Physics informed neural network for dynamic stress prediction

被引:18
作者
Bolandi, Flamed [1 ,2 ]
Sreekumar, Gautam [2 ]
Li, Xuyang [1 ,2 ]
Lajnef, Nizar [1 ]
Boddeti, Vishnu Naresh [2 ]
机构
[1] Michigan State Univ, Civil & Environm Engn, Shaw Lane, E Lansing, MI 48824 USA
[2] Michigan State Univ, Comp Sci & Engn, Shaw Lane, E Lansing, MI 48824 USA
基金
美国国家科学基金会;
关键词
Physics informed neural network; Stress prediction; Finite element analysis; Partial differential equation;
D O I
10.1007/s10489-023-04923-8
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Structural failures are often caused by catastrophic events such as earthquakes and winds. As a result, it is crucial to predict dynamic stress distributions during highly disruptive events in real time. Currently available high-fidelity methods, such as Finite Element Models (FEMs), suffer from their inherent high complexity. Therefore, to reduce computational cost while maintaining accuracy, a Physics Informed Neural Network (PINN), PINN-Stress model, is proposed to predict the entire sequence of stress distribution based on Finite Element simulations using a partial differential equation (PDE) solver. Using automatic differentiation, we embed a PDE into a deep neural network's loss function to incorporate information from measurements and PDEs. The PINN-Stress model can predict the sequence of stress distribution in almost real-time and can generalize better than the model without PINN.
引用
收藏
页码:26313 / 26328
页数:16
相关论文
共 53 条
[1]  
Astaneh-Asl A., 2010, Gusset Plates in Steel Bridges - Design and Evaluation
[2]   A physics-informed neural network technique based on a modified loss function for computational 2D and 3D solid mechanics [J].
Bai, Jinshuai ;
Rabczuk, Timon ;
Gupta, Ashish ;
Alzubaidi, Laith ;
Gu, Yuantong .
COMPUTATIONAL MECHANICS, 2023, 71 (03) :543-562
[3]   Multigene Genetic Programming for Estimation of Elastic Modulus of Concrete [J].
Bayazidi, Alireza Mohammadi ;
Wang, Gai-Ge ;
Bolandi, Hamed ;
Alavi, Amir H. ;
Gandomi, Amir H. .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[4]   Physics-informed neural networks for nonlinear bending of 3D functionally graded beam [J].
Bazmara, Maziyar ;
Silani, Mohammad ;
Mianroodi, Mohammad ;
Sheibanian, Mohsen .
STRUCTURES, 2023, 49 :152-162
[5]   Bridging finite element and deep learning: High-resolution stress distribution prediction in structural components [J].
Bolandi, Hamed ;
Li, Xuyang ;
Salem, Talal ;
Boddeti, Vishnu Naresh ;
Lajnef, Nizar .
FRONTIERS OF STRUCTURAL AND CIVIL ENGINEERING, 2022, 16 (11) :1365-1377
[6]   Deep learning paradigm for prediction of stress distribution in damaged structural components with stress concentrations [J].
Bolandi, Hamed ;
Li, Xuyang ;
Salem, Talal ;
Boddeti, Vishnu Naresh ;
Lajnef, Nizar .
ADVANCES IN ENGINEERING SOFTWARE, 2022, 173
[7]   An Intelligent Model for the Prediction of Bond Strength of FRP Bars in Concrete: A Soft Computing Approach [J].
Bolandi, Hamed ;
Banzhaf, Wolfgang ;
Lajnef, Nizar ;
Barri, Kaveh ;
Alavi, Amir H. .
TECHNOLOGIES, 2019, 7 (02)
[8]  
Chen D, 2023, INT J FATIGUE, V166, DOI [10.1016/j.ijfatigue.2022.107270, 10.1145/3638782.3638807]
[9]   A Data-Driven Physics-Informed Method for Prognosis of Infrastructure Systems: Theory and Application to Crack Prediction [J].
Das, Sandeep ;
Dutta, Subhrajit ;
Putcha, Chandrasekhar ;
Majumdar, Shubhankar ;
Adak, Dibyendu .
ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART A-CIVIL ENGINEERING, 2020, 6 (02)
[10]   Fast evaluation of crack growth path using time series forecasting [J].
Do, Dieu T. T. ;
Lee, Jaehong ;
Nguyen-Xuan, H. .
ENGINEERING FRACTURE MECHANICS, 2019, 218