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Steady-State Thermal Analysis of Functionally Graded Rotating Disks Using Finite Element and Analytical Methods
M M Shahzamanian1,2, A Shahrjerdi3, B B Sahari4
1Department of Mechanical Engineering, McMaster University, Hamilton, ON L8S 4L7, Canada.
Materials (Basel, Switzerland)
|August 26, 2022
Summary
This study analyzed a rotating functionally graded (FG) disk, comparing an in-house finite element (FE) program with analytical solutions. Results show material gradation significantly impacts thermal stress and strain in FG disks.
Area of Science:
- Solid Mechanics
- Materials Science
- Computational Engineering
Background:
- Functionally graded materials (FGMs) offer tailored properties by varying composition.
- Rotating disks are critical components in many engineering applications, experiencing thermal and mechanical stresses.
- Understanding thermal behavior in FGMs is crucial for designing reliable components.
Purpose of the Study:
- To perform a steady-state thermal analysis of a hollow, axisymmetric functionally graded rotating disk.
- To compare temperature distribution results from an in-house finite element (FE) program, ANSYS Parametric Design Language (APDL), and an analytical solution.
- To investigate the influence of material gradation on thermal stress and strain.
Main Methods:
- Developed an in-house finite element (FE) program utilizing the weighted residual method for temperature distribution analysis.
- Simulated a functionally graded (FG) disk with metal and ceramic materials using a power law distribution for material properties.
- Validated the in-house FE program against APDL and analytical solutions for temperature distribution.
Main Results:
- The in-house FE program accurately predicted temperature distribution, matching APDL and analytical solutions.
- Material gradation significantly affects the temperature, thermal strain, and stress within the FG disk.
- The in-house FE program offers more efficient post-processing and optimization capabilities compared to commercial software.
Conclusions:
- The developed in-house FE program is a validated and efficient tool for analyzing FG materials.
- Material gradation is a key parameter influencing the thermomechanical behavior of rotating FG disks.
- The in-house code facilitates optimization for minimizing thermal stress and strain while maintaining stiffness.
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