Abstract
In this paper, three-dimensional elastic deformation of rectangular sandwich panels with functionally graded transversely isotropic core subjected to transverse loading is investigated. An exponential variation of Young’s and shear moduli through the thickness is assumed. The approach uses displacement potential functions for transversely isotropic graded media and a three-dimensional elasticity solution for a transversely isotropic graded plate developed by the authors. The effects of transverse shear modulus, loading localisation, panel thickness and anisotropy on the stresses and displacements in the panel are examined and discussed.
Highlights
Sandwich panels comprising two thin face sheets of high strength and stiffness, separated by a core of lower density and strength, are ideally suited to a variety of industrial applications, where high specific stiffness and strength are required, including aerospace, energy, transportation, marine and civil engineering
In order to study behaviour of sandwich panels with a transversely isotropic graded core, a ‘base’ transversely isotropic model material was chosen, with properties of alumina listed in Table 2, and an elastic property gradient was imposed in the transverse direction
The transverse shear stress no longer varies from a minimum at the outer edges of the face sheets to a maximum at the panel centre
Summary
Sandwich panels comprising two thin face sheets of high strength and stiffness, separated by a core of lower density and strength, are ideally suited to a variety of industrial applications, where high specific stiffness and strength are required, including aerospace, energy, transportation, marine and civil engineering. One effective method of minimising the large interfacial shear stresses is to make use of the functionally graded material concepts for the panel core [7]. Sburlati et al [25] investigated the effect of functionally graded interlayers on bending response of circular sandwich panels in the context of elasticity theory using displacement potentials method. Daynes et al [12] proposed functionally graded core designs based on lattice beam diameter tailoring and lattice cell spatial tailoring Both stiffness and strength of the optimised cores significantly increased compared to the uniform benchmark core. A new analytical method for solving exact three-dimensional equilibrium equations for functionally graded structures, including sandwich panels with graded core, was proposed by Brischetto [11]. The majority of analytical studies on sandwich panels with graded core found in the literature assume the core material to be isotropic.
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