Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2011), pp. 30-36
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T. I. Garyaeva; D. V. Georgievskii. Elasticity theory problem in terms of displacements for a cylindrical layer with strongly different characteristic sizes. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2011), pp. 30-36. http://geodesic.mathdoc.fr/item/VMUMM_2011_3_a5/
@article{VMUMM_2011_3_a5,
author = {T. I. Garyaeva and D. V. Georgievskii},
title = {Elasticity theory problem in terms of displacements for a cylindrical layer with strongly different characteristic sizes},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {30--36},
year = {2011},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_3_a5/}
}
TY - JOUR
AU - T. I. Garyaeva
AU - D. V. Georgievskii
TI - Elasticity theory problem in terms of displacements for a cylindrical layer with strongly different characteristic sizes
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2011
SP - 30
EP - 36
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_3_a5/
LA - ru
ID - VMUMM_2011_3_a5
ER -
%0 Journal Article
%A T. I. Garyaeva
%A D. V. Georgievskii
%T Elasticity theory problem in terms of displacements for a cylindrical layer with strongly different characteristic sizes
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2011
%P 30-36
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2011_3_a5/
%G ru
%F VMUMM_2011_3_a5
An analysis of the principal terms of the general asymptotic expansions for the solutions to the 3D elasticity boundary value problem in terms of displacements (quasistatic case, compressibility) for a cylindrical layer is performed. A ratio of the layer thickness to the height of the cylinder is a natural asymptotic parameter. The radius of the cylinder's base can be of an arbitrary “intermediate”, including endpoints, order. Such a geometry is typical, e.g., for a cylindrical body with characteristic macro-, micro- and nanosizes in various directions.
