Abstract
A basic optimization principle of Artificial Neural Network—the Lagrange Programming Neural Network (LPNN) model for solving elastoplastic finite element problems is presented. The nonlinear problems of mechanics are represented as a neural network based optimization problem by adopting the nonlinear function as nerve cell transfer function. Finally, two simple elastoplastic problems are numerically simulated. LPNN optimization results for elastoplastic problem are found to be comparable to traditional Hopfield neural network optimization model.
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Gao, H.S., Li, H.D., Ye, T.L., 2000. Neurocomputing in structural analysis and design: An overview. Chinese Journal of Computational Mechanics, 17(2):223–228 (in Chinese).
Sun, D.H., Hu, Q., Xu, H., 1998. Real time neurocomputing theory and numerical simulation on elastic mechanics. Acta Mechanica Sinica, 30(3):348–352.
Sun, D.H., Sun, X.F., Hu, Q., 2000. Model for solving the elastoplasticity based on neural networks. Chinese Journal of Computational Mechanics, 17(3):273–277 (in Chinese).
Wu, A.I., Tam, P.K.S., 1999. A neural network methodology and strategy of quadratic optimisation. Neural Comput. & Applic., 8(4):283–289. [doi:10.1007/s005210050033]
Zhang, S.W., Constantinides, A.G., 1992. Lagrange programming neural networks. IEEE Trans. on Circuits and Systems II Analog and Digital Signal Processing, 39(7):441–452. [doi:10.1109/82.160169]
Zhong, W.X., Zhang, H.W., Wu, C.W., 1997. Parametric Variation Principle and Applications in Engineering. Science Press, Bei**g, p.1–123 (in Chinese).
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Project (No. 10102010) supported by the National Natural Science Foundation of China
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Ren, Xq., Chen, Wj., Dong, Sl. et al. Neural network method for solving elastoplastic finite element problems. J. Zhejiang Univ. - Sci. A 7, 378–382 (2006). https://doi.org/10.1631/jzus.2006.A0378
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DOI: https://doi.org/10.1631/jzus.2006.A0378