Semicontinuity theorem in the micropolar elasticity

Josip Tambača; Igor Velčić

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 16, Issue: 2, page 337-355
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Tambača, Josip, and Velčić, Igor. "Semicontinuity theorem in the micropolar elasticity." ESAIM: Control, Optimisation and Calculus of Variations 16.2 (2010): 337-355. <http://eudml.org/doc/250751>.

@article{Tambača2010,
abstract = { 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. },
author = {Tambača, Josip, Velčić, Igor},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Micropolar elasticity; existence theorem; quasiconvexity; semicontinuity; existence; stored energy function; conformally invariant curvature},
language = {eng},
month = {4},
number = {2},
pages = {337-355},
publisher = {EDP Sciences},
title = {Semicontinuity theorem in the micropolar elasticity},
url = {http://eudml.org/doc/250751},
volume = {16},
year = {2010},
}

TY - JOUR
AU - Tambača, Josip
AU - Velčić, Igor
TI - Semicontinuity theorem in the micropolar elasticity
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/4//
PB - EDP Sciences
VL - 16
IS - 2
SP - 337
EP - 355
AB - 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.
LA - eng
KW - Micropolar elasticity; existence theorem; quasiconvexity; semicontinuity; existence; stored energy function; conformally invariant curvature
UR - http://eudml.org/doc/250751
ER -

References

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