Parametric identification of coefficients for a model of fatigue stiffness degradation of a composite material


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Abstract

The problem of finding the fatigue characteristics of a composite material based on test results is considered. The results of endurance tests of unidirectional polymer composite materials with different initial stiffness, breaking stress and working cycle stress were used as the initial data. As a mathematical model of stiffness degradation, a nonlinear ordinary differential equation with five unknown parameters is used, reflecting characteristic changes in the properties of the material. It is required to find such parameter values that the solution of the differential equation should describe the available test results with sufficient accuracy. The solution procedure is reduced to the problem of optimizing the objective function, the value of which characterizes the achieved accuracy. As optimization methods, a method simulating the behavior of a flock of moths and a method of sequential reduction of the search set were used. A step-by-step algorithm for finding unknown model parameters is proposed, and numerical results of processing input data containing information on changing the elasticity modulus of the composite material in the course of applying load cycles are presented.

About the authors

A. V. Panteleev

Moscow Aviation Institute (National Research University)

Author for correspondence.
Email: avpanteleev@inbox.ru
ORCID iD: 0000-0003-2493-3617

Doctor of Science (Phys. & Math.), Professor, Head of the Department of Mathematics and Cybernetics, Institute of Computer Science and Applied Mathematics

Russian Federation

N. V. Turbin

Moscow Aviation Institute (National Research University)

Email: turbinnv@mai.ru
ORCID iD: 0000-0002-7264-0694

Leading Engineer, Advanced Engineering School

Russian Federation

I. S. Nadorov

Moscow Aviation Institute (National Research University)

Email: nnadorovivan@gmail.com
ORCID iD: 0009-0008-2085-2987

Undergraduate Student, Institute of Computer Science and Applied Mathematics

Russian Federation

N. O. Kononov

Moscow Aviation Institute (National Research University)

Email: nconon@gmail.com
ORCID iD: 0009-0002-2665-4785

Engineer, Advanced Engineering School

Russian Federation

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