/Manual-for-explicitSolidDynamics-toolkit
Last but not the least I would like to acknowledge the supervision and guidance of the following personalities without whom all of this would not be possible.