Publication detail

Higher order frames and material symmetries

KUREŠ, M.

Czech title

Repéry vyššího řádu a materiálové symetrie

English title

Higher order frames and material symmetries

Type

journal article in Scopus

Language

en

Original abstract

The paper is focused on mathematical approach to materials with microstructure, the special case of them are Cosserat media. Frame bundles are described with respect to their role in continuum mechanics and the structure jet groups. General (r-th order) holonomic, nonholonomic and semiholonomic microstructure configuration are introduced and the algebraic approach using Weil algebras is presented, too.

Czech abstract

Článek je zaměřen na matematický přístup k materiálům s mikrostrukturou, zvláštní případ z nich jsou Cosseratova média. Bandly reperů jsou popsány s ohledem na jejich roli v mechanice kontinua a strukturu jetových grup. Jsou zavedeny obecné (r-tého řádu) holonomní, neholonomní a semiholonomní konfigurace mikrostruktur a prezentován také algebraický přístup pomocí Weilových algeber.

English abstract

The paper is focused on mathematical approach to materials with microstructure, the special case of them are Cosserat media. Frame bundles are described with respect to their role in continuum mechanics and the structure jet groups. General (r-th order) holonomic, nonholonomic and semiholonomic microstructure configuration are introduced and the algebraic approach using Weil algebras is presented, too.

Keywords in Czech

materiálová symetrie, jetové grupy, podgrupy jetových grup, bandly reperů, automorfismy Weilových algeber

Keywords in English

material symmetry, jet groups, subgroups of jet groups, frame bundles, automorphisms of Weil algebras

Released

01.01.2017

Publisher

Trans Tech Publications Inc.

ISSN

1662-9779

Volume

258

Number

1

Pages from–to

153–156

Pages count

4

BIBTEX


@article{BUT130455,
  author="Miroslav {Kureš},
  title="Higher order frames and material symmetries",
  year="2017",
  volume="258",
  number="1",
  month="January",
  pages="153--156",
  publisher="Trans Tech Publications Inc.",
  issn="1662-9779"
}