Publication result 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

Scopus Article

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

Key words in English

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

Authors

KUREŠ, M.

RIV year

2018

Released

01.01.2017

Publisher

Trans Tech Publications Inc.

ISBN

1662-9779

Periodical

Solid State Phenomena

Volume

258

Number

1

State

Swiss Confederation

Pages from

153

Pages to

156

Pages count

4

URL

https://www.scientific.net/SSP.258.153

BibTex

@article{BUT130455,
  author="Miroslav {Kureš}",
  title="Higher order frames and material symmetries",
  journal="Solid State Phenomena",
  year="2017",
  volume="258",
  number="1",
  pages="153--156",
  doi="10.4028/www.scientific.net/SSP.258.153",
  issn="1012-0394",
  url="https://www.scientific.net/SSP.258.153"
}