A review on data-driven constitutive laws for solids

JN Fuhg, G Anantha Padmanabha, N Bouklas… - … Methods in Engineering, 2024 - Springer
This review article highlights state-of-the-art data-driven techniques to discover, encode,
surrogate, or emulate constitutive laws that describe the path-independent and path …

[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 …

[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 …

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) …

[HTML][HTML] Influence of magnetic boundary conditions on the quantitative modelling of magnetorheological elastomers

MA Moreno-Mateos, K Danas, D Garcia-Gonzalez - Mechanics of Materials, 2023 - Elsevier
The complex magneto-mechanical coupling that governs the material response of
magnetorheological elastomers (MREs) requires computational tools to assist the design …

Modular machine learning-based elastoplasticity: Generalization in the context of limited data

JN Fuhg, CM Hamel, K Johnson, R Jones… - Computer Methods in …, 2023 - Elsevier
The development of highly accurate constitutive models for materials that undergo path-
dependent processes continues to be a complex challenge in computational solid …

Spiking neural networks for nonlinear regression

A Henkes, JK Eshraghian… - Royal Society Open …, 2024 - royalsocietypublishing.org
Spiking neural networks (SNN), also often referred to as the third generation of neural
networks, carry the potential for a massive reduction in memory and energy consumption …

Automated model discovery for muscle using constitutive recurrent neural networks

LM Wang, K Linka, E Kuhl - Journal of the Mechanical Behavior of …, 2023 - Elsevier
The stiffness of soft biological tissues not only depends on the applied deformation, but also
on the deformation rate. To model this type of behavior, traditional approaches select a …

[HTML][HTML] Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria

KA Kalina, P Gebhart, J Brummund, L Linden… - Computer Methods in …, 2024 - Elsevier
We present a framework for the multiscale modeling of finite strain magneto-elasticity based
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …