Application of the first-order shear deformation theory to the analysis of laminated glasses and photovoltaic panels. (June 2015)

• Record Type: Journal Article
• Authors: Eisenträger, J.; Naumenko, K.; Altenbach, H.; Köppe, H.
• Is Part Of: International journal of mechanical sciences. Volume 96/97(2015)
• Page Start: 163
• Page End: 171
• Publication Date: 2015-06
• Subjects: Photovoltaic panel -- First-order shear deformation theory -- FEM -- User element; Mechanical engineering -- Periodicals; Génie mécanique -- Périodiques; Mechanical engineering; Maschinenbau; Mechanik; Zeitschrift; Periodicals; 621.05
• DOI: 10.1016/j.ijmecsci.2015.03.012
• Languages: English
• ISSNs: 0020-7403

Abstract

Abstract: Laminated plates and photovoltaic panels are composed of three layers, whereas the core layer, comprising the solar cells and their encapsulation, is more shear-compliant than the skin layers. First-order shear deformation theories (FSDT) like the Mindlin theory are usually applied to these laminated plates in combination with a homogenisation approach. If the differences in shear stiffnesses are too strong, the FSDT may fail to predict the deformation behaviour accurately. This paper evaluates the applicability range of FSDT to the laminated glass and photovoltaic panels. Furthermore, a user-defined element is integrated with the subroutine User Element in Abaqus. This element utilises a homogenisation approach to determine the effective material parameters. To verify the results of the finite element analysis, a closed-form series solution is applied. The attention is placed on the accurate representation of the boundary layer effects that are important for the strength analysis. Abstract : Highlights: The applicability of the first order shear deformation theory (FSDT) to the analysis of laminated glass and photovoltaic panels is discussed. To capture the validity range of FSDT a normalised shear rigidity parameter is introduced and computed for laminates with typical properties of layers. A value of the shear rigidity parameter is estimated below which the FSDT is not applicable. Closed-form analytical solutions are formulated to illustrate boundary layer effects for rectangular panels. A user-defined finite element is developed and utilised inside the Abaqus code for the analysis of laminates with soft core.