A state-of-the-art review on machine learning-based multiscale modeling, simulation, homogenization and design of materials

D Bishara, Y Xie, WK Liu, S Li - Archives of computational methods in …, 2023 - Springer
Multiscale simulation and homogenization of materials have become the major
computational technology as well as engineering tools in material modeling and material …

Physics-informed neural network (PINN) evolution and beyond: A systematic literature review and bibliometric analysis

ZK Lawal, H Yassin, DTC Lai, A Che Idris - Big Data and Cognitive …, 2022 - mdpi.com
This research aims to study and assess state-of-the-art physics-informed neural networks
(PINNs) from different researchers' perspectives. The PRISMA framework was used for a …

A novel sequential method to train physics informed neural networks for Allen Cahn and Cahn Hilliard equations

R Mattey, S Ghosh - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
A physics informed neural network (PINN) incorporates the physics of a system by satisfying
its boundary value problem through a neural network's loss function. The PINN approach …

[HTML][HTML] Uncovering near-wall blood flow from sparse data with physics-informed neural networks

A Arzani, JX Wang, RM D'Souza - Physics of Fluids, 2021 - pubs.aip.org
Near-wall blood flow and wall shear stress (WSS) regulate major forms of cardiovascular
disease, yet they are challenging to quantify with high fidelity. Patient-specific computational …

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 …

Learning neural constitutive laws from motion observations for generalizable pde dynamics

P Ma, PY Chen, B Deng… - International …, 2023 - proceedings.mlr.press
We propose a hybrid neural network (NN) and PDE approach for learning generalizable
PDE dynamics from motion observations. Many NN approaches learn an end-to-end model …

Recent advances and applications of machine learning in experimental solid mechanics: A review

H Jin, E Zhang, HD Espinosa - Applied …, 2023 - asmedigitalcollection.asme.org
For many decades, experimental solid mechanics has played a crucial role in characterizing
and understanding the mechanical properties of natural and novel artificial materials …

Benchmarking physics-informed frameworks for data-driven hyperelasticity

V Taç, K Linka, F Sahli-Costabal, E Kuhl… - Computational …, 2024 - Springer
Data-driven methods have changed the way we understand and model materials. However,
while providing unmatched flexibility, these methods have limitations such as reduced …

Data-driven tissue mechanics with polyconvex neural ordinary differential equations

V Tac, FS Costabal, AB Tepole - Computer Methods in Applied Mechanics …, 2022 - Elsevier
Data-driven methods are becoming an essential part of computational mechanics due to
their advantages over traditional material modeling. Deep neural networks are able to learn …

[HTML][HTML] Machine learning-based constitutive models for cement-grouted coal specimens under shearing

G Li, Y Sun, C Qi - International Journal of Mining Science and …, 2021 - Elsevier
Cement-based grouting has been widely used in mining engineering; its constitutive law has
not been comprehensively studied. In this study, a novel constitutive law of cement-grouted …