Transient stress and deformation analysis of a shear deformable FG rotating cylindrical shell made of AL-SIC subjected to thermo-mechanical loading

ABSTRACT

Transient stress and deformation analysis of a functionally graded rotating cylinder made of Al-Sic with short length under thermal and mechanical loads is studied in this paper. It is assumed that the cylinder is located on a friction bed and is subjected to an external torque. The material property is assumed to be variable along the radial direction based on volume fraction distribution. Thermal conductivity equation with time parameter is solved to obtain temperature distribution by Finite Difference Method. First-order shear deformation theory is used to derive kinematic relations. The governing equations are derived using minimum total potential energy and Euler relations. These governing equations are solved using the method of Eigenvalue and Eigenvector. The physical and loading boundary conditions are applied to obtain unknown coefficients. As the main result of this paper, it is concluded that the radial displacement is uniform at the middle of a cylindrical shell and is decreased to zero with an increase of axial coordinate.

KEYWORDS:

• Transient thermoelastic analysis
• shear deformation theory
• FG rotating cylinder
• thermo mechanical loading

Nomenclature

Table

Acknowledgments

The University of Kashan is acknowledged with thanks by the authors for supporting this work by giving research grant No. 489157/2.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Mostafa Omidi Bidgoli

Mostafa Omidi Bidgoli received his Ph.D degrees in Solid Mechanics from  University of kashan, in 2019. Dr. Omidi Bidgoli is currently an Assistant Professor of Mechanical Engineering at the Islamic Azad University of Badroud branch in Badroud, Iran. His research fields of interest are Thermo- elastic and creep analysis of FG Structures ,FSDT, Cylindrical Shell and solid mechanics.

Abbas Loghman

Mohammad Arefi received his B.S. degree in Mechanical Engineering from University of Kashan, Iran, in 2006.He then received his M.S. and Ph.D degrees in Solid Mechanics from Tarbiat Modares University, Tehran, Iran, in 2008 and 2012 respectively. Dr. Arefi is currently an Assistant Professor of Mechanical Engineering at the University of Kashan in Kashan, Iran. He worked on the various subjects in solid mechanics such as application of shear deformation theories to functionally graded piezoelectric materials and also pressure vessels. He is currently working on the nano and micro mechanics and composite structures reinforced with nano materials. He received more than 2500 citations and H-Index=33 from Scopus Database.

Mohammad Arefi

Abbas Loghman received his B.S. degree in Mechanical Engineering from Sharif University of Technology, Tehran, Iran, in 1978.He then received his M.S. degree in Solid Mechanics from Amirkabir university of Technology, Tehran, Iran, in 1986 and then he received his Ph.D. degree from The University of Adelaide, Australia. in 1995. Dr. Loghman is currently a Professor of Mechanical Engineering at the University of Kashan in Kashan, Iran. He serves as head of the Faculty of Mechanical Engineering at the University of Kashan. Dr. Loghman research interests include Structural Creep Analysis and stress analysis of FGM structures.

Reza Koohi Faegh

Reza Koohi Faegh received his B.S. degree in Mechanical Engineering from University of Shahrekourd, Shahrekourd Iran, in 2009.He then received his M.S. degrees in Solid Mechanics from University of Kashan, Kashan, Iran, in 2016. He carried out his thesis in the field of two dimensional time-dependent creep analysis of a thick-walled FG cylinder based on first order shear deformation theoryunder supervision of Loghman and Arefi.His research fields of interest are FSDT, thermo-elastic analysis and creep in FG rotating cylindrical shells. he works in Mapna Group in Iran.