Research Article
Deformation and stress analysis of rotating functionally graded hollow cylindrical body for variable heat generation
Rakesh Kumar Sahu1, Lakshman Sondhi1, Shubhankar Bhowmick2, Royal Madan3
1Department of Mechanical Engineering, Shri Shankaracharya Group of Institute, Bhilai, India
2Department of Mechanical Engineering, National Institute of Technology Raipur, Raipur, India
3Department of Mechanical Engineering, G H Raisoni Institute of Engineering & Technology, Nagpur, India
Keywords
Abstract
Functionally graded materials;
Stress analysis;
Hollow cylinder;
Navier’s method
In the present study, one-dimensional steady-state temperature variation with variable heat generation was considered and thermo-mechanical stress and deformation analysis on a hollow functionally graded cylinder were then performed. A governing differential equation with a variable coefficient is solved using Navier’s equation by applying thermal and mechanical boundary conditions. The effect of internal pressure and temperature, rotation, gravity, and heat generation, and their combined effect such as rotation and heat generation, gravity and heat generation, rotation, gravity, and heat generation were studied in a cylindrical body. The gradation properties varied radially as per power-law variation. The grading parameter ranging between -2 to 3, changes the material properties in the radial direction. A critical grading index was identified that lowers the induced stresses and hence an improvement in the performance of functionally graded cylinders can be obtained under the influence of a combination of loads. The validation of the results was carried out with published literature.
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