Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 149-156
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V. G. Osmolovskii. The nonlinear problem of the symmetric deformation of a hollow sphere. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 149-156. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a11/
@article{ZNSL_1977_69_a11,
author = {V. G. Osmolovskii},
title = {The nonlinear problem of the symmetric deformation of a hollow sphere},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {149--156},
year = {1977},
volume = {69},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a11/}
}
TY - JOUR
AU - V. G. Osmolovskii
TI - The nonlinear problem of the symmetric deformation of a hollow sphere
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 149
EP - 156
VL - 69
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a11/
LA - ru
ID - ZNSL_1977_69_a11
ER -
%0 Journal Article
%A V. G. Osmolovskii
%T The nonlinear problem of the symmetric deformation of a hollow sphere
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 149-156
%V 69
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a11/
%G ru
%F ZNSL_1977_69_a11
The problem is considered within the framework of the geometrical nonlinear theory of elasticity. Minimal restrictions are found under which the zero solution is unique for zero loads. Under these restrictions uniqueness of the solution for the tensile forces is proved, and the critical compressive force is found for which uniqueness is destroyed.
