In this paper anisotropic thin-walled beam models are rationally deduced from three-dimensional elasticity by means of a constrained approach. Consistent frictionless internal constraints on both stress and strain dual fields are enforced through a modified Hu–Washizu functional obtained by a nonstandard application of Lagrange multipliers. Beam theories accounting for different shear refinement levels are justified, showing that this variational approach enables the development of new refined models, including high-order nonconventional effects and enhancing standard treatments of shear deformation effects. In agreement with the constrained problem, a locally equilibrated approximation of the stress field acting on beam cross-section is recovered in closed form. Finally, cases of laminated thin-walled beams as well as of unilateral conewise constitutive behavior (with special reference to bimodular materials) are investigated.

Maceri, F., & Vairo, G. (2009). Anisotropic thin-walled beam models: a rational deduction from three-dimensional elasticity. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 4(2), 371-394 [10.2140/jomms.2009.4.371].

Anisotropic thin-walled beam models: a rational deduction from three-dimensional elasticity

MACERI, FRANCO;VAIRO, GIUSEPPE
2009-02

Abstract

In this paper anisotropic thin-walled beam models are rationally deduced from three-dimensional elasticity by means of a constrained approach. Consistent frictionless internal constraints on both stress and strain dual fields are enforced through a modified Hu–Washizu functional obtained by a nonstandard application of Lagrange multipliers. Beam theories accounting for different shear refinement levels are justified, showing that this variational approach enables the development of new refined models, including high-order nonconventional effects and enhancing standard treatments of shear deformation effects. In agreement with the constrained problem, a locally equilibrated approximation of the stress field acting on beam cross-section is recovered in closed form. Finally, cases of laminated thin-walled beams as well as of unilateral conewise constitutive behavior (with special reference to bimodular materials) are investigated.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - Scienza delle Costruzioni
English
Con Impact Factor ISI
thin-walled beams; constrained elasticity
Maceri, F., & Vairo, G. (2009). Anisotropic thin-walled beam models: a rational deduction from three-dimensional elasticity. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 4(2), 371-394 [10.2140/jomms.2009.4.371].
Maceri, F; Vairo, G
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/13255
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