article · Materials Research Express
A simple higher-order shear deformation theory has been developed to examine the free vibration and mechanical buckling behaviour of porous functionally graded sandwich plates. The structural configuration features a three-layer plate comprising an isotropic core bounded by two functionally graded face layers. This formulation accounts for transverse shear stress distributions while satisfying traction-free conditions on both the upper and lower surfaces. In addition to examining four distinct distributions of porosity, the research introduces a model for functionally graded sandwich plates governed by a sigmoid function. Exact closed-form solutions are established for simply-supported boundary conditions by applying Navier's solution technique. The resulting analysis evaluates the influence of plate geometry, material inhomogeneity, and porosity on overall buckling capacity and natural vibration frequencies.
Evaluating how complex multi-layered materials behave under mechanical stresses and dynamic vibration is crucial for structural design. Providing analytical models for plates that contain internal voids and graded material properties allows engineers to predict structural limits accurately, aiding the development of efficient, lightweight load-bearing structures.
This work represents early-stage theoretical modelling, deriving closed-form mathematical solutions rather than testing physical prototypes. Structural analysts and composite design engineers could use the formulation to assess graded plate behaviours, but the abstract does not indicate a commercial application pathway or specific industry use case.
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Free vibration and mechanical buckling of porous functionally graded (FG) sandwich plates is studied in this paper by using a new and simple higher-order shear deformation theory (SHSDT). The present theory accounts for the distribution of transvers shear stresses that satisfy the free transverse shear stress conditions on the upper and lower surfaces of the sandwich plate. The FG sandwich plate is composed of three layers, an isotropic core and two FG face layers. Four porosities distribution and new model of FG sandwich plates based on a sigmoid function are presented. The boundary conditions for the FG sandwich plate are assumed to be simply-supported. Navier's solution is used to obtain the closed-form solutions of FG sandwich plates. The effect of porosity, sandwich plate geometry and inhomogeneity parameter on the buckling and free vibration of FG sandwich plate is investigated.
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DOI: 10.1088/2053-1591/ab48a9
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