Analysis Methodology of Inelastic Constitutive Parameter Using State Space Method and Neural Network
DOI:
https://doi.org/10.14419/ijet.v7i3.34.18938Published:
2018-09-01Keywords:
Chaboche’s Model, Inelastic Constitutive, Multilayer Neural Network, Ramberg Osgood Model, State Space MethodAbstract
Background/Objectives: In this paper, we present a method for describing a set of variables of an inelastic constitutive equation based on state space method (SSM) and neural network (NN). The advantage of this method is that it can identify the appropriate parameters.
Methods/Statistical analysis: Two NNs based on SSM are proposed. One outputs the ratio of inelastic strain for the internal parameters of the material, and the other is the following state of the inelastic strain ratio and material internal variable. Both NNs were trained and successfully collected using input and output data generated by Chaboche 's model.
Findings: As a result, previous NNs have demonstrated their validity as a powerful material model. However, the training data for the proposed NN can’t be easily obtained from actual experimental data. Previous neural networks can reproduce the original stress-strain curves. The NNs also produced untrained curves to demonstrate interpolation capabilities. It was also found that the NNs can be estimated to be close to training data. The author defines the implicit constitutive model and proposes the implicit viscous constitutive model using NNs. In modeling, inelastic behavior is generalized in state space representation, and the state space form is constructed by NNs using an input-output data sets. The proposed model was first created from the pseudo-experimental data generated by one of the commonly used configuration models and has been found to be a good replacement for the model. The actual experimental data was then tested, and the proposed model showed the accuracy of its superiority over all existing specified models because the amount of model errors was negligible.
Improvements/Applications: The comparison between the NN constitutive laws with the Chaboche’s model indicates that the NN constitutive law generated curves with less model errors than the experimental data, thereby indicating the superiority of the neural constitutive law to explicit constitutive laws as a material model.
References
[1] J.S. Lee and B.G. Bae (2011). Evolutionary Analysis for Continuous Search Space. Journal of Fuzzy Logic and Intelligent Systems, 21, 206-211.
[2] T. Hurukawa, J.S. Lee and E.C. Lee (2009). Constitutive Parameter Identification of Inelastic Equations Using Evolutionary Algorithm. Journal of Fuzzy Logic and Intelligent Systems, 19, 96-101.
[3] Furukawa, T., Okuda, H. and Yagawa, G. (1995). On General Formulation of Neural Networks as a Material Model. Proceedings of the AnnualMeeting of JSME/MMD, Morioka, A, 417-418.
[4] Yamamoto, K. (2002). 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, 475-486.
[5] Ghaboussi, J., Garrett Jr., J.H. and Wu, X. (1991). Knowledge-Based Modeling of Material Behavior with Neural Networks. Journal of Engineering Mechanics, 117(1), 132-153.
[6] Miyazaki, H. (1995). Inelastic Analysis Using a Neural Network Constitutive Law, The University of Tokyo, Japan.
[7] Franklin, G.F., Powell, J.D. and Emami-Naeini (2008). Feedback Control of Dynamic Systems, Addison Wesley.
[8] S.F. Su, Y.C. Hsueh, C.P. Tseng, S.S Chen and Y.S. Lin. (2015). Direct Adaptive Fuzzy Sliding Mode Control for Under-actuated Uncertain Systems. International Journal of Fuzzy Logic and Intelligent Systems, 15(4), 240-250.
[9] J.Y. Park and J.H. Kim. (2004). Controller Design for Fuzzy Systems via Piecewise Quadratic Value Functions. International Journal of Fuzzy Logic and Intelligent Systems, 4(3), 300-305.
[10] M. Khayet (2011). Artificial neural network modeling and response surface methodology of desalination by reverse osmosis. Journal of Membrane Science, 368 (1), 202-214.
[11] H.W. Lee, N.R. Kim and J.H. Lee (2017). Deep Neural Network Self-training Based on Unsupervised Learning and Dropout. International Journal of Fuzzy Logic and Intelligent Systems, 17(1), 1-9.
View Full Article:
How to Cite
License
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution Licensethat allows others to share the work with an acknowledgement of the work''s authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal''s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
Accepted 2018-09-04
Published 2018-09-01