Secondary Creep Analysis of FG Rotating Cylinder with Exponential, Linear and Quadratic Volume Reinforcement
Abstract
:1. Introduction
2. Secondary Creep Phenomenon in Engineering Applications
2.1. Problem Description of Functionally Graded Cylinder in Engineering
2.2. Mathematical Modeling for Secondary Creep Analysis of FG Cylinder
3. Results and Discussion
3.1. Effect of Exponential Volume Reinforcement
3.2. Effect of Linear Volume Reinforcement
3.3. Effect of Quadratic Volume Reinforcement
4. Conclusions
- Radial stress in a rotating cylinder with an increasing exponential volume reinforcement gradation has higher magnitude and compressiveness as compared to increasing linear volume reinforcement gradation.
- Radial stress in a rotating cylinder with decreasing exponential volume reinforcement gradation has lower magnitude as compared to decreasing linear volume reinforcement gradation.
- Radial stresses in cylinder with quadratic volume reinforcement profile are found to be compressive throughout the radius. Its compressiveness increases towards the outer radial points of the cylinder as we increase the volume reinforcement. Further, the compressiveness at the outer radial points is higher in the case of internal pressure as compared to external pressure.
- Tangential stresses in a rotating cylinder with increasing exponential volume reinforcement profile decreases from inner to outer radius of the cylinder whereas under increasing linear volume reinforcement profile it increases from inner to outer radius of the cylinder.
- In a rotating cylinder with decreasing exponential volume reinforcement profile, tangential stress increases from inner to outer radius of the cylinder whereas under linear volume reinforcement profile, it decreases from inner to outer radius of the cylinder.
- In case of quadratic volume reinforcement profile, tangential stress increase from inner to outer radius of the cylinder and their magnitude also increase with increase in volume reinforcement in cylinder.
- Strain rates in radial and tangential directions of cylinder under decreasing exponential volume reinforcement profile are of higher magnitude under internal pressure as compared to external pressure. In the case of linear volume reinforcement, it has higher magnitude under internal pressure as compared to external pressure. Further, under decreasing exponential volume reinforcement profile, their magnitude increases from the inner to outer radius whereas in the linear volume reinforcement profile, their magnitude decreases from the inner to outer radius.
- Strain rates in radial and tangential directions of a cylinder with quadratic reinforcement are higher in magnitude under internal pressure as compared to external pressure. Further, with an increase in volume reinforcement, their magnitude increases from the inner to outer radius of the cylinder.
- Thus, based on the obtained results, a comparison of creep stresses and strain rates among rotating cylinders with linearly and non-linearly varying volume reinforcement profile is presented. It can be observed from the above study outcomes that the nature of reinforcement function of in metal matrix at inner and outer radial surfaces causes a significant effect on the magnitude of creep stresses and strain rates at inner and outer radial surfaces, under internal/external pressure conditions.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
FGM | Functionally Graded Material |
SiCp | Silicon Carbide Particulates |
Appendix A
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Sahni, M.; Mehta, P.D.; Sahni, R.; León-Castro, E.; Espinoza-Audelo, L.F. Secondary Creep Analysis of FG Rotating Cylinder with Exponential, Linear and Quadratic Volume Reinforcement. Materials 2022, 15, 1803. https://doi.org/10.3390/ma15051803
Sahni M, Mehta PD, Sahni R, León-Castro E, Espinoza-Audelo LF. Secondary Creep Analysis of FG Rotating Cylinder with Exponential, Linear and Quadratic Volume Reinforcement. Materials. 2022; 15(5):1803. https://doi.org/10.3390/ma15051803
Chicago/Turabian StyleSahni, Manoj, Parth Dinesh Mehta, Ritu Sahni, Ernesto León-Castro, and Luis F. Espinoza-Audelo. 2022. "Secondary Creep Analysis of FG Rotating Cylinder with Exponential, Linear and Quadratic Volume Reinforcement" Materials 15, no. 5: 1803. https://doi.org/10.3390/ma15051803