Geodesic
Semicontinuity theorem in the micropolar elasticity
ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 2, pp. 337-355

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In this paper we investigate the equivalence of the sequential weak lower semicontinuity of the total energy functional and the quasiconvexity of the stored energy function of the nonlinear micropolar elasticity. Based on techniques of Acerbi and Fusco [Arch. Rational Mech. Anal. 86 (1984) 125-145] we extend the result from Tambača and Velčić [ESAIM: COCV (2008) DOI: 10.1051/cocv:2008065] for energies that satisfy the growth of order p ≥ 1. This result is the main step towards the general existence theorem for the nonlinear micropolar elasticity.

DOI : 10.1051/cocv/2009002
Classification : 74A35, 74G25, 74G65
Keywords: micropolar elasticity, existence theorem, quasiconvexity, semicontinuity 
@article{COCV_2010__16_2_337_0,
     author = {Tamba\v{c}a, Josip and Vel\v{c}i\'c, Igor},
     title = {Semicontinuity theorem in the micropolar elasticity},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {337--355},
     publisher = {EDP-Sciences},
     volume = {16},
     number = {2},
     year = {2010},
     doi = {10.1051/cocv/2009002},
     mrnumber = {2654197},
     zbl = {1193.74007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2009002/}
}
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Tambača, Josip; Velčić, Igor. Semicontinuity theorem in the micropolar elasticity. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 2, pp. 337-355. doi: 10.1051/cocv/2009002

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