General solutions of weakened equations in terms of stresses in the theory of elasticity
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 26-32
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The general solutions of some weakened systems of equations in terms of stresses in isotropic elasticity are analyzed. These systems which are not equivalent to the classic one, involve (besides the equilibrium equations) only three of six compatibility equations, namely either diagonal or off-diagonal ones. An equivalence of the formulations of quasistatic boundary-value problems in elasticity in terms of stresses based on such systems is discussed.
@article{VMUMM_2012_6_a4,
author = {D. V. Georgievskii},
title = {General solutions of weakened equations in terms of stresses in the theory of elasticity},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {26--32},
publisher = {mathdoc},
number = {6},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a4/}
}
TY - JOUR AU - D. V. Georgievskii TI - General solutions of weakened equations in terms of stresses in the theory of elasticity JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2012 SP - 26 EP - 32 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a4/ LA - ru ID - VMUMM_2012_6_a4 ER -
%0 Journal Article %A D. V. Georgievskii %T General solutions of weakened equations in terms of stresses in the theory of elasticity %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2012 %P 26-32 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a4/ %G ru %F VMUMM_2012_6_a4
D. V. Georgievskii. General solutions of weakened equations in terms of stresses in the theory of elasticity. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 26-32. http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a4/