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Semicontinuity theorem in the micropolar elasticity

Published online by Cambridge University Press:  10 February 2009

Josip Tambača  and
Igor Velčić
Josip Tambača
Affiliation:
Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia. [email protected]; [email protected]
Igor Velčić
Affiliation:
Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia. [email protected]; [email protected]
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Abstract

In this paper we investigate the equivalence of the sequentialweak lower semicontinuity of the total energy functional and the quasiconvexity of thestored 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 thatsatisfy the growth of order p≥ 1. This result is the mainstep towards the general existence theorem for the nonlinear micropolarelasticity.

Keywords

Micropolar elasticityexistence theoremquasiconvexitysemicontinuity
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 2 , April 2010 , pp. 337 - 355
Copyright
© EDP Sciences, SMAI, 2009

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