StatFEMEUCLID
This package provides tooling for statFEM-EUCLID[1], which combines the statistical finite element method (statFEM)[2] and EUCLID (Efficient Unsupervides Constitutive Law Identification and Discovery)[3] for unsupervised constitutive model discovery. Instead of 'hard-wiring' a single finite element software, the package is able to use any solver as a black box through a UM-Bridge interface.
Features
- A high(er)-level interface to UM-Bridge for sampling an FEM black box
- Construction of PCE surrogates from samples
- Data assimilation based on the statFEM method (WIP: in refactoring)
- Parameter identification based on the virtual fields method or EUCLID (WIP: in refactoring)
License
StatFEMEUCLID.jl is licensed under the MIT License.
References
- 1V. Narouie, JH. Urrea-Quintero, F. Cirak, H. Wessels Unsupervised Constitutive Model Discovery from Sparse and Noisy Data https://doi.org/10.1016/j.cma.2025.118722
- 2M. Girolami, E. Febrianto, G. Yin, F. Cirak The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions https://doi.org/10.1016/j.cma.2020.113533
- 3M. Flaschel, S. Kumar, L. De Lorenzis Unsupervised discovery of interpretable hyperelastic constitutive laws https://doi.org/10.1016/j.cma.2021.113852