Publication detail

Higher order frames and material symmetries

KUREŠ, M.

Original Title

Higher order frames and material symmetries

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.

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

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

Released

01.01.2017

Publisher

Trans Tech Publications Inc.

Pages from

153

Pages to

156

Pages count

4

URL

Documents

BibTex


@article{BUT130455,
  author="Miroslav {Kureš}",
  title="Higher order frames and material symmetries",
  annote="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.",
  address="Trans Tech Publications Inc.",
  chapter="130455",
  doi="10.4028/www.scientific.net/SSP.258.153",
  howpublished="print",
  institution="Trans Tech Publications Inc.",
  number="1",
  volume="258",
  year="2017",
  month="january",
  pages="153--156",
  publisher="Trans Tech Publications Inc.",
  type="journal article in Scopus"
}