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 …

Physics‐constrained symbolic model discovery for polyconvex incompressible hyperelastic materials

B Bahmani, WC Sun - International Journal for Numerical …, 2024 - Wiley Online Library
We present a machine learning framework capable of consistently inferring mathematical
expressions of hyperelastic energy functionals for incompressible materials from sparse …

A publicly available PyTorch-ABAQUS UMAT deep-learning framework for level-set plasticity

HS Suh, C Kweon, B Lester, S Kramer, WC Sun - Mechanics of Materials, 2023 - Elsevier
This paper introduces a publicly available PyTorch-ABAQUS deep-learning framework of a
family of plasticity models where the yield surface is implicitly represented by a scalar …

Data-driven methods for computational mechanics: A fair comparison between neural networks based and model-free approaches

M Zlatić, F Rocha, L Stainier, M Čanađija - Computer methods in applied …, 2024 - Elsevier
We present a comparison between two approaches to modelling hyperelastic material
behaviour using data. The first approach is a novel approach based on Data-driven …

[HTML][HTML] N-adaptive ritz method: A neural network enriched partition of unity for boundary value problems

J Baek, Y Wang, JS Chen - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Conventional finite element methods are known to be tedious in adaptive refinements due to
their conformal regularity requirements. Further, the enrichment functions for adaptive …

Neural Chaos: A Spectral Stochastic Neural Operator

B Bahmani, IG Kevrekidis, MD Shields - arxiv preprint arxiv:2502.11835, 2025 - arxiv.org
Building surrogate models with uncertainty quantification capabilities is essential for many
engineering applications where randomness, such as variability in material properties, is …

[HTML][HTML] Data-driven modeling of an unsaturated bentonite buffer model test under high temperatures using an enhanced axisymmetric reproducing kernel particle …

J Baek, Y Wang, X He, Y Lu, JS McCartney… - Computers and …, 2024 - Elsevier
In deep geological repositories for high level nuclear waste with close canister spacings,
bentonite buffers can experience temperatures higher than 100° C. In this range of extreme …

A graph-based model-free data-driven computing approach for inelasticity: Application to elastoplasticity

H Dandin - 2024 - theses.hal.science
In structural analysis, the mechanical response of a material is usually approximated with a
constitutive model, ie a mathematical relation between strains and stresses. This …