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Composites: Mechanics, Computations, Applications: An International Journal

ISSN Print: 2152-2057
ISSN Online: 2152-2073

Composites: Mechanics, Computations, Applications: An International Journal

DOI: 10.1615/CompMechComputApplIntJ.v1.i1.10
pages 1-23


Yuri G. Yanovsky
Institute of Applied Mechanics of Russian Academy of Sciences, 32A Lenin Ave., Moscow, 119991, Russia; Moscow Aviation Institute (State University of Aerospace Technologies), Moscow, Russia
Yu. A. Basistov
Institute of Applied Mechanics, Russian Academy of Sciences, Moscow


For identification of the behavior of viscoelastic media with small deformations the linear dynamic neural network model is suggested. The model realizes the principle of an adaptively hierarchical superstructure. In order to reach the specified level of the identification error (10−12) the model changes its structure automatically from the 3rd to the 24th order of complexity. The neural network model, compared to other known phenomenological models of viscoelastic media, possesses a higher operation speed, allows use of parallel computational procedures, and realizes an adaptively hierarchical principle of construction. A small error of training the linear nonstationary dynamic model without feedback can be reached only in the presence of a huge initial massif of experimental data.


  1. Joseph, D. D., Fluid Dynamics of Viscoelastic Liquids.

  2. Basistov, Yu. A. and Yanovsky, Yu. G., Ill-posed problems under identification of non-linear rheological models of state.

  3. Vainberg, M. M., Variatsionnyi metod i metod monotonnykh operatorov v teorii nelineinykh uravnenii (Variational Method and Method of Monotonic Operators in the Theory of Nonlinear Equations).

  4. Yanovsky, Yu. G., Basistov, Yu. A., and Filipenkov, P. A., Problem of identification of rheological behavior of heterogeneous polymeric media under finite deformation..

  5. Basistov, Yu. A. and Yanovsky, Yu. G., Identification of mathematical models of viscoelastic media in rheology and electrorheology.

  6. Yanovsky, Yu. G., Polymer Rheology: Theory and Practice.

  7. Hagan, M. T., Demuth, H. B., and Beale, M. H., Neural Network Design.