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Composites: Mechanics, Computations, Applications: An International Journal
ESCI SJR: 0.193 SNIP: 0.497 CiteScore™: 0.39

ISSN Druckformat: 2152-2057
ISSN Online: 2152-2073

Composites: Mechanics, Computations, Applications: An International Journal

DOI: 10.1615/CompMechComputApplIntJ.v7.i3.10
pages 175-187

IDENTIFICATION OF KINETIC PARAMETERS OF THE MODEL OF INTERPHASE LAYER GROWTH IN A FIBROUS COMPOSITE

Yu. G. Evtushenko
Dorodnicyn Computing Centre, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russian Federation
V. I. Zubov
Dorodnicyn Computing Centre, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russian Federation
Sergey A. Lurie
Institute of Applied Mechanics, Russian Academy of Sciences, 7 Leningradsky Ave., Moscow, 125040, Russia; Dorodnicyn Computing Centre FIC IU of the Russian Academy of Sciences, 40 Vavilov Str., Moscow, 119333, Russia
Yury Solyaev
Institute of Applied Mechanics, Russian Academy of Sciences, 7 Leningradskii Ave., Moscow, 125040, Russia; Moscow Aviation Institute, 4 Volokolamskoe Highway, Moscow, 125933, Russia

ABSTRAKT

An algorithm for identification of the parameters, making part of the parabolic law that is often used for predicting the dependence of the interphase layer thickness on the retention time in the composite material structure based on a metal matrix is suggested. A generalized presentation of this law that allows for the impact of the incubation period is used; at the same time the reaction rate constant is estimated by the Arrhenius relationship and takes into account the pressure effect. The identification algorithm suggested is based on the transformation of the available parabolic law and the introduction of the minimized objective function of a special form. The problem of identification of unknown parameters in the parabolic law is formulated in the variational form and allows the selecton of such a set from the allowed set of model parameters, when the objective function takes the minium value. It is shown that the four known experimental values of the interphase layer thickness that correspond to different values of temperature, pressure, and time of the interphase layer growth can be used to identify four parameters of the model: the activation energy, the preexponential parameter, the delay in the generation of the interphase layer, and the parameter determining the influence of pressure on the interphase layer growth rate. In the work, the stability of the proposed identification algorithm is studied and the restrictions imposed on the set of the required initial data are discussed. The known experimental data are used to demonstrate the efficiency of the algorithm proposed.