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 …

Machine learning applications in sheet metal constitutive Modelling: A review

AE Marques, TG Parreira, AFG Pereira… - International Journal of …, 2024 - Elsevier
The numerical simulation of sheet metal forming processes depends on the accuracy of the
constitutive model used to represent the mechanical behaviour of the materials. The …

Sobolev training of thermodynamic-informed neural networks for interpretable elasto-plasticity models with level set hardening

NN Vlassis, WC Sun - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
We introduce a deep learning framework designed to train smoothed elastoplasticity models
with interpretable components, such as the stored elastic energy function, yield surface, and …

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 …

Towards data-driven constitutive modelling for granular materials via micromechanics-informed deep learning

T Qu, S Di, YT Feng, M Wang, T Zhao - International Journal of Plasticity, 2021 - Elsevier
The analytical description of path-dependent elastic-plastic responses of a granular system
is highly complicated because of continuously evolving microstructures and strain …

Knowledge extraction and transfer in data-driven fracture mechanics

X Liu, CE Athanasiou, NP Padture… - Proceedings of the …, 2021 - National Acad Sciences
Data-driven approaches promise to usher in a new phase of development in fracture
mechanics, but very little is currently known about how data-driven knowledge extraction …

Physics-informed deep learning for traffic state estimation: A survey and the outlook

X Di, R Shi, Z Mo, Y Fu - Algorithms, 2023 - mdpi.com
For its robust predictive power (compared to pure physics-based models) and sample-
efficient training (compared to pure deep learning models), physics-informed deep learning …

Discovering interpretable elastoplasticity models via the neural polynomial method enabled symbolic regressions

B Bahmani, HS Suh, WC Sun - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Conventional neural network elastoplasticity models are often perceived as lacking
interpretability. This paper introduces a two-step machine learning approach that returns …

A neural kernel method for capturing multiscale high-dimensional micromorphic plasticity of materials with internal structures

Z **ong, M **ao, N Vlassis, WC Sun - Computer Methods in Applied …, 2023 - Elsevier
This paper introduces a neural kernel method to generate machine learning plasticity
models for micropolar and micromorphic materials that lack material symmetry and have …

Neural networks for constitutive modeling: From universal function approximators to advanced models and the integration of physics

J Dornheim, L Morand, HJ Nallani, D Helm - Archives of Computational …, 2024 - Springer
Analyzing and modeling the constitutive behavior of materials is a core area in materials
sciences and a prerequisite for conducting numerical simulations in which the material …