On the use of the first order shear deformation plate theory for the analysis of three‐layer plates with thin soft core layer

Abstract

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.

A multiscale projection approach for the coupled global–local structural analysis of photovoltaic modules

“…Since the classical theories in this field, summarised e.g. in [6] and [7], like the first order shear deformation theory (FOSDT) fail to predict accurate results at the current problem [8,9], extensions of existing theories are required. Among many different formulations, zig-zag or layerwise theories [10,11,12] are mostly appropiate for the analysis of photovoltaic modules.…”

“…Among many different formulations, zig-zag or layerwise theories [10,11,12] are mostly appropiate for the analysis of photovoltaic modules. Naumenko & Eremeyev [13] have developed an eXtended layerwise theory (XLWT) for such composite structures, called 'anti-sandwich' concerning the geometrical parameters in accordance to [8], which is also suitable for photovoltaic structures. Within this approach, balance and constitutive equations are derived for every layer individually.…”

A user-defined finite element for laminated glass panels and photovoltaic modules based on a layer-wise theory

“…Closed-form relationships are developed to find effective elastic stiffness of a laminate from the properties of layers, e.g. [16,17]. However, numerical techniques are required to estimate the effective transverse shear deformation in the inelastic range [18,19].…”

Dispersion of elastic waves in a strongly inhomogeneous three-layered plate

“…Laminated glass is usually designed as a three-layered plate, with two stiff facings and a soft polymeric interlayer, see Schulze et al (2012) and Aşık & Tezcan (2005). For photovoltaic panels, the ratio of the shear moduli of a glass skin and polymeric layer encapsulating solar cells, is within the range 10 −5 ∼ 10 −2 , depending on temperature and polymer type, see Schulze et al (2012), Altenbach et al (2015), Aßmus et al (2016), Aßmus et al (2017), and Naumenko & Eremeyev (2014).…”

“…Among them, we mention asymptotic developments on the subject reported in Berdichevsky (2010), Kudaibergenov et al (2016), Tovstik & Tovstik (2016), and , along with Altenbach et al (2015) and Naumenko & Eremeyev (2014) using ad hoc layerwise theories, and…”