Limit Elastic Analysis of E-FGM Rotating Disk with Temperature Dependent Mechanical Properties

Abstract

In present work, exponential law based grading of composition is considered for high speed rotating disks and Young's modulus is calculated for two cases namely; temperature dependent and temperature independent applications. In temperature dependent applications, Young's modulus is assumed to vary with temperature as well throughout the spatial coordinates of the disk. The effective Young's modulus of FGM is then calculated using modified rule of mixture. Limit elastic analysis is performed by using variational principle. Results show the effect of temperature over stresses and obtained limit elastic speed. It is observed that limit speed first increases with an increase in aspect ratio and starts decreasing after reaching a critical value. Limit speed also increases with increase in grading index. Effective yield stress of FGM is computed and plotted along with other stresses to identify location of yielding.

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

“…Hence, an empirical model as specified in equation (9) was used. In equation (9), σ yo (yield strength of base material) and R (stress-strain transfer function) are taken as 1,035 MPa and 1.19 (Madan et al , 2019b): …”

“…As the fabrication of Al/SiC is not possible due to wettability issues, and successful fabrication of Ni/Al 2 O 3 FGM was developed by Bhattacharyya et al (2008) using the powder metallurgy method, hence, the present study was performed for Ni/Al 2 O 3 FGM. In modeling of FGMs, there are a large number of alternate approaches have been developed over the past few decades such as the rule of mixture, Mori-Tanaka model, Halpin-Tsai method (Madan et al , 2019b; Madan et al , 2020a; Madan et al , 2020b) and others to name a few, but pieces of literature reveal the rule of mixture to be inadequate in estimating the material properties of particulate composites (Madan, 2018). To overcome this problem, for this study, the Halpin-Tsai method is used to investigate Young’s modulus and MROM for yield strength of FG disk.…”

Modeling of functionally graded materials to estimate effective thermo-mechanical properties

“…Spray atomized method is used to prepare layered Al/ SiC graded structures to investigate residual stress. The modeling of FGM's is carried out either by varying the volume fraction of material in which the composition of the constituent changes as per laws like P-FGM (Madan et al, 2020a(Madan et al, , 2020b(Madan et al, , 2020c, S-FGM (Madan et al, 2019a), E-FGM (Madan et al, 2019b) or by directly assuming the material properties of a material.…”