Abstract

Abstract In this paper, non-linear transverse deflection, stress and stress concentration factors (SCF) of isotropic and laminated composite sandwich plate (LCSP) with and without elliptical cutouts subjected to various trans-verse loadings in hygrothermal environment are studied. The basic formulation is based on secant function-based shear deformation theory (SFSDT) with von-Karman nonlinearity. The governing equation of non-linear deflection is derived using C0 finite element method (FEM) through minimum potential energy approach. Normalized trans-verse maximum deflections (NTMD) along with stress concentration factor is determined by using Newton’s Raphson method through Gauss point stress extrapolation. Influence of fiber orientations, load parameters, fiber volume fractions, plate span to thickness ratios, aspect ratios, thickness of core and face, position of core, boundary conditions, environmental conditions and types of transverse loading in MATLAB R2015a environment are examined. The numerical results using present solution methodology are verified with the results available in the literatures.

Highlights

  • The laminated sandwich plates are being utilized in various industries with weight sensitive applications such as space vehicles, transportations, racing cars, boat hulls, marine and other offshore structures due to their superior strength and stiffness to weight ratio.To further improve transverse rigidity against out plane deflection of the sandwich plate, reinforced composite laminates can be used in place of isotropic face sheet materials

  • In this paper, non-linear transverse deflection, stress and stress concentration factors (SCF) of isotropic and laminated composite sandwich plate (LCSP) with and without elliptical cutouts subjected to various transverse loadings in hygrothermal environment are studied

  • By using proposed formulation and solution approach, an finite element method (FEM) based MATLAB code is generated for bending analysis of LCSP with and without elliptical hole

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Summary

Introduction

The laminated sandwich plates are being utilized in various industries with weight sensitive applications such as space vehicles, transportations, racing cars, boat hulls, marine and other offshore structures due to their superior strength and stiffness to weight ratio. A new trigonometric shear deformation theory which considers transverse shear strains along plate thickness and tangential stress-free boundary conditions was developed by Mantari et al [22] which gives better results for 3D elastic bending for composite laminated and sandwich plates. Non-linear static analysis of a piezoelectric sandwich plate with elastic foundation under hygro-thermo-mechanical loading was presented by Lal et al [39] using (SFSDT) and revealed the effect of random system characteristics with fiber volume fraction, ply lay-up, geometry, boundary conditions, etc. To the best of author’s knowledge, effect of various parameters like stacking sequence, fiber orientation, loading conditions, span to plate thickness ratio, position of core, aspect ratio, fiber volume fraction, boundary conditions and cutout dimensions on the normalized transverse maximum deflection of a LCSP with elliptical cutout under induced temperature and moisture conditions were not investigated. The effect of stacking sequence, fiber orientation, loading conditions, length to plate thickness ratio, position of core, aspect ratio, thickness of face sheet and core, fiber volume fraction, boundary conditions, environmental conditions and cutout dimensions on NTMD, stresses and SCF are examined

Formulation
Displacement fields
Strain displacement relations
Properties of face sheet material
Strain energy of LCSP
Finite element method-based solution
Solution approach
Results and discussion
Conclusions
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