Out-of-Plane Bending of Functionally Graded Thin Plates with a Circular Hole

Abstract

The out-of-plane bending problems of functionally graded thin plates with a circular hole are studied for two-dimensional deformations. The thin plates have arbitrary variations of elastic properties along the radial direction. The general solutions of the stresses and moments are presented for the plates subjected to remote bending moments based on the theory of complex variable functions. Two different cases—a whole functionally graded plate with a circular hole and a functionally graded ring reinforced in a homogeneous perforated plate—are considered by numerical examples. The influence of parameters like Young’s modulus and Poisson’s ratio, function types of these elastic properties, and width of the reinforcing ring on the moments around the hole is presented. It is shown that the moment concentration, caused by the geometric discontinuity of the hole in the traditional homogeneous plate, can be well relieved or even eliminated by careful selection of the above parameters. The results for some special cases are compared with previous literatures and are found in good agreement.

On stress concentration analysis of inverse distance weighted function based finite FGM panel with circular hole under biaxial loading

“…, 2019). Yang et al. (2020) extended the idea of FGM layer to reduce the SCF in the plate under out-of-plane bending load condition.…”

“…Therefore, the concept of the FGM layer is found efficient for infinite panels (Goyat et al, 2019). Yang et al (2020) extended the idea of FGM layer to reduce the SCF in the plate under out-of-plane bending load condition. Yang et al (2021) experimentally investigated the stress concentration reduction for a circular hole with FGM layer and observed that the experimental results have good agreement with theoretical results.…”