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 …

Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization

N Kovachki, B Liu, X Sun, H Zhou, K Bhattacharya… - Mechanics of …, 2022 - Elsevier
The recent decades have seen various attempts at accelerating the process of developing
materials targeted towards specific applications. The performance required for a particular …

[HTML][HTML] NN-EUCLID: Deep-learning hyperelasticity without stress data

P Thakolkaran, A Joshi, Y Zheng, M Flaschel… - Journal of the …, 2022 - Elsevier
We propose a new approach for unsupervised learning of hyperelastic constitutive laws with
physics-consistent deep neural networks. In contrast to supervised learning, which assumes …

Polyconvex anisotropic hyperelasticity with neural networks

DK Klein, M Fernández, RJ Martin, P Neff… - Journal of the Mechanics …, 2022 - Elsevier
In the present work, two machine learning based constitutive models for finite deformations
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …

[HTML][HTML] Unsupervised discovery of interpretable hyperelastic constitutive laws

M Flaschel, S Kumar, L De Lorenzis - Computer Methods in Applied …, 2021 - Elsevier
We propose a new approach for data-driven automated discovery of isotropic hyperelastic
constitutive laws. The approach is unsupervised, ie, it requires no stress data but only …

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) …

Discovering plasticity models without stress data

M Flaschel, S Kumar, L De Lorenzis - npj Computational Materials, 2022 - nature.com
We propose an approach for data-driven automated discovery of material laws, which we
call EUCLID (Efficient Unsupervised Constitutive Law Identification and Discovery), and we …

Efficient multiscale modeling of heterogeneous materials using deep neural networks

F Aldakheel, ES Elsayed, TI Zohdi, P Wriggers - Computational Mechanics, 2023 - Springer
Material modeling using modern numerical methods accelerates the design process and
reduces the costs of developing new products. However, for multiscale modeling of …

Geometric learning for computational mechanics Part II: Graph embedding for interpretable multiscale plasticity

NN Vlassis, WC Sun - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
The history-dependent behaviors of classical plasticity models are often driven by internal
variables evolved according to phenomenological laws. The difficulty to interpret how these …

Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks

KA Kalina, L Linden, J Brummund, P Metsch… - Computational …, 2022 - Springer
Herein, an artificial neural network (ANN)-based approach for the efficient automated
modeling and simulation of isotropic hyperelastic solids is presented. Starting from a large …