Mathematical modeling of elasticity properties in the mechanics of composite materials
https://doi.org/10.22405/2226-8383-2020-21-3-262-271
Abstract
This paper presents an overview of mathematical models that allow us to determine the
effective elastic characteristics of various types of composite materials. The most well-known
models are considered: virial decomposition, self-matching method, correlation approximation,
and singular approximation. Models with a layered structure and matrix systems with a regular
structure are considered.
About the Authors
Igor Konstantinovich Arkhipov
Tula state pedagogical University L. N. Tolstoy
Russian Federation
doctor of technical Sciences, Professor
Russian Federation
doctor of technical Sciences, Professor
Vlada Igorevna Abramova
Tula state pedagogical University L. N. Tolstoy
Russian Federation
candidate of technical Sciences, associate Professor
Russian Federation
candidate of technical Sciences, associate Professor
Alexandr Evgenievich Gvozdev
Tula state pedagogical University L.N. Tolstoy
Russian Federation
doctor of engineering, Professor, Professor
Russian Federation
doctor of engineering, Professor, Professor
Olga Vladimirovna Kuzovleva
Russian State University of justice
Russian Federation
candidate of technical Sciences, docent, docent
Russian Federation
candidate of technical Sciences, docent, docent
References
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Review
For citations:
Arkhipov I.K., Abramova V.I., Gvozdev A.E., Kuzovleva O.V. Mathematical modeling of elasticity properties in the mechanics of composite materials. Chebyshevskii Sbornik. 2020;21(3):262-271. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-3-262-271
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