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 …

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
Develo** accurate yet fast computational tools to simulate complex physical phenomena
is a long-standing problem. Recent advances in machine learning have revolutionized the …

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 …

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 …

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 …

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 …

GNNs for mechanical properties prediction of strut-based lattice structures

B Jiang, Y Wang, H Niu, X Cheng, P Zhao… - International Journal of …, 2024 - Elsevier
The mechanical properties of strut-based lattice structures are greatly influenced by cell
topology, which can be modified by changing connections between nodes within a single …

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 …

[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 …

Multiscale graph neural networks with adaptive mesh refinement for accelerating mesh-based simulations

R Perera, V Agrawal - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Abstract Mesh-based Graph Neural Networks (GNNs) have recently shown capabilities to
simulate complex multiphysics problems with accelerated performance times. However …