Stress Field Prediction in Cantilevered Structures Using Convolutional Neural Networks
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Abstract (arXiv)
The demand for fast and accurate structural analysis is becoming increasingly more prevalent with the advance of generative design and topology optimization technologies. As one step toward accelerating structural analysis, this work explores a deep learning based approach for predicting the stress fields in 2D linear elastic cantilevered structures subjected to external static loads at its free end using convolutional neural networks (CNN). Two different architectures are implemented that take as input the structure geometry, external loads, and displacement boundary conditions, and output the predicted von Mises stress field. The first is a single input channel network called SCSNet as the baseline architecture, and the second is the multi-channel input network called StressNet. Accuracy analysis shows that StressNet results in significantly lower prediction errors than SCSNet on three loss functions, with a mean relative error of 2.04% for testing. These results suggest that deep learning models may offer a promising alternative to classical methods in structural design and topology optimization. Code and dataset are available at https://github.com/zhenguonie/stress_net
Key facts. Cited by 25 papers in the map (data through 14 Oct 2026). First posted on arXiv 27 Aug 2018.
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Citing papers per year: 2021: 4; 2022: 8; 2023: 6; 2024: 5; 2025: 1; 2026: 1.
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- 2021Deep Generative Models in Engineering Design: A Reviewcited by 105
- 2021An Extensible Benchmark Suite for Learning to Simulate Physical Systemscited by 24
- 2022Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computingcited by 24
- 2021Stress field prediction in fiber-reinforced composite materials using a deep learning approachcited by 23
- 2023Deep Learning in Deterministic Computational Mechanicscited by 21
- 2024A review of graph neural network applications in mechanics-related domainscited by 14
- 2022Spiking neural networks for nonlinear regressioncited by 10
- 2023Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equationscited by 7
- 2022Physics Informed Neural Network for Dynamic Stress Predictioncited by 6
- 2022Wheel Impact Test by Deep Learning: Prediction of Location and Magnitude of Maximum Stresscited by 5
- 2024Bayesian neural networks for predicting uncertainty in full-field material responsecited by 5
- 2024VIRL: Volume-Informed Representation Learning towards Few-shot Manufacturability Estimationcited by 4
13 more
- 2024Neural Networks for Generating Better Local Optima in Topology Optimizationcited by 4
- 2024A spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous solids: efficient mapping of concrete microstructures to its fracture propertiescited by 3
- 2021PATO: Producibility-Aware Topology Optimization using Deep Learning for Metal Additive Manufacturingcited by 2
- 2022A heteroencoder architecture for prediction of failure locations in porous metals using variational inferencecited by 2
- 2025Physics-Informed Graph Neural Networks to Reconstruct Local Fields Considering Finite Strain Hyperelasticitycited by 2
- 2022An Adaptive and Scalable ANN-based Model-Order-Reduction Method for Large-Scale TO Designscited by 1
- 2022Image-based Artificial Intelligence empowered surrogate model and shape morpher for real-time blank shape optimisation in the hot stamping processcited by 1
- 2023Adapting U-Net for linear elastic stress estimation in polycrystal Zr microstructurescited by 1
- 2023Weighted Unsupervised Domain Adaptation Considering Geometry Features and Engineering Performance of 3D Design Datacited by 1
- 2026Deep Clustering based Boundary-Decoder Net for Inter and Intra Layer Stress Prediction of Heterogeneous Integrated IC Chipcited by 1
- 2022Development of a deep learning platform for optimising sheet stamping geometries subject to manufacturing constraintscited by 0
- 2023IC classifier: a classifier for 3D industrial components based on geometric prior using GNNcited by 0
- 2023Deep Learning-based Prediction of Stress and Strain Maps in Arterial Walls for Improved Cardiovascular Risk Assessmentcited by 0
- 2026Deep Clustering based Boundary-Decoder Net for Inter and Intra Layer Stress Prediction of Heterogeneous Integrated IC Chip25 Feb 2026
- 2025Physics-Informed Graph Neural Networks to Reconstruct Local Fields Considering Finite Strain Hyperelasticity5 Jul 2025
- 2024Neural Networks for Generating Better Local Optima in Topology Optimization25 Jul 2024
- 2024A spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous solids: efficient mapping of concrete microstructures to its fracture properties22 Jul 2024
- 2024A review of graph neural network applications in mechanics-related domains10 Jul 2024
- 2024Bayesian neural networks for predicting uncertainty in full-field material response21 Jun 2024
- 2024VIRL: Volume-Informed Representation Learning towards Few-shot Manufacturability Estimation18 Jun 2024
- 2023Deep Learning in Deterministic Computational Mechanics27 Sep 2023
- 2023Weighted Unsupervised Domain Adaptation Considering Geometry Features and Engineering Performance of 3D Design Data8 Sep 2023
- 2023Deep Learning-based Prediction of Stress and Strain Maps in Arterial Walls for Improved Cardiovascular Risk Assessment3 Aug 2023
- 2023Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations9 Apr 2023
- 2023Adapting U-Net for linear elastic stress estimation in polycrystal Zr microstructures15 Mar 2023
13 more
- 2023IC classifier: a classifier for 3D industrial components based on geometric prior using GNN10 Mar 2023
- 2022Image-based Artificial Intelligence empowered surrogate model and shape morpher for real-time blank shape optimisation in the hot stamping process1 Dec 2022
- 2022Physics Informed Neural Network for Dynamic Stress Prediction28 Nov 2022
- 2022Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing14 Nov 2022
- 2022Spiking neural networks for nonlinear regression6 Oct 2022
- 2022Wheel Impact Test by Deep Learning: Prediction of Location and Magnitude of Maximum Stress3 Oct 2022
- 2022An Adaptive and Scalable ANN-based Model-Order-Reduction Method for Large-Scale TO Designs20 Mar 2022
- 2022Development of a deep learning platform for optimising sheet stamping geometries subject to manufacturing constraints4 Feb 2022
- 2022A heteroencoder architecture for prediction of failure locations in porous metals using variational inference31 Jan 2022
- 2021PATO: Producibility-Aware Topology Optimization using Deep Learning for Metal Additive Manufacturing8 Dec 2021
- 2021Stress field prediction in fiber-reinforced composite materials using a deep learning approach1 Nov 2021
- 2021Deep Generative Models in Engineering Design: A Review21 Oct 2021
- 2021An Extensible Benchmark Suite for Learning to Simulate Physical Systems9 Aug 2021
- 2021Deep Generative Models in Engineering Design: A Reviewcited by 105
- 2021An Extensible Benchmark Suite for Learning to Simulate Physical Systemscited by 24
- 2022Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computingcited by 24
- 2021Stress field prediction in fiber-reinforced composite materials using a deep learning approachcited by 23
- 2023Deep Learning in Deterministic Computational Mechanicscited by 21
- 2024A review of graph neural network applications in mechanics-related domainscited by 14
- 2022Spiking neural networks for nonlinear regressioncited by 10
- 2023Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equationscited by 7
- 2022Physics Informed Neural Network for Dynamic Stress Predictioncited by 6
- 2022Wheel Impact Test by Deep Learning: Prediction of Location and Magnitude of Maximum Stresscited by 5
- 2024Bayesian neural networks for predicting uncertainty in full-field material responsecited by 5
- 2024VIRL: Volume-Informed Representation Learning towards Few-shot Manufacturability Estimationcited by 4
12 most cited of 25 All 25 (JSON)
- 2026Deep Clustering based Boundary-Decoder Net for Inter and Intra Layer Stress Prediction of Heterogeneous Integrated IC Chip25 Feb 2026
- 2025Physics-Informed Graph Neural Networks to Reconstruct Local Fields Considering Finite Strain Hyperelasticity5 Jul 2025
- 2024Neural Networks for Generating Better Local Optima in Topology Optimization25 Jul 2024
- 2024A spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous solids: efficient mapping of concrete microstructures to its fracture properties22 Jul 2024
- 2024A review of graph neural network applications in mechanics-related domains10 Jul 2024
- 2024Bayesian neural networks for predicting uncertainty in full-field material response21 Jun 2024
- 2024VIRL: Volume-Informed Representation Learning towards Few-shot Manufacturability Estimation18 Jun 2024
- 2023Deep Learning in Deterministic Computational Mechanics27 Sep 2023
- 2023Weighted Unsupervised Domain Adaptation Considering Geometry Features and Engineering Performance of 3D Design Data8 Sep 2023
- 2023Deep Learning-based Prediction of Stress and Strain Maps in Arterial Walls for Improved Cardiovascular Risk Assessment3 Aug 2023
- 2023Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations9 Apr 2023
- 2023Adapting U-Net for linear elastic stress estimation in polycrystal Zr microstructures15 Mar 2023
12 newest of 25 All 25 (JSON)