Perforated discs have many applications in different parts of industry. By making such disks of FUNCTIONALLY GRADED MATERIALS, more capabilities can be obtained from them. Vibration analysis of these kinds of disks can help us make them more efficient. In this paper, modeling and evaluation of disk vibration of FUNCTIONALLY GRADED MATERIALS with regard to thickness were carried out using Abaqus software. Since no certain element has been defined regarding FUNCTIONALLY GRADED MATERIALS for the design and analysis of a particular element in Abaqus software, molding of such MATERIALS has been used in this application. In order to verify the results, the results obtained from ABAQUS analysis have been compared with those available in the literature. The obtained results show that by defining more layers with regard to changes in properties, the obtained results approach the exact solutions.

Increasing attention of High-Tech industries (e. g. aerospace and defense industries) to FUNCTIONALLY GRADED MATERIALS (FGMs) reveals the high performance of these types of MATERIALS, which is mainly due to the unique properties of these MATERIALS. In the current study, high velocity impact on AA5083-H11 / Ti-6Al-4V FGMs is conducted numerically in ABAQUS by considering the plastic and damage models of Johnson-cook and utilizing a Python code. Influence of projectile nose (considering three different types of impactor nose), effect of type of distribution function (Power-law (P-FGM) and Sigmoid (S-FGM)), and the stacking sequence of metallic alloys in the FGM are some of the main parameters investigated in the present study. The results show that FGM samples have a better performance than the pure metallic alloys. Moreover, despite the type of distribution function, the sample with linear distribution (i. e., n=1) has the best performance against the impact. However, at a same condition, S-FGM sample has higher energy absorption than P-FGM one. Finally, it is realized that an FGM target has a higher impact resistance against a conical-shape (SCN) impactor, rather than a flat-nose (FLT) one. This behavior has been justified via formation of a petal in the impact of FLT on FGM, while in the impact of SCN on FGM, only plugging formation has been seen. As a result, it can be deduced that in the high velocity impact on FGMs, petal formation has a higher effect on the energy absorption of target, when compared to the plugging formation.

In this article, nonuniformity effects on free vibration analysis of FUNCTIONALLY GRADED beams is discussed. Variation in material properties is modeled after power law and exponential models and the nonuniformity is assumed to be exponentially varying in the width along the beams with constant thickness. Analytical solution is achieved for free vibration with simply supported conditions. Results show that FUNCTIONALLY GRADED material (FGM) accompanying section variation have a significant effect on natural frequencies of FGM nonuniform beams. In order to show this dependency, Al/Al2O3 composite beam is modeled and the first three natural frequencies with simply supported boundary conditions is obtained for different power law and exponential parameters which shows a great sensitivity to nonuniformity in different shape modes.

Using Donnell-type shell theory a simple and exact procedure is presented for linear buckling analysis of FUNCTIONALLY GRADED conical shells under axial compressive loads and external pressure. The solution is in the form of a power series in terms of a particularly convenient coordinate system. By analyzing the buckling of a series of conical shells, under various boundary conditions and different material coefficients, the validity of the presented procedure is confirmed.