Limit elastic analysis of rotating annular disks having sigmoid-FGM composition based on MROM

• Published in: World journal of engineering Vol. 16; no. 6; pp. 806 - 813
• Main Authors: Madan, Royal, Saha, Kashinath, Bhowmick, Shubhankar
• Format: Journal Article
• Language: English
• Published: Brentwood Emerald Publishing Limited 20.11.2019; Emerald Group Publishing Limited
• Subjects: Angular speed; Aspect ratio; Design criteria; Elastic analysis; Elastic limit; Equivalence; Heat treating; Literature reviews; Material properties; Mathematical analysis; Mechanical properties; Modulus of elasticity; Optimization; Principles; Rotating disks; Strain hardening; Yield criteria; Yield strength; Yield stress; Effective yield stress; Limit elastic speed; S-FGM; Modified rule of mixture; Rotating disk; Stress-strain transfer ratio
• DOI: 10.1108/WJE-05-2019-0155
• ISSN: 1708-5284

Purpose The limit elastic speed of rotating disk is an important design criterion, as it defines the limit before onset of yielding initiates. The purpose of this paper is to establish the limit elastic speeds for S-FG disks and report the stresses induced at such speeds. Design/methodology/approach For S-FGM disk, effective Young’s modulus is calculated using modified rule of mixture and subsequently effective yield stress is also calculated by taking into consideration of stress-strain transfer ratio. The S-FGM disk is subject to centrifugal loading and the stress and deformation characteristics are investigated using variational principle wherein the solution is obtained by Galerkin’s error minimization principle. Based on von-Mises yield criteria, equivalent stress is calculated at different angular speeds till the equivalent stress at any given location in the disk attains the value of effective yield stress at the given location (location of yield initiation). This defines the limit elastic speed for the S-FGM disk (for given n). Findings The limit elastic speed of S-FGM disks for a range of grading index (n) and corresponding stresses within the disk are reported. Results are reported for uniform disks of different aspect ratio and the results reported could be used as practical design data. Practical implications Functional grading of material in structures opens a new horizon to explore the possibility of manufacturing high strength component at low weight. Material grading plays a significant role in achieving desired material properties, and literature review reveals reporting of numerous grading functions to approximate material distribution in structure. Originality/value The work has not been addressed earlier and findings provide a pioneering insight into the performance of S-FG disks.