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

Abstract

Purpose The purpose of this study is to investigate Thermo-mechanical limit elastic speed analysis of functionally graded (FG) rotating disks with the temperature-dependent material properties. Three different material models i.e. power law, sigmoid law and exponential law, along with varying disk profiles, namely, uniform thickness, tapered and exponential disk was considered. Design/methodology/approach The methodology adopted was variational principle wherein the solution was obtained by Galerkin’s error minimization principle. The Young’s modulus, coefficient of thermal expansion and yield stress variation were considered temperature-dependent. Findings The study shows a substantial increase in limit speed as disk profiles change from uniform thickness to exponentially varying thickness. At any radius in a disk, the difference in von Mises stress and yield strength shows the remaining stress-bearing capacity of material at that location. Practical implications Rotating disks are irreplaceable components in machinery and are used widely from power transmission assemblies (for example, gas turbine disks in an aircraft) to energy storage devices. During operations, these structures are mainly subjected to a combination of mechanical and thermal loadings. Originality/value The findings of the present study illustrate the best material models and their grading index, desired for the fabrication of uniform, as well as varying FG disks. Finite element analysis has been performed to validate the present study and good agreement between both the methods is seen.

Thermo-mechanical deformation and stress analysis of a rotating FG hollow cylindrical body

“…A power law FGM performs best under the influence of combined thermal and mechanical loads in comparison to other gradations (Madan and Bhowmick, 2021a, 2021c). Therefore, in this research, a rotating FG hollow cylinder was studied in which the material properties vary radially as per power law.…”

Limit angular speed analysis of porous functionally graded rotating disk under thermo-mechanical loading

“…The modelling of FGMs is important because the effective estimation of material properties defines the accuracy with which the solution of different engineering analysis such as stress analysis (Madan and Bhowmick, 2021), buckling (Bakoura et al. , 2021; Daikh, 2020; Javaheri and Eslami, 2002; Yang et al.…”

“…The modelling of FGMs is important because the effective estimation of material properties defines the accuracy with which the solution of different engineering analysis such as stress analysis (Madan and Bhowmick, 2021), buckling (Bakoura et al, 2021;Daikh, 2020;Javaheri and Eslami, 2002;Yang et al, 2021), bending analysis (Arefi and Zenkour, 2017;Arshid et al, 2021;Bellifa et al, 2016;Karamanlı, 2017), free vibration (Bacciocchi et al, 2019;Chen et al, 2016a;Garg et al, 2022;Iurlaro et al, 2015) and for a combination of loads (Arefi and Zenkour, 2017;Behravan Rad and Shariyat, 2016;Zenkour, 2014). Out of several available models rule of mixture, modified rule of mixture, Mori-Tanaka and Halpin-Tsai method are widely used (Madan and Bhowmick, 2022).…”

Fabrication and microstructural characterization of Al-SiC based functionally graded disk

“…In Salama et al (2019), developed a novel low-cost method for fabricating Al-CNT functionally graded (FG) cylinders with varying CNT content along the radial direction, which has higher hardness and Young’s modulus values than pure Al. There have been numerous theoretical studies on the static and dynamic behavior of FG structures, including shells (Mirjavadi et al , 2020), beams (Rabia et al , 2019), disks (Madan and Bhowmick, 2021a), cylinders and plates (Reddy and Chin, 1998), to name a few. The use of rotating disks in machinery is widespread, ranging from power transmission assemblies to energy storage devices (e.g.…”