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Formulation of the Neural Network for Implicit Constitutive Model (II) : Application to Inelastic Constitutive Equations

  • Lee, Joon-Seong (Dept. of Mechanical System Engineering, Kyonggi University) ;
  • Lee, Eun-Chul (Dept. of Mechanical System Engineering, Kyonggi University) ;
  • Furukawa, Tomonari (Dept. of Mechanical Engineering, The Univ. of New South Wales)
  • Published : 2008.12.01

Abstract

In this paper, two neural networks as a material model, which are based on the state-space method, have been proposed. One outputs the rates of inelastic strain and material internal variables whereas the outputs of the other are the next state of the inelastic strain and material internal variables. Both the neural networks were trained using input-output data generated from Chaboche's model and successfully converged. The former neural network could reproduce the original stress-strain curve. The neural network also demonstrated its ability of interpolation by generating untrained curve. It was also found that the neural network can extrapolate in close proximity to the training data.

Keywords

References

  1. Thomas B.B, Experimental Research in Evolutionary Computation, Springer Berlin Heidelberg, 2006
  2. Furukawa, T., J.S. Lee and E.C. Lee, 'Constitutive Parameter Identification of Inelastic Equations Using an Evolutionary Algorithm', Journal of Korean Institute of Intelligent Systems, in Print
  3. Yamamoto, K., 'Modeling of Hysteretic Behavior with Neural Network and its Application to Non-linear Dynamic Response Analysis', Applications of Artificial Intelligence in Engineering, Computational Mechanics Publications and Elsevier Applied Science, pp. 475-486, 2002
  4. Ghaboussi, J., Garrett Jr., J.H., and Wu, X., 'Knowledge- Based Modeling of Material Behavior with Neural Networks', Journal of Engineering Mechanics, Vol. 117, No. 1, pp. 132-153, 1991 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:1(132)
  5. Miyazaki, H., 'Inelastic Analysis Using a Neural Network Constitutive Law', M.Sc. Thesis, The University of Tokyo, 1999
  6. Franklin, G.F., Powell, J.D. and Emami-Naeini, A., Feedback Control of Dynamic Systems, Addison Wesley
  7. G.S. Kumar and A. Kishore, 'Generalized State-Space Modeling of Three Hpase Self-Excited Induction Generator for Dynamic Characteristics and Analysis', Journal of Electrical Engineering & Technology, Vol. 1, No. 4, pp. 482-489, 2006 https://doi.org/10.5370/JEET.2006.1.4.482
  8. S.R. Rimmalapudi, S.S. Williamson, A. Nasiri and A. Emadi, 'Validation of Generalized State Space Averaging Method for Modeling and Simulation of Power Electronic Converters for Renewable Energy Systems', Journal of Electrical Engineering & Technology, Vol. 2, No. 2, pp. 231-240, 2007 https://doi.org/10.5370/JEET.2007.2.2.231
  9. Furukawa, T., Okuda, H. and Yagawa, G., 'A Neural Network Constitutive Law Based on Yield and Back Stresses', The 18th Computational Mechanics Conference, in Print
  10. J. Lu, C. Feng, S. Xu and Y. Chu, 'Observer Design For A Class of Uncertain State-Delayed Nonlinear Systems', International Journal of Control, Automation, and Systems, Vol. 4, No. 4, pp. 448-455, 2006
  11. Goh, C.J., 'Model Reference Control of Nonlineare System via Implicit Function Emulation', Internal Report, Department of Mathematics, University of Western Australia, 1991
  12. Liu Puyin, 'An Efficient Algorithm of Polygonal Fuzzy Neural Network', Proc. of 4th WSEAS International Conference on Soft Computing, Optimization, Stimulation and Manufacturing Systems, April 21-23, USA, 2004
  13. F.L. Chung and J.C. Duan, 'On Multistage Fuzzy Neural Network Modeling', IEEE Trans. on Fuzzy Systems, Vol. 8, pp. 125-142, 2000 https://doi.org/10.1109/91.842148