Deep learning in computational mechanics: a review

L Herrmann, S Kollmannsberger - Computational Mechanics, 2024 - Springer
The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …

Learning two-phase microstructure evolution using neural operators and autoencoder architectures

V Oommen, K Shukla, S Goswami… - npj Computational …, 2022 - nature.com
Phase-field modeling is an effective but computationally expensive method for capturing the
mesoscale morphological and microstructure evolution in materials. Hence, fast and …

A review of graph neural network applications in mechanics-related domains

Y Zhao, H Li, H Zhou, HR Attar, T Pfaff, N Li - Artificial Intelligence Review, 2024 - Springer
Mechanics-related tasks often present unique challenges in achieving accurate geometric
and physical representations, particularly for non-uniform structures. Graph neural networks …

Predicting stress, strain and deformation fields in materials and structures with graph neural networks

M Maurizi, C Gao, F Berto - Scientific reports, 2022 - nature.com
Developing accurate yet fast computational tools to simulate complex physical phenomena
is a long-standing problem. Recent advances in machine learning have revolutionized the …

Towards high-accuracy axial springback: Mesh-based simulation of metal tube bending via geometry/process-integrated graph neural networks

Z Wang, C Wang, S Zhang, L Qiu, Y Lin, J Tan… - Expert Systems with …, 2024 - Elsevier
Springback has always been a stubborn defect that affects the axial accuracy of metal
bending. The finite element simulation of springback enables effective control and precise …

Prediction and control of fracture paths in disordered architected materials using graph neural networks

K Karapiperis, DM Kochmann - Communications Engineering, 2023 - nature.com
Architected materials typically rely on regular periodic patterns to achieve improved
mechanical properties such as stiffness or fracture toughness. Here we introduce a class of …

[HTML][HTML] Non-destructive strength prediction of composite laminates utilizing deep learning and the stochastic finite element methods

C Nastos, P Komninos, D Zarouchas - Composite Structures, 2023 - Elsevier
A hybrid methodology based on numerical and non-destructive experimental schemes,
which is able to predict the structural level strength of composite laminates is proposed on …

Graph Neural Networks (GNNs) based accelerated numerical simulation

C Jiang, NZ Chen - Engineering Applications of Artificial Intelligence, 2023 - Elsevier
Finite element method (FEM) based high-fidelity simulation can be computationally
demanding and time-consuming as engineering problems become more complicated. It is …

Learning dislocation dynamics mobility laws from large-scale MD simulations

N Bertin, VV Bulatov, F Zhou - npj Computational Materials, 2024 - nature.com
By dispensing with all the atoms and only focusing on dislocation lines, the computational
method of Discrete Dislocation Dynamics (DDD) gains greatly over Molecular Dynamics …

A generalized machine learning framework for brittle crack problems using transfer learning and graph neural networks

R Perera, V Agrawal - Mechanics of Materials, 2023 - Elsevier
Despite their recent success, machine learning (ML) models such as graph neural networks
(GNNs), suffer from drawbacks such as the need for large training datasets and poor …