Porous Functionally Graded Plates: An Assessment of the Influence of Shear Correction Factor on Static Behavior

Abstract

The known multifunctional characteristic of porous graded materials makes them very attractive in a number of diversified application fields, which simultaneously poses the need to deepen research efforts in this broad field. The study of functionally graded porous materials is a research topic of interest, particularly concerning the modeling of porosity distributions and the corresponding estimations of their material properties—in both real situations and from a material modeling perspective. This work aims to assess the influence of different porosity distribution approaches on the shear correction factor, used in the context of the first-order shear deformation theory, which in turn may introduce significant effects in a structure’s behavior. To this purpose, we evaluated porous functionally graded plates with varying composition through their thickness. The bending behavior of these plates was studied using the finite element method with two quadrilateral plate element models. Verification studies were performed to assess the representativeness of the developed and implemented models, namely, considering an alternative higher-order model also employed for this specific purpose. Comparative analyses were developed to assess how porosity distributions influence the shear correction factor, and ultimately the static behavior, of the plates.

Variable Stiffness Composites: Optimal Design Studies

“…They depend on the x coordinate, thus on θ 0 and θ 1 angles as denoted in the constitutive relation. Additionally, as according to this theory the equilibrium conditions are not satisfied at the plate's upper and lower surfaces, a shear correction factor k is needed [20,26,27].…”

“…The results obtained are presented in Table 3, for the present FSDT model. In this case one has considered also for illustrative purposes, a situation where the shear correction factor assumes the value 5/6, and another situation where, as previously mentioned, this factor is calculated [27].…”

Buckling Response of Functionally Graded Porous Plates Due to a Quasi-3D Refined Theory

“…The most recent progress in manufacturing techniques allows for the fabrication of porous materials with an FG utilizing technologies such as additive 3D printing. As a result, porous materials with specified variable stiffness may be created and adapted for specific technical applications, maximizing performance and decreasing weight [19,20]. Therefore, it is crucial to consider the effect of porosity on the buckling response of FG porous structures, taking into account the presence of porosities in the internal FG structures.…”

Critical Temperatures for Vibrations and Buckling of Magneto-Electro-Elastic Nonlocal Strain Gradient Plates

“…In [38][39][40] a nonlocal nonlinear first-order shear theory is used for investigating the buckling and free vibration of magneto-electro-thermo elastic (METE) nanoplates under magneto-electrothermo-mechanical loadings. Mota in [41] investigated the influence of shear factor used in the context of the first-order shear deformation theory on functionally graded porous materials. In [42] free and forced vibration of a functionally graded piezoelectric plate with the properties of the material varying along the thickness are investigated.…”