RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Chebyshevskii Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Chebyshevskii Sb., 2019, Volume 20, Issue 3, Pages 430–436 (Mi cheb823)  

HISTORY OF MATHEMATICS AND APPLICATIONS

The role of mathematics in the development of composite materials mechanics

I. K. Arkhipova, V. I. Abramovab, A. E. Gvozdevb, D. V. Maliib

a Plekhanov Russian University of Economics (Tula)
b Tula State Lev Tolstoy Pedagogical University (Tula)

Abstract: The paper presents a brief overview of the history of new branches of mathematics and their impact on theoretical studies of mechanics of composite materials. The contribution of Russian and Soviet mathematicians and mechanics is shown, which allowed to create a functional basis for the study of mechanical properties of composites — new materials that have been widely used in engineering and the national economy. Composite materials were created in the second half of the twentieth century. They are multicomponent structures composed of various homogeneous materials. The most common are two-component structures of matrix and filler. Technologically, these components can constitute deterministic or random structures. By changing the structure and properties of the components, it is possible to obtain materials with predetermined macroscopic properties (effective properties) necessary for a particular application. The emergence of composite materials has caused a rapid growth of research on mechanical properties, allowing the design of these materials. These studies were conducted in both theoretical and practical terms. Theoretical studies were mainly reduced to the construction of mathematical models of the mechanical behavior of composites as structurally inhomogeneous materials.

Keywords: history of development, new branches of mathematics, composite materials mechanics.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation RFMEF 157717X0271
The work was carried out within the framework of the Federal Program "Research and development in priority areas of development of the scientific and technological complex of Russia for 2014--2020"\, (unique identifier of the project RFMEFI57717X0271).


DOI: https://doi.org/10.22405/2226-8383-2018-20-3-430-436

Full text: PDF file (393 kB)

UDC: 539.3
Received: 05.09.2019
Accepted:12.11.2019

Citation: I. K. Arkhipov, V. I. Abramova, A. E. Gvozdev, D. V. Malii, “The role of mathematics in the development of composite materials mechanics”, Chebyshevskii Sb., 20:3 (2019), 430–436

Citation in format AMSBIB
\Bibitem{ArkAbrGvo19}
\by I.~K.~Arkhipov, V.~I.~Abramova, A.~E.~Gvozdev, D.~V.~Malii
\paper The role of mathematics in the development of composite materials mechanics
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 3
\pages 430--436
\mathnet{http://mi.mathnet.ru/cheb823}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-3-430-436}


Linking options:
  • http://mi.mathnet.ru/eng/cheb823
  • http://mi.mathnet.ru/eng/cheb/v20/i3/p430

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Number of views:
    This page:10
    Full text:5

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020