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In this paper we give an existence theorem for the equilibrium problem for nonlinear micropolar elastic body. We consider the problem in its minimization formulation and apply the direct methods of the calculus of variations. As the main step towards the existence theorem, under some conditions, we prove the equivalence of the sequential weak lower semicontinuity of the total energy and the quasiconvexity, in some variables, of the stored energy function.
@article{COCV_2010__16_1_92_0,
author = {Tamba\v{c}a, Josip and Vel\v{c}i\'c, Igor},
title = {Existence theorem for nonlinear micropolar elasticity},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {92--110},
publisher = {EDP-Sciences},
volume = {16},
number = {1},
year = {2010},
doi = {10.1051/cocv:2008065},
mrnumber = {2598090},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008065/}
}
TY - JOUR AU - Tambača, Josip AU - Velčić, Igor TI - Existence theorem for nonlinear micropolar elasticity JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2010 SP - 92 EP - 110 VL - 16 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008065/ DO - 10.1051/cocv:2008065 LA - en ID - COCV_2010__16_1_92_0 ER -
%0 Journal Article %A Tambača, Josip %A Velčić, Igor %T Existence theorem for nonlinear micropolar elasticity %J ESAIM: Control, Optimisation and Calculus of Variations %D 2010 %P 92-110 %V 16 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008065/ %R 10.1051/cocv:2008065 %G en %F COCV_2010__16_1_92_0
Tambača, Josip; Velčić, Igor. Existence theorem for nonlinear micropolar elasticity. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 1, pp. 92-110. doi: 10.1051/cocv:2008065
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