International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Thermo-Mechanical Analysis for an Axisymmetric Functionally Graded Rotating Disc under Linear and Quadratic Thermal Loading

Parth Dinesh Mehta
Department of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar, India.

Manoj Sahni
Department of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar, India.

DOI https://doi.org/10.33889/IJMEMS.2020.5.4.059

Received on December 05, 2019
  ;
Accepted on March 09, 2020

Abstract

The study presents thermo-mechanical analysis of functionally graded (FG) rotating disc whose material properties, namely, Young’s modulus, density and coefficient of thermal expansion in radial direction are tailored from inner to outer radius using power law form. The disc is considered to be under the influence of internal pressure, centrifugal body force and thermal loading of the form linear as well as quadratic. Response of FG disc under linear and quadratic temperature profile subjected to internal pressure as well as centrifugal body force is analysed. An exact solution for stress in radial and tangential directions, under mechanical and thermal loading is presented. Numerical solutions for stresses under internal pressure with uniform thermal loading are obtained using finite element method and its comparison with analytical results is presented graphically. Results for radial displacement, radial stress and tangential stress are depicted graphically and their interpretation has been discussed.

Keywords- Functionally graded rotating disc, Stresses, Young’s modulus, Coefficient of thermal expansion, Internal pressure.

Citation

Mehta, P. D., & Sahni, M. (2020). Thermo-Mechanical Analysis for an Axisymmetric Functionally Graded Rotating Disc under Linear and Quadratic Thermal Loading. International Journal of Mathematical, Engineering and Management Sciences, 5(4), 744-757. https://doi.org/10.33889/IJMEMS.2020.5.4.059.

Conflict of Interest

The authors confirm that there is no conflict of interest to declare for this publication.

Acknowledgements

Authors would like to acknowledge reviewers for their insightful suggestions and valuable comments.

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