Physics Informed Surrogate Model for Linear Elasticity

  • Jin Huang
  • , Zhicheng Zhu
  • , Jia Hao*
  • , Jiaqi Li
  • , Hanqing Ouyang
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Simulation of linear elasticity problems is widely applied in mechanical and architectural engineering, and surrogate models driven by sample data have become an effective approach to perform fast simulation. However, due to the scarce and expensive data in engineering, traditional data-driven surrogate models suffer from low accuracy. This paper proposes a new Physics Informed Surrogate Model (PISM), with the objective to accelerate the numerical simulation of linear elasticity problems. The governing equations are incorporated into the training process of neural networks as effective supplement information to sample data, which improves the prediction accuracy of surrogate models in small data scenarios. A ResNet structure is introduced to further improve predicting performance of the model. Experimental results show that the prediction accuracy of PISM is significantly higher than that of pure data-driven surrogate models under small data conditions, and the solving speed reaches 8-9 times that of the finite element method.

Original languageEnglish
Title of host publicationNew Materials, Machinery and Vehicle Engineering - Proceedings of the 2nd International Conference, NMMVE 2023
EditorsJinyang Xu, J. Paulo Davim
PublisherIOS Press BV
Pages35-47
Number of pages13
ISBN (Electronic)9781643684208
DOIs
Publication statusPublished - 21 Sept 2023
Event2nd International Conference on New Materials, Machinery, and Vehicle Engineering, NMMVE 2023 - Guiyang, China
Duration: 2 Jun 20234 Jun 2023

Publication series

NameAdvances in Transdisciplinary Engineering
Volume37
ISSN (Print)2352-751X
ISSN (Electronic)2352-7528

Conference

Conference2nd International Conference on New Materials, Machinery, and Vehicle Engineering, NMMVE 2023
Country/TerritoryChina
CityGuiyang
Period2/06/234/06/23

Keywords

  • Linear elasticity
  • Physics informed deep learning
  • Surrogate models

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