Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies

Marcelo Epstein; Manuel de León

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 4, page 267-280
  • ISSN: 0044-8753

Abstract

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We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.

How to cite

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Epstein, Marcelo, and de León, Manuel. "Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies." Archivum Mathematicum 032.4 (1996): 267-280. <http://eudml.org/doc/18469>.

@article{Epstein1996,
abstract = {We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.},
author = {Epstein, Marcelo, de León, Manuel},
journal = {Archivum Mathematicum},
keywords = {Cosserat media; rods; shells; uniformity; homogeneity; non-holonomic frame bundles; non-holonomic G-structures; connections; Cosserat media; rods; shells; uniformity; homogeneity; non-holonomic frame bundles; non-holonomic G-structures; connections},
language = {eng},
number = {4},
pages = {267-280},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies},
url = {http://eudml.org/doc/18469},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Epstein, Marcelo
AU - de León, Manuel
TI - Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 4
SP - 267
EP - 280
AB - We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.
LA - eng
KW - Cosserat media; rods; shells; uniformity; homogeneity; non-holonomic frame bundles; non-holonomic G-structures; connections; Cosserat media; rods; shells; uniformity; homogeneity; non-holonomic frame bundles; non-holonomic G-structures; connections
UR - http://eudml.org/doc/18469
ER -

References

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