Cosserat Theories: Shells, Rods and Points

By M. Rubin. 2000

331 citations recorded by the source corpus.

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On the shell theory on the nanoscale with surface stresses (2011, unknown): “The discussion on the derivation of the 1D and 2D equations is very extensive (see Altenbach & Zhilin, 1988; Chróścielewski, Makowski, & Pietraszkiewicz, 2004; Eremeyev & Zubov, 2008; Grigolyuk & Kogan, 1972; Grigolyuk & Selezov, 1973; Libai & Simmonds, 1998; Naghdi, 1972; Rubin, 2000; Wunderlich, 1”
On generalized Cosserat-type theories of plates and shells: a short review and bibliography (2010, unknown): “Following [269] let us introduce the basic relations of the nonlinear theory of Cosserat shells or surfaces.”
Director‐based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates (2014, background): “Because of the kinematical constraints (11), it can happen that interpenetration occurs when the beam is curved too much or the cross sections are too large, compare with Chapter 5 of Rubin [18].”
STRANDS: Interactive Simulation of Thin Solids using Cosserat Models (2002, background): “Modern treatments of Cosserat models can be found in books by Antman 2 and Rubin 24 (see also 17 ).”