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

Epstein, Marcelo   ; de León, Manuel

Archivum mathematicum, Tome 32 (1996) no. 4, pp. 267-280

Abstract (VO)

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.

Détail

Classification : 53C10, 53C80, 73B99, 73K99, 74A20, 74A35, 74E15
Keywords: Cosserat media; rods; shells; uniformity; homogeneity; non-holonomic frame bundles; non-holonomic G-structures; connections

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