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.
|Tipologia:||Articolo su rivista|
|Citazione:||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.|
|IF:||Con Impact Factor ISI|
|Settore Scientifico Disciplinare:||Settore ICAR/08 - Scienza delle Costruzioni|
|Revisione (peer review):||Sì, ma tipo non specificato|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.2140/jomms.2009.4.371|
|Stato di pubblicazione:||Pubblicato|
|Data di pubblicazione:||feb-2009|
|Titolo:||Anisotropic thin-walled beam models: a rational deduction from three-dimensional elasticity|
|Autori:||Maceri, F; Vairo, G|
|Appare nelle tipologie:||01 - Articolo su rivista|