A refined three-dimensional zig-zag plate model with hierarchic representation of displacements across the thickness is developed which accurately captures interlaminar stresses directly from constitutive equations with low computational effort. Thanks to the incorporation of high-order terms, the representation can be different from point to point across the thickness, so it can adapt itself to the variation of solutions. However, like for classical models, the functional degrees of freedom are the mid-plane displacements and the shear rotations, since high-order contributions are determined without adding new unknowns. They are computed by enforcing equilibrium conditions at discrete points across the thickness and stress boundary conditions. The model fulfils a priori the interfacial stress continuity conditions at the interfaces, due to the incorporation of appropriate continuity functions. A new approach is adopted that overcomes the drawbacks of algebraic manipulations, because the expressions of high-order terms and continuity functions are derived apart once for all in closed form with a symbolic calculus tool. As shown by the numerical tests, the model accurately predicts the stress field of thick laminated and sandwich plates with abruptly changing material properties with a lower overall processing time than previously developed models by the authors.

DEVELOPMENT OF AN EFFICIENT ZIG-ZAG MODEL WITH VARIABLE REPRESENTATION OF DISPLACEMENTS ACROSS THE THICKNESS / Icardi, Ugo; Sola, Federico. - In: JOURNAL OF ENGINEERING MECHANICS. - ISSN 0733-9399. - STAMPA. - 140:3(2014), pp. 531-541. [10.1061/(ASCE)EM.1943-7889.0000673]

DEVELOPMENT OF AN EFFICIENT ZIG-ZAG MODEL WITH VARIABLE REPRESENTATION OF DISPLACEMENTS ACROSS THE THICKNESS

ICARDI, Ugo;SOLA, FEDERICO
2014

Abstract

A refined three-dimensional zig-zag plate model with hierarchic representation of displacements across the thickness is developed which accurately captures interlaminar stresses directly from constitutive equations with low computational effort. Thanks to the incorporation of high-order terms, the representation can be different from point to point across the thickness, so it can adapt itself to the variation of solutions. However, like for classical models, the functional degrees of freedom are the mid-plane displacements and the shear rotations, since high-order contributions are determined without adding new unknowns. They are computed by enforcing equilibrium conditions at discrete points across the thickness and stress boundary conditions. The model fulfils a priori the interfacial stress continuity conditions at the interfaces, due to the incorporation of appropriate continuity functions. A new approach is adopted that overcomes the drawbacks of algebraic manipulations, because the expressions of high-order terms and continuity functions are derived apart once for all in closed form with a symbolic calculus tool. As shown by the numerical tests, the model accurately predicts the stress field of thick laminated and sandwich plates with abruptly changing material properties with a lower overall processing time than previously developed models by the authors.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2507570
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