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Structural Engineering and Mechanics Volume 91, Number 6, September25 2024 , pages 627-642 DOI: https://doi.org/10.12989/sem.2024.91.6.627 |
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Investigating thermo-mechanical stresses in functionally graded disks using Navier's method for different loading conditions |
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Sanjay Kumar Singh, Lakshman Sondhi, Rakesh Kumar Sahu, Royal Madan and Sanjay Yadav
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| Abstract | ||
| In the present work, the deformation and stresses induced in a functionally graded disk have been reported for different loading conditions. The governing differential equation is solved using the classical method namely Navier's method by considering thermal and mechanical boundary conditions at the surface of the disk. To simplify solving the second-order differential equation, a plane stress condition was assumed. Following validation using a one-dimensional steady-state heat condition problem, temperature variations were computed for constant heat generation and varying conductivity. The research aims to investigate both the individual and combined effects of rotation, gravity, and temperature with constant heat generation on a hollow disk operating under complex loading conditions. The results demonstrated a high degree of accuracy when compared with those in existing literature. Material properties, such as Young's modulus, density, conductivity, and thermal expansion coefficient, were modeled using a power law variation along the disk's radius by considering aluminum as a base material. The proposed analytical method is straightforward, providing valuable insights into the behavior of disks under various loading conditions. This method is particularly useful for researchers and industries in selecting appropriate loading conditions and grading parameters for engineering applications, including aerospace components, energy systems, and rotary machinery parts. | ||
| Key Words | ||
| classical method; constant heat generation; elastic analysis; functionally graded disk; variable conductivity | ||
| Address | ||
| Sanjay Kumar Singh: Department of Mechanical Engineering, Chhatrapati Shivaji Institute of Technology Durg, Chhattisgarh 491001, India Lakshman Sondhi: Department of Mechanical Engineering, Shri Shankaracharya Technical Campus Bhilai, Chhattisgarh 490020, India Rakesh Kumar Sahu: Department of Mechanical Engineering, Visvesvaraya National Institute of Technology, Nagpur, Maharashtra 440010, India Royal Madan: Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun 248002, Uttarakhand, India Sanjay Yadav: Department of Mechanical Engineering, I.T.S Engineering College, 46, Knowledge Park-III, Greater Noida, U.P.-201310, India | ||