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Use of Functionally Graded Material to Decrease Maximum Temperature of a Coating-Substrate System
Aleksander Yevtushenko1, Katarzyna Topczewska1, Przemysław Zamojski1
1Faculty of Mechanical Engineering, Bialystok University of Technology (BUT), 45C Wiejska Street, 15-351 Bialystok, Poland.
Materials (Basel, Switzerland)
|March 29, 2023
Summary
A new mathematical model analyzes temperature distribution in functionally gradient material (FGM) coatings on substrates during frictional heating. The model provides exact and asymptotic solutions for thermal loads, crucial for braking systems.
Area of Science:
- Materials Science
- Heat Transfer
- Mathematical Modeling
Background:
- Understanding temperature distribution in coated systems is vital for applications like braking systems.
- Functionally gradient materials (FGMs) offer tailored thermal properties, but their thermal behavior requires precise modeling.
- Frictional heating during braking generates significant thermal loads that impact material integrity.
Purpose of the Study:
- To develop a mathematical model for temperature distribution in a functionally gradient material (FGM) coating on a substrate.
- To analyze the thermal response under constant and time-decreasing heat flux, simulating braking conditions.
- To compare the thermal performance of FGM coatings with homogeneous coatings.
Main Methods:
- Proposed a mathematical model for heat conduction in a coated system with an exponentially graded FGM coating.
- Obtained exact solutions in quadrature for parabolic heat conduction boundary-value problems.
- Derived asymptotic solutions for small and large Fourier numbers.
- Performed comparative analysis using ZrO2-Ti-6Al-4V FGM on cast iron versus a homogeneous ZrO2 coating.
Main Results:
- An exact analytical solution for temperature distribution was derived.
- Asymptotic solutions were obtained for transient heat transfer scenarios.
- The study quantified the temperature distribution differences between FGM and homogeneous coatings.
- The model effectively simulates thermal loads typical of frictional heating during braking.
Conclusions:
- The developed mathematical model accurately predicts temperature distribution in FGM-coated systems under relevant thermal loads.
- Functionally gradient materials exhibit distinct thermal behavior compared to homogeneous materials, influencing system performance.
- The findings are applicable to optimizing material selection and design in high-temperature applications, such as automotive braking systems.
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