The mechanical behavior of composite structures with periodic configurations depend not only on the macroscopic response of the structure, but also on the microscopic characteristics of the various constituents of the reinforcing fibers and matrix materials. This paper develops the geometrically non-linear composite plate model to analyze the effective elastic properties through the application of the modified asymptotic homogenization method. To make the method plausible for a three-dimensional problem, two sets of 'rapid' coordinates, one in the tangential direction associated with the rapid periodic oscillation in the composite properties and geometrical shape of upper and lower surfaces of the plate and the other in the transverse direction corresponding the layer thickness, are introduced. The two small parameters arisen from this approach are determined by, respectively, the period of the coefficients of the pertinent equations and the layer thickness, which may or may not be of the same order of magnitude. The analytical formulae for effective moduli derived herein make it possible to gain useful insight into the manner in which the geometrical and mechanical properties of the individual constituents affect the elastic properties of the thin geometrically nonlinear composite layer with wavy surfaces.

Geometrically nonlinear asymptotic homogenization modeling of a thin composite layer with wavy surfaces

Tornabene F.
2016-01-01

Abstract

The mechanical behavior of composite structures with periodic configurations depend not only on the macroscopic response of the structure, but also on the microscopic characteristics of the various constituents of the reinforcing fibers and matrix materials. This paper develops the geometrically non-linear composite plate model to analyze the effective elastic properties through the application of the modified asymptotic homogenization method. To make the method plausible for a three-dimensional problem, two sets of 'rapid' coordinates, one in the tangential direction associated with the rapid periodic oscillation in the composite properties and geometrical shape of upper and lower surfaces of the plate and the other in the transverse direction corresponding the layer thickness, are introduced. The two small parameters arisen from this approach are determined by, respectively, the period of the coefficients of the pertinent equations and the layer thickness, which may or may not be of the same order of magnitude. The analytical formulae for effective moduli derived herein make it possible to gain useful insight into the manner in which the geometrical and mechanical properties of the individual constituents affect the elastic properties of the thin geometrically nonlinear composite layer with wavy surfaces.
2016
978-300053387-7
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/455569
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