A layer-wise theory of laminated plates, which accounts for piecewise constant shear strain in the thickness, is derived from the three-dimensional elasticity theory by imposing suitable constraints on the strain and stress fields. Ar this aim, the Hu-Washizu functional of the three-dimensional elasticity is modified according to the Lagrange multipliers theory. In fact, a nonstandard application of the Lagrange theory is presented, because of the simultaneous presence of constraints on dual spaces. The imposed constraints make reactive strain and stress fields arise. Thus, it is necessary to distinguish between elastic and total strain and stress fields. The difference between them is emphasized in a numerical application.

Bisegna, P., & Sacco, E. (1997). A layer-wise laminate theory rationally deduced from the three-dimensional elasticity. JOURNAL OF APPLIED MECHANICS, 64(3), 538-545 [10.1115/1.2788926].

A layer-wise laminate theory rationally deduced from the three-dimensional elasticity

BISEGNA, PAOLO;
1997

Abstract

A layer-wise theory of laminated plates, which accounts for piecewise constant shear strain in the thickness, is derived from the three-dimensional elasticity theory by imposing suitable constraints on the strain and stress fields. Ar this aim, the Hu-Washizu functional of the three-dimensional elasticity is modified according to the Lagrange multipliers theory. In fact, a nonstandard application of the Lagrange theory is presented, because of the simultaneous presence of constraints on dual spaces. The imposed constraints make reactive strain and stress fields arise. Thus, it is necessary to distinguish between elastic and total strain and stress fields. The difference between them is emphasized in a numerical application.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - Scienza delle Costruzioni
eng
Con Impact Factor ISI
Plate-theory; composite plates; order theory; deformation; shells
Bisegna, P., & Sacco, E. (1997). A layer-wise laminate theory rationally deduced from the three-dimensional elasticity. JOURNAL OF APPLIED MECHANICS, 64(3), 538-545 [10.1115/1.2788926].
Bisegna, P; Sacco, E
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/23567
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