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
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.
history of development, new branches of mathematics, composite materials mechanics.
|Ministry of Education and Science of the Russian Federation
|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).
PDF file (393 kB)
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
\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.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|