Deep learning modelling techniques: current progress, applications, advantages, and challenges

SF Ahmed, MSB Alam, M Hassan, MR Rozbu… - Artificial Intelligence …, 2023 - Springer
Deep learning (DL) is revolutionizing evidence-based decision-making techniques that can
be applied across various sectors. Specifically, it possesses the ability to utilize two or more …

Artificial intelligence and machine learning in design of mechanical materials

K Guo, Z Yang, CH Yu, MJ Buehler - Materials Horizons, 2021 - pubs.rsc.org
Artificial intelligence, especially machine learning (ML) and deep learning (DL) algorithms,
is becoming an important tool in the fields of materials and mechanical engineering …

A survey on deep learning tools dealing with data scarcity: definitions, challenges, solutions, tips, and applications

L Alzubaidi, J Bai, A Al-Sabaawi, J Santamaría… - Journal of Big Data, 2023 - Springer
Data scarcity is a major challenge when training deep learning (DL) models. DL demands a
large amount of data to achieve exceptional performance. Unfortunately, many applications …

Analyses of internal structures and defects in materials using physics-informed neural networks

E Zhang, M Dao, GE Karniadakis, S Suresh - Science advances, 2022 - science.org
Characterizing internal structures and defects in materials is a challenging task, often
requiring solutions to inverse problems with unknown topology, geometry, material …

A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials

S Goswami, M Yin, Y Yu, GE Karniadakis - Computer Methods in Applied …, 2022 - Elsevier
Failure trajectories, probable failure zones, and damage indices are some of the key
quantities of relevance in brittle fracture mechanics. High-fidelity numerical solvers that …

A physics-informed neural network technique based on a modified loss function for computational 2D and 3D solid mechanics

J Bai, T Rabczuk, A Gupta, L Alzubaidi, Y Gu - Computational Mechanics, 2023 - Springer
Despite its rapid development, Physics-Informed Neural Network (PINN)-based
computational solid mechanics is still in its infancy. In PINN, the loss function plays a critical …

Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems

T Tripura, S Chakraborty - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
With massive advancements in sensor technologies and Internet-of-things (IoT), we now
have access to terabytes of historical data; however, there is a lack of clarity on how to best …

Physics-informed deep neural operator networks

S Goswami, A Bora, Y Yu, GE Karniadakis - Machine learning in modeling …, 2023 - Springer
Standard neural networks can approximate general nonlinear operators, represented either
explicitly by a combination of mathematical operators, eg in an advection–diffusion reaction …

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 …

Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks

N Sukumar, A Srivastava - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
In this paper, we introduce a new approach based on distance fields to exactly impose
boundary conditions in physics-informed deep neural networks. The challenges in satisfying …