Abstract:
A smoothing averaging operator is used in passing from structural to macroscopic modeling of the stress–strained state of an article from a composite material taking into account finite strains. A model is constructed using an integral operator, in which the macroscopic laws of conservation of energy and mass and the equation of motion have the ordinary form used to describe processes in homogeneous materials. As an example, macroscopic parameters are evaluated in a system consisting of an ensemble of inclusions in an infinite matrix.
Keywords:
integral operator, averaging, macroscopic parameters, structurally inhomogeneous materials.
Citation:
A. L. Svistkov, S. E. Evlampieva, “Using a smoothing averaging operator to evaluate macroscopic parameters in structurally inhomogeneous materials”, Prikl. Mekh. Tekh. Fiz., 44:5 (2003), 151–161; J. Appl. Mech. Tech. Phys., 44:5 (2003), 727–735
\Bibitem{SviEvl03}
\by A.~L.~Svistkov, S.~E.~Evlampieva
\paper Using a smoothing averaging operator to evaluate macroscopic parameters in structurally inhomogeneous materials
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 5
\pages 151--161
\mathnet{http://mi.mathnet.ru/pmtf2548}
\elib{https://elibrary.ru/item.asp?id=17274840}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 5
\pages 727--735
\crossref{https://doi.org/10.1023/A:1025520823726}
Linking options:
https://www.mathnet.ru/eng/pmtf2548
https://www.mathnet.ru/eng/pmtf/v44/i5/p151
This publication is cited in the following 3 articles:
A. N. Astapov, S. I. Zhavoronok, A. S. Kurbatov, L. N. Rabinskii, O. V. Tushavina, “Main problems in the creation of thermal-protection systems based on structurally heterogeneous materials and the methods of their solution”, High Temperature, 59:2 (2021), 221–247
Ilya A. Morozov, Vladislav N. Solodko, Alexander Yu Kurakin, “Quantitative study of filled rubber microstructure by optical and atomic force microscopy”, Polymer Testing, 44 (2015), 197
Nicolas Brusselaars, Sofia G. Mogilevskaya, Steven L. Crouch, “A semi-analytical solution for multiple circular inhomogeneities in one of two joined isotropic elastic half-planes”, Engineering Analysis with Boundary Elements, 31:8 (2007), 692
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