Artificial intelligence in physical sciences: Symbolic regression trends and perspectives

D Angelis, F Sofos, TE Karakasidis - Archives of Computational Methods …, 2023 - Springer
Symbolic regression (SR) is a machine learning-based regression method based on genetic
programming principles that integrates techniques and processes from heterogeneous …

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 …

Learning deep implicit Fourier neural operators (IFNOs) with applications to heterogeneous material modeling

H You, Q Zhang, CJ Ross, CH Lee, Y Yu - Computer Methods in Applied …, 2022 - Elsevier
Constitutive modeling based on continuum mechanics theory has been a classical approach
for modeling the mechanical responses of materials. However, when constitutive laws are …

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 …

Reduced and all-at-once approaches for model calibration and discovery in computational solid mechanics

U Römer, S Hartmann, JA Tröger… - Applied …, 2024 - asmedigitalcollection.asme.org
In the framework of solid mechanics, the task of deriving material parameters from
experimental data has recently re-emerged with the progress in full-field measurement …

Determination of the fatigue equation for the cement-stabilized cold recycled mixtures with road construction waste materials based on data-driven

J Ren, L Zhang, H Zhao, Z Zhao, S Wang - International Journal of Fatigue, 2022 - Elsevier
The fatigue life is one of the essential design indexes of the cement-stabilized cold recycled
mixtures (CSCRM) in China. However, it is challenging to determine the fatigue equation of …

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 …

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 …

Automatic generation of interpretable hyperelastic material models by symbolic regression

R Abdusalamov, M Hillgärtner… - International Journal for …, 2023 - Wiley Online Library
In this article, we present a new procedure to automatically generate interpretable
hyperelastic material models. This approach is based on symbolic regression which …

[HTML][HTML] Data-driven modelling of the multiaxial yield behaviour of nanoporous metals

L Dyckhoff, N Huber - International journal of mechanical sciences, 2023 - Elsevier
Nanoporous metals, built out of complex ligament networks, can be produced with an
additional level of hierarchy. The resulting complexity of the structure makes modelling of the …