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On the use of the first order shear deformation plate theory for the analysis of three‐layer plates with thin soft core layer
Author(s) -
Altenbach Holm,
Eremeyev Victor A.,
Naumenko Konstantin
Publication year - 2015
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201500069
Subject(s) - materials science , core (optical fiber) , layer (electronics) , stiffness , shear (geology) , plate theory , composite material , layer by layer , transverse shear , deformation (meteorology) , structural engineering , finite element method , engineering , composite number
Three‐layer laminates with thin soft core layer can be found in many engineering applications. Examples include laminated glasses and photovoltaic panels. For such structures high contrast in the mechanical properties of faces and core requires the use of advanced methods to determine effective material properties of the laminate. In this paper we address the application of the first order shear deformation plate theory to the analysis of laminates with thin and soft core layer. In particular, transverse shear stiffness parameters for three‐layered plates with different symmetric configurations are analyzed. For classical sandwiches with thick core layer the result coincides with the Reissner's formula. For the case of thin and compliant core layer the new expression for the effective shear stiffness is derived.