Thermal Analysis of Functionally Graded Materials

Functionally graded materials (FGMs) are engineered composites in which constituent phases vary continuously over one or more spatial dimensions to achieve tailored thermal, mechanical and chemical properties. Thermal analysis of FGMs encompasses the study of heat conduction, transient temperature fields and thermally induced stresses and deformations within the graded structure. Variations in thermal conductivity, specific heat and thermal expansion coefficients can be modelled using power‐law, exponential or cosine functions of position, enabling optimisation of temperature distributions and minimisation of thermal gradients. Analytical solutions, numerical simulations and experimental measurements are employed to characterise the unsteady and steady‐state heat transfer behaviour under boundary conditions ranging from constant temperature and flux to time‐dependent loads. Key challenges include accounting for temperature‐dependent material properties, interfacial thermal resistance and non‐Fourier conduction effects in high‐temperature or high‐frequency regimes. Applications span aerospace thermal protection systems, biomedical implants with graded porosity, wear‐resistant surfaces under frictional heating, electronic packaging and energy devices, where precise control of temperature and stress is critical. Recent advances have focused on coupling thermal analysis with mechanical stability, such as dynamic thermal buckling of shells, and on refining analytical methods to capture complex geometries such as hollow cylinders and spherical shells. The global significance of this research lies in enhancing performance, safety and lifespan of structures subjected to severe thermal environments while reducing weight and material waste.

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Thermal Analysis of Functionally Graded Materials publication trend

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Technical terms

Functionally graded material (FGM): A composite whose constituent phases vary continuously in composition or microstructure to achieve spatially tailored properties.

Thermal conductivity: A material property that quantifies the ability to conduct heat through a medium per unit temperature gradient.

Transient heat conduction: The time‐dependent process by which heat propagates through a material until thermal equilibrium is reached.

Thermal buckling: The loss of structural stability caused by temperature‐induced deformation and stresses exceeding critical values.

Gradient parameter: A numerical exponent or coefficient defining the rate and form of variation of material properties within an FGM.

References

1. Impact of various heat sources on the transient heat transfer rate in a 3D cylinder consisting of parts with different thermal conductivity coefficients. International Journal of Thermofluids (2024).
2. The Effect of Functionally Graded Materials on Temperature during Frictional Heating: Under Uniform Sliding. Materials (2021).
3. Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time‐Dependent Boundary Conditions. Mathematical Problems in Engineering (2013).
4. Dynamic thermal buckling of spherical porous shells. Thin-Walled Structures (2022).