Abstract
In this work, analytical solution of simply supported sandwich arches considering permeation effect of adhesives is presented. The permeation layer is described by the functionally graded material, exponentially graded in the radial direction. The stresses and deformations of each layer are based on the two-dimensional (2D) elasticity theory in the polar coordinate. The governing equations of the arch are solved by the layer-wise method, which turns the differential equations with variable coefficients into constant coefficients. The solution can be obtained efficiently by means of the recursive matrix method, especially for the arch with many layers. The present solution agrees well with the finite element solution with a fine mesh, while the finite element method is time consuming in mesh division and calculation. The one-dimensional (1D) solution based on the Euler–Bernoulli theory is close to the present one; however, the error increases as the arch becomes thick. The effect of permeation layer thickness on the stresses is studied. It is indicated that the stress distributions tend to be smooth along the radial direction as the permeation layer thickness increases.
Highlights
Owing to various advantages such as corrosion resistance, antifatigue, and high specific strength and stiffness, composite structures are increasingly used in different branches of engineering
The adhesive will permeate into adjacent macrovoid materials such as glass fiber, balsa wood, and aluminum honeycomb, which leads to a refined sandwich model, as shown in Figure 1. e permeation layer is the mixture of the face layer and the adhesive. is makes the material property smoothly vary along the radial direction, like of functionally graded material (FGM)
In addition to sandwich plates, sandwich arches have received a lot of attention due to their advantage of artistic appearance and excellent load-carrying capacity. e present study aims at extending their work to investigate the sandwich arch with permeation effect
Summary
Owing to various advantages such as corrosion resistance, antifatigue, and high specific strength and stiffness, composite structures are increasingly used in different branches of engineering. E stress distribution in a sandwich plate with the FG face was studied by Raissi et al [8] by the use of the layer-wise method based on the firstorder shear deformation theory. Bouchafa et al [11] presented a new refined hyperbolic shear deformation theory with only four unknown functions to analyze the thermoelastic bending of FG sandwich plates. Vibration, and buckling analysis of FG sandwich plates were analyzed by Nguyen et al [12] according to the refined higher-order shear deformation theory. Natarajan and Manickam [15] presented a QUAD-8 shear flexible element method based on higherorder shear deformation theory to study the bending and free flexural vibration of FG sandwich plates. 2D elasticity solution is presented for a refined sandwich arch model considering the permeation effect of the adhesive. Direction. e general solution of stresses and deformations with unknown coefficients is obtained by means of the layerwise method. e coefficients are determined via the recursive matrix method, which is efficient for arches with many layers. e solution obtained is compared with the finite element solution and 1D solution based on the Euler–Bernoulli theory, respectively
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
