Existence theorem for nonlinear micropolar elasticity
ESAIM: Control, Optimisation and Calculus of Variations, Volume 16 (2010) no. 1, pp. 92-110.

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.

DOI: 10.1051/cocv:2008065
Classification: 74A35,  74G25,  74G65
Keywords: micropolar elasticity, existence theorem, quasiconvexity
     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://archive.numdam.org/articles/10.1051/cocv:2008065/}
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Tambača, Josip; Velčić, Igor. Existence theorem for nonlinear micropolar elasticity. ESAIM: Control, Optimisation and Calculus of Variations, Volume 16 (2010) no. 1, pp. 92-110. doi : 10.1051/cocv:2008065. http://archive.numdam.org/articles/10.1051/cocv:2008065/

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