Effect of porosity and boundary conditions on dynamic characteristics of cracked plates made of functionally graded materials

This research investigates the influence of defects, such as porosities, that may arise during the manufacturing process of functionally graded material (FGM) plates. These defects have the potential to significantly impact the behavior of structural elements. The primary focus of the study is the examination of the free vibration characteristics of porous and cracked FGM plates for different material composition types. The distribution of Young's modulus along the thickness of the plate is modeled using a power-law formulation, while the Poisson's ratio remains constant. Various material gradation types are explored, and the proposed model's accuracy is assessed through comparative analysis. Furthermore, the research investigates into how alterations in the porosity distribution rate, material gradation types, power-law index, thickness ratio, depth and location of the crack influence the fundamental frequency of the plates. It was found that the porosity with its various shapes, as well as the boundary conditions, significantly influence the dynamic behavior of an imperfect plate.