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Thin-walled beams with a cross-section of arbitrary geometry: Derivation of linear theories starting from 3D nonlinear elasticity

  • Elisa Davoli EMAIL logo

Abstract.

The subject of this paper is the rigorous derivation of lower dimensional models for a nonlinearly elastic thin-walled beam whose cross-section is given by a thin tubular neighbourhood of a smooth curve. Denoting by h and , respectively, the diameter and the thickness of the cross-section, we analyse the case where the scaling factor of the elastic energy is of order , with . Different linearized models are deduced according to the relative order of magnitude of with respect to h.

Received: 2011-06-30
Accepted: 2011-11-28
Published Online: 2013-01-03
Published in Print: 2013-01-01

© 2013 by Walter de Gruyter Berlin Boston

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