[HTML][HTML] A new family of Constitutive Artificial Neural Networks towards automated model discovery

K Linka, E Kuhl - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
For more than 100 years, chemical, physical, and material scientists have proposed
competing constitutive models to best characterize the behavior of natural and man-made …

Transfer learning based physics-informed neural networks for solving inverse problems in engineering structures under different loading scenarios

C Xu, BT Cao, Y Yuan, G Meschke - Computer Methods in Applied …, 2023 - Elsevier
Recently, a class of machine learning methods called physics-informed neural networks
(PINNs) has been proposed and gained prevalence in solving various scientific computing …

A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: Comparison with finite element …

S Rezaei, A Harandi, A Moeineddin, BX Xu… - Computer Methods in …, 2022 - Elsevier
Physics informed neural networks (PINNs) are capable of finding the solution for a given
boundary value problem. Here, the training of the network is equivalent to the minimization …

Automated model discovery for human brain using constitutive artificial neural networks

K Linka, SRS Pierre, E Kuhl - Acta Biomaterialia, 2023 - Elsevier
The brain is our softest and most vulnerable organ, and understanding its physics is a
challenging but significant task. Throughout the past decade, numerous competing models …

Towards Physics-Informed Machine Learning-Based Predictive Maintenance for Power Converters–A Review

Y Fassi, V Heiries, J Boutet… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Predictive maintenance for power electronic converters has emerged as a critical area of
research and development. With the rapid advancements in deep-learning techniques, new …

A comprehensive review of advances in physics-informed neural networks and their applications in complex fluid dynamics

C Zhao, F Zhang, W Lou, X Wang, J Yang - Physics of Fluids, 2024 - pubs.aip.org
Physics-informed neural networks (PINNs) represent an emerging computational paradigm
that incorporates observed data patterns and the fundamental physical laws of a given …

Discovering a reaction–diffusion model for Alzheimer's disease by combining PINNs with symbolic regression

Z Zhang, Z Zou, E Kuhl, GE Karniadakis - Computer Methods in Applied …, 2024 - Elsevier
Misfolded tau proteins play a critical role in the progression and pathology of Alzheimer's
disease. Recent studies suggest that the spatio-temporal pattern of misfolded tau follows a …

Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators

Z Zou, X Meng, GE Karniadakis - Computer Methods in Applied Mechanics …, 2025 - Elsevier
Uncertainty quantification (UQ) in scientific machine learning (SciML) becomes increasingly
critical as neural networks (NNs) are being widely adopted in addressing complex problems …

Correcting model misspecification in physics-informed neural networks (PINNs)

Z Zou, X Meng, GE Karniadakis - Journal of Computational Physics, 2024 - Elsevier
Data-driven discovery of governing equations in computational science has emerged as a
new paradigm for obtaining accurate physical models and as a possible alternative to …

Automated model discovery for muscle using constitutive recurrent neural networks

LM Wang, K Linka, E Kuhl - Journal of the Mechanical Behavior of …, 2023 - Elsevier
The stiffness of soft biological tissues not only depends on the applied deformation, but also
on the deformation rate. To model this type of behavior, traditional approaches select a …