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

Epstein, M.; de León, M.

Displaying similar documents to “Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies.”

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

Marcelo Epstein, Manuel de León (1996)

Archivum Mathematicum

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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.

Non-holonomic connections on vector bundles. I

Juraj Virsik (1967)

Czechoslovak Mathematical Journal

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Geometric characterization of the homogeneity of continua with microstructure.

Manuel de León, Marcelo Epstein (1996)

Extracta Mathematicae

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On no-holonomic second-order connections with applications to continua with microstructure.

Marek Elzanowski, Serge Preston (1996)

Extracta Mathematicae

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Principal prolongations and geometries modeled on homogeneous spaces

Jan Slovák (1996)

Archivum Mathematicum

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We discuss frame bundles and canonical forms for geometries modeled on homogeneous spaces. Our aim is to introduce a geometric picture based on the non-holonomic jet bundles and principal prolongations as introduced in [Kolář, 71]. The paper has a partly expository character and we focus on very general aspects only. In the final section, various links to known results on the parabolic geometries are given briefly and some directions for further investigations are roughly indicated. ...