On the mechanical behaviour of laminated curved beams: a simple model which takes into account the warping effects
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 3, pp. 223-233

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A mechanical one-dimensional model which describes the dynamical behaviour of laminated curved beams is formulated. It is assumed that each lamina can be regarded as a Timoshenko's beam and that the rotations of the cross sections can differ from one lamina to another. The relative displacements at the interfaces of adjacent laminae are assumed to be zero. Consequently the model includes a shear deformability, due to the warping of the cross beam section consequent to the variability of the laminae rotations, but it is not able to describe the phenomena of the interfacial slip and of the delamination. By means of the principle of virtual work a variational formulation of the motion equations is carried out, which is useful in view of a successive numerical approach. The constitutive assumption at the basis of the analysis carried out is that of an orthotropic linear elastic behaviour in the single lamina.
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     title = {On the mechanical behaviour of laminated curved beams: a simple model which takes into account the warping effects},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
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Ascione, Luigi; Fraternali, Fernando. On the mechanical behaviour of laminated curved beams: a simple model which takes into account the warping effects. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 3, pp. 223-233. http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_3_a6/