Finite element limit analysis

HI there,

I would like to understand the capabilities of Fenics with regards to what is referred to as finite element limit analysis. It is commonly deployed when calculating collaspe loads, rather than defomations.

In this type of FE analysis, the elements have unique nodes, i.e. they do not share them with adjacent elements. A set of constraints are applied both in terms of equilibrium and plastic yielding and linear/nonlinear programming techniques are employed to find maxium loads.

Any constructive thoughts would be appreciated.

Regards,
Brendan

Hi,
I am currently working on limit analysis in FEniCS and coupling with Mosek for the numerical solution. Some papers and code are in preparation, we can keep in touch if you are interested.
Best regards
Jeremy Bleyer

Hi Jeremy

That would much appreciated.

Best regards

Brendan

Hi,
sorry for the late update. We just released a paper on arXiv for finite element limit analysis using FEniCS with the fenics_optim package v1.1
https://arxiv-org.insis.bib.cnrs.fr/abs/2005.04779
Accompanying code can be found here:
https://zenodo.org/record/3778848/files/fenics-optim-v1.1-f9276383b1cc72a82a1c14aee340045f9d581401.zip?download=1

Good job! Thank you very much!