Application of the nonlinear theory of elasticity and similarity method for assessment of the metallic jersey deformation properties
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 49 (2017), pp. 105-113
Voir la notice de l'article provenant de la source Math-Net.Ru
Earlier, a two-dimensional deformation of the square knitwear samples made of the
microwires have been experimentally investigated under condition of the equal forces acting in
the two mutually perpendicular directions. It has been found that the contact points between the
structural elements in these samples stay almost immovable along the microwire. We have
developed a computer program for calculating the two-dimensional deformation of such samples.
It is based on the nonlinear theory of elasticity taking into account the current observation. The
theoretical calculations obtained for several structures have been shown to be in a good agreement
with experimental data. The program code has been analyzed in order to determine the influence
of structure parameters on the deformation properties of the samples. It has been shown that if the
two structures are similar, the samples are of the same size, but the size of the elements in the
second structure is $n_1$ times smaller and the microwire rigidity on the bend is $n_2$ times larger than
that in the first one. Therefore, to obtain the same sizes of the sample after deformation, the force
acting on the second sample should be $n_1^3\cdot n_2$ times greater than that acting on the first sample.
It has been found that the simultaneous decrease in dimensions of the structure elements and
in the wavelength by an equal number of times does not lead to the significant changes in
reflection coefficient.
Keywords:
metallic jersey, reflective surface, reflection coefficient of electromagnetic waves, similarity method, nonlinear theory of elasticity.
@article{VTGU_2017_49_a9,
author = {V. I. Khalimanovich and L. A. Kudryavin and O. F. Belyaev and V. A. Zavaruev},
title = {Application of the nonlinear theory of elasticity and similarity method for assessment of the metallic jersey deformation properties},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {105--113},
publisher = {mathdoc},
number = {49},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2017_49_a9/}
}
TY - JOUR AU - V. I. Khalimanovich AU - L. A. Kudryavin AU - O. F. Belyaev AU - V. A. Zavaruev TI - Application of the nonlinear theory of elasticity and similarity method for assessment of the metallic jersey deformation properties JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2017 SP - 105 EP - 113 IS - 49 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2017_49_a9/ LA - ru ID - VTGU_2017_49_a9 ER -
%0 Journal Article %A V. I. Khalimanovich %A L. A. Kudryavin %A O. F. Belyaev %A V. A. Zavaruev %T Application of the nonlinear theory of elasticity and similarity method for assessment of the metallic jersey deformation properties %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2017 %P 105-113 %N 49 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTGU_2017_49_a9/ %G ru %F VTGU_2017_49_a9
V. I. Khalimanovich; L. A. Kudryavin; O. F. Belyaev; V. A. Zavaruev. Application of the nonlinear theory of elasticity and similarity method for assessment of the metallic jersey deformation properties. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 49 (2017), pp. 105-113. http://geodesic.mathdoc.fr/item/VTGU_2017_49_a9/