Semicontinuity theorem in the micropolar elasticity (CROSBI ID 151322)
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Podaci o odgovornosti
Tambača, Josip ; Velčić, Igor
engleski
Semicontinuity theorem in the micropolar elasticity
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)] 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.
Micropolar elasticity; existence theorem; quasiconvexity; semicontinuity
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Podaci o izdanju
16 (2)
2010.
337-355
objavljeno
1292-8119
1262-3377
10.1051/cocv/2009002
Povezanost rada
Matematika