Abstract
Hard-core sandwich plates are widely used in the field of aviation, aerospace, transportation, and construction thanks to their superior mechanical properties such as sound absorption, heat insulation, shock absorption, and so on. As an important form, the circular sandwich is very common in the field of engineering. Thus, theoretical analysis and numerical simulation of bending and buckling for isotropic circular sandwich plates with a hard core (SP-HC) are conducted in this study. Firstly, the revised Reissner’s theory was used to derive the bending equations of isotropic circular SP-HC for the first time. Then, the analytic solutions to bending deformation for circular and annular sandwich SP-HCs under some loads and boundary conditions were obtained through the decoupled simplification. Secondly, an analytic solution to bending deformation for a simply supported annular SP-HC under uniformly distributed bending moment and shear force along the inner edge was given. Finally, the differential equations of buckling for circular SP-HCs in polar coordinates were derived to obtain the critical loads of overall instability of SP-HC under simply supported and fixed-end supported boundary conditions. Meanwhile, the numerical simulations using Nastran software were conducted to compare with the theoretical analyses using Reissner’s theory and the derived models in this study. The theoretical and numerical results showed that the present formula proposed in this study can be suitable to both SP-HC and SP-SC. The efforts can provide valuable information for safe and stable application of multi-functional composite material of SP-HC.
Highlights
The sandwich structure used in engineering generally refers to a composite structure consisting of two high-strength thin plates and sandwich materials filled between them [1,2,3,4]
The theory treats the sandwich plate as a thin film and ignores its bending stiffness. It considers that the stress component parallel to the plate plane in the sandwich is zero because the sandwich is soft. This theory is relatively simple in solving the overall bending and stability problems of sandwich plates, and its calculation can basically meet the requirements of engineering applications. (b) Hoff theory [10], which differs from Reissner’s theory only in that it is based on the assumption that the sandwich plate is a thin plate, i.e., the bending resistance and the transverse shear deformation of the plate are considered
Compared with that of Reissner’s theory, the equation derived from such a theory has an additional coefficient of bending stiffness Df of the surface board, as well as a different expression for the shear stiffness C. (c) Prusakov–Du Qinghua theory [11], a theoretical analysis model considering transverse elastic deformation of the sandwich proposed by Prusakov and Du Qinghua, who considered that, in practice, sandwich plates have antisymmetric bending deformation and overall instability deformation, and symmetric deformation and local forms of instability
Summary
The sandwich structure used in engineering generally refers to a composite structure consisting of two high-strength thin plates and sandwich materials filled between them [1,2,3,4]. It considers that the stress component parallel to the plate plane in the sandwich is zero because the sandwich is soft This theory is relatively simple in solving the overall bending and stability problems of sandwich plates, and its calculation can basically meet the requirements of engineering applications. (b) Hoff theory [10], which differs from Reissner’s theory only in that it is based on the assumption that the sandwich plate is a thin plate, i.e., the bending resistance and the transverse shear deformation of the plate are considered. Sokolinsky et al investigated the buckling behavior of sandwich plates under different boundary conditions and boundary loads based on the higher-order shear theory [17]. The analytical models proposed in this study can provide some valuable information and theoretical supports for analyzing the bending and stability of SP-HC structures
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