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] 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 …

Enhancing phenomenological yield functions with data: challenges and opportunities

JN Fuhg, A Fau, N Bouklas, M Marino - European Journal of Mechanics-A …, 2023 - Elsevier
The formulation of history-dependent material laws has been a significant research and
industrial activity in solid mechanics for over a century. A large variety of models has been …

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) …

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 …

A machine learning model to predict yield surfaces from crystal plasticity simulations

A Nascimento, S Roongta, M Diehl… - International Journal of …, 2023 - Elsevier
We introduce a microstructurally informed machine learning model for predicting the
anisotropic yield surfaces of polycrystalline materials. A full-field, spatially resolved crystal …

Learning hyperelastic anisotropy from data via a tensor basis neural network

JN Fuhg, N Bouklas, RE Jones - Journal of the Mechanics and Physics of …, 2022 - Elsevier
Anisotropy in the mechanical response of materials with microstructure is common and yet is
difficult to assess and model. To construct accurate response models given only stress …

Extreme sparsification of physics-augmented neural networks for interpretable model discovery in mechanics

JN Fuhg, RE Jones, N Bouklas - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Data-driven constitutive modeling with neural networks has received increased interest in
recent years due to its ability to easily incorporate physical and mechanistic constraints and …

Machine learning-enabled identification of micromechanical stress and strain hotspots predicted via dislocation density-based crystal plasticity simulations

A Eghtesad, Q Luo, SL Shang, RA Lebensohn… - International Journal of …, 2023 - Elsevier
The present work uses a full-field crystal plasticity model with a first principles-informed
dislocation density (DD) hardening law to identify the key microstructural features correlated …

Graph neural network modeling of grain-scale anisotropic elastic behavior using simulated and measured microscale data

DC Pagan, CR Pash, AR Benson… - npj Computational …, 2022 - nature.com
Here we assess the applicability of graph neural networks (GNNs) for predicting the grain-
scale elastic response of polycrystalline metallic alloys. Using GNN surrogate models, grain …