# Semicontinuity theorem in the micropolar elasticity

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

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

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topTambača, 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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