[HTML][HTML] A new family of Constitutive Artificial Neural Networks towards automated model discovery

K Linka, E Kuhl - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
For more than 100 years, chemical, physical, and material scientists have proposed
competing constitutive models to best characterize the behavior of natural and man-made …

Neural networks meet hyperelasticity: A guide to enforcing physics

L Linden, DK Klein, KA Kalina, J Brummund… - Journal of the …, 2023 - Elsevier
In the present work, a hyperelastic constitutive model based on neural networks is proposed
which fulfills all common constitutive conditions by construction, and in particular, is …

Deep learning in computational mechanics: a review

L Herrmann, S Kollmannsberger - Computational Mechanics, 2024 - Springer
The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …

[HTML][HTML] Automated discovery of generalized standard material models with EUCLID

M Flaschel, S Kumar, L De Lorenzis - Computer Methods in Applied …, 2023 - Elsevier
We extend the scope of our recently developed approach for unsupervised automated
discovery of material laws (denoted as EUCLID) to the general case of a material belonging …

On sparse regression, Lp‐regularization, and automated model discovery

JA McCulloch, SR St. Pierre, K Linka… - International Journal for …, 2024 - Wiley Online Library
Sparse regression and feature extraction are the cornerstones of knowledge discovery from
massive data. Their goal is to discover interpretable and predictive models that provide …

Automated model discovery for human brain using constitutive artificial neural networks

K Linka, SRS Pierre, E Kuhl - Acta Biomaterialia, 2023 - Elsevier
The brain is our softest and most vulnerable organ, and understanding its physics is a
challenging but significant task. Throughout the past decade, numerous competing models …

FE: an efficient data-driven multiscale approach based on physics-constrained neural networks and automated data mining

KA Kalina, L Linden, J Brummund, M Kästner - Computational Mechanics, 2023 - Springer
Herein, we present a new data-driven multiscale framework called FE ANN which is based
on two main keystones: the usage of physics-constrained artificial neural networks (ANNs) …

On automated model discovery and a universal material subroutine for hyperelastic materials

M Peirlinck, K Linka, JA Hurtado, E Kuhl - Computer Methods in Applied …, 2024 - Elsevier
Constitutive modeling is the cornerstone of computational and structural mechanics. In a
finite element analysis, the constitutive model is encoded in the material subroutine, a …

Benchmarking physics-informed frameworks for data-driven hyperelasticity

V Taç, K Linka, F Sahli-Costabal, E Kuhl… - Computational …, 2024 - Springer
Data-driven methods have changed the way we understand and model materials. However,
while providing unmatched flexibility, these methods have limitations such as reduced …

Automated model discovery for skin: Discovering the best model, data, and experiment

K Linka, AB Tepole, GA Holzapfel, E Kuhl - Computer Methods in Applied …, 2023 - Elsevier
Choosing the best constitutive model and the right set of model parameters is at the heart of
continuum mechanics. For decades, the gold standard in constitutive modeling has been to …