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

Abstract Developing accurate yet fast computational tools to simulate complex physical phenomena is a long-standing problem. Recent advances in machine learning have revolutionized the way simulations are approached, shifting from a purely physics- to AI-based paradigm. Although impressive achieveme...

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Main Authors: Marco Maurizi, Chao Gao, Filippo Berto
Format: Article
Language:English
Published: Nature Portfolio 2022-12-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-26424-3
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author Marco Maurizi
Chao Gao
Filippo Berto
author_facet Marco Maurizi
Chao Gao
Filippo Berto
author_sort Marco Maurizi
collection DOAJ
description Abstract Developing accurate yet fast computational tools to simulate complex physical phenomena is a long-standing problem. Recent advances in machine learning have revolutionized the way simulations are approached, shifting from a purely physics- to AI-based paradigm. Although impressive achievements have been reached, efficiently predicting complex physical phenomena in materials and structures remains a challenge. Here, we present an AI-based general framework, implemented through graph neural networks, able to learn complex mechanical behavior of materials from a few hundreds data. Harnessing the natural mesh-to-graph mapping, our deep learning model predicts deformation, stress, and strain fields in various material systems, like fiber and stratified composites, and lattice metamaterials. The model can capture complex nonlinear phenomena, from plasticity to buckling instability, seemingly learning physical relationships between the predicted physical fields. Owing to its flexibility, this graph-based framework aims at connecting materials’ microstructure, base materials’ properties, and boundary conditions to a physical response, opening new avenues towards graph-AI-based surrogate modeling.
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spelling doaj.art-5327fd52308c47daa8e74f28c9ee0d4a2022-12-22T04:41:55ZengNature PortfolioScientific Reports2045-23222022-12-0112111210.1038/s41598-022-26424-3Predicting stress, strain and deformation fields in materials and structures with graph neural networksMarco Maurizi0Chao Gao1Filippo Berto2Department of Mechanical and Industrial Engineering, Norwegian University of Science and Technology (NTNU)Department of Mechanical and Industrial Engineering, Norwegian University of Science and Technology (NTNU)Department of Mechanical and Industrial Engineering, Norwegian University of Science and Technology (NTNU)Abstract Developing accurate yet fast computational tools to simulate complex physical phenomena is a long-standing problem. Recent advances in machine learning have revolutionized the way simulations are approached, shifting from a purely physics- to AI-based paradigm. Although impressive achievements have been reached, efficiently predicting complex physical phenomena in materials and structures remains a challenge. Here, we present an AI-based general framework, implemented through graph neural networks, able to learn complex mechanical behavior of materials from a few hundreds data. Harnessing the natural mesh-to-graph mapping, our deep learning model predicts deformation, stress, and strain fields in various material systems, like fiber and stratified composites, and lattice metamaterials. The model can capture complex nonlinear phenomena, from plasticity to buckling instability, seemingly learning physical relationships between the predicted physical fields. Owing to its flexibility, this graph-based framework aims at connecting materials’ microstructure, base materials’ properties, and boundary conditions to a physical response, opening new avenues towards graph-AI-based surrogate modeling.https://doi.org/10.1038/s41598-022-26424-3
spellingShingle Marco Maurizi
Chao Gao
Filippo Berto
Predicting stress, strain and deformation fields in materials and structures with graph neural networks
Scientific Reports
title Predicting stress, strain and deformation fields in materials and structures with graph neural networks
title_full Predicting stress, strain and deformation fields in materials and structures with graph neural networks
title_fullStr Predicting stress, strain and deformation fields in materials and structures with graph neural networks
title_full_unstemmed Predicting stress, strain and deformation fields in materials and structures with graph neural networks
title_short Predicting stress, strain and deformation fields in materials and structures with graph neural networks
title_sort predicting stress strain and deformation fields in materials and structures with graph neural networks
url https://doi.org/10.1038/s41598-022-26424-3
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AT chaogao predictingstressstrainanddeformationfieldsinmaterialsandstructureswithgraphneuralnetworks
AT filippoberto predictingstressstrainanddeformationfieldsinmaterialsandstructureswithgraphneuralnetworks