Journal article
An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics
International Journal of Computational Methods, Vol.20(10), pp.1-29
2023
Abstract
Physics-informed neural network (PINN) has recently gained increasing interest in computational mechanics. This work extends the PINN to computational solid mechanics problems. Our focus will be on the investigation of various formulation and programming techniques, when governing equations of solid mechanics are implemented. Two prevailingly used physics-informed loss functions for PINN-based computational solid mechanics are implemented and examined. Numerical examples ranging from 1D to 3D solid problems are presented to show the performance of PINN-based computational solid mechanics. The programs are built via Python with TensorFlow library with step-by-step explanations and can be extended for more challenging applications. This work aims to help the researchers who are interested in the PINN-based solid mechanics solver to have a clear insight into this emerging area. The programs for all the numerical examples presented in this work are available at https://github.com/JinshuaiBai/PINN_Comp_Mech .
Details
- Title
- An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics
- Authors
- Jinshuai Bai (Author) - Queensland University of TechnologyHyogu Jeong (Author) - Queensland University of TechnologyChanaka P. Batuwatta-Gamage (Author) - Queensland University of TechnologyShusheng Xiao (Author) - Queensland University of TechnologyQingxia Wang (Author) - University of Southern QueenslandCharith Rathnayaka (Author) - University of the Sunshine Coast, Queensland, School of Science, Technology and EngineeringLaith Alzubaidi (Author) - Queensland University of TechnologyGui-Rong Liu (Author) - University of CincinnatiYuantong Gu (Corresponding Author) - Queensland University of Technology
- Publication details
- International Journal of Computational Methods, Vol.20(10), pp.1-29
- Publisher
- World Scientific Publishing Co. Pte. Ltd.
- DOI
- 10.1142/S0219876223500135
- ISSN
- 1793-6969
- Grants
- Organisation Unit
- School of Science, Technology and Engineering
- Language
- English
- Record Identifier
- 99742197802621
- Output Type
- Journal article
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- Domestic collaboration
- International collaboration
- Web Of Science research areas
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications
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