Title: Mathematical modelling of steady state creep in a functionally graded rotating disc of variable thickness

Authors: Dharmpal Deepak, V.K. Gupta, Ashok K. Dham

Addresses: Department of Mechanical Engineering, Rayat Institute of Engineering and Information Technology, Railmajra, District Shaheed Bhagat Singh Nagar, Punjab, 144533, India. ' Department of Mechanical Engineering, University College of Engineering, Punjabi University, Patiala, Punjab, 147002, India. ' Department of Physics, Punjabi University, Patiala, Punjab, 147002, India

Abstract: A mathematical model has been developed to investigate steady state creep in a rotating disc having linearly varying thickness. The disc is assumed to be composed of functionally graded (FG) composite containing linearly varying content of silicon carbide particles (SiCp) reinforced in a matrix of pure aluminium (Al). The disc material undergoes steady state creep as described by a creep law based on threshold stress with a stress exponent of 5. The mathematical model developed has been employed to investigate the effect of imposing various linear gradients of SiCp on the creep performance of the FG disc. The study indicates that with the increase in SiCp gradient, the radial stress increases throughout the disc. However, the increase in SiCp gradient results in increase of tangential and effective stresses near the inner radius of the disc but a decrease near the outer radius. The tangential as well as radial strain rates in the FG disc reduce to a significant extent with the increase in SiCp gradient.

Keywords: mathematical modelling; creep; variable thickness; disk thickness; functionally graded composites; rotating disks; silicon carbide; aluminium; radial stress; strain rates.

DOI: 10.1504/IJCMSSE.2011.039568

International Journal of Computational Materials Science and Surface Engineering, 2011 Vol.4 No.2, pp.109 - 129

Available online: 08 Apr 2011 *

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