This study dives into the unpredictable world of functionally graded materials (FGMs) and their conduct under fluctuating temperatures and volumetric fractions. FGMs, described by their remarkable composition gradient, are investigated through a careful analysis of mechanical properties and thermal way of behaving. Utilizing a blend of theoretical formulation, mathematical recreations, and exploratory information, this examination researches the deformation, Young’s modulus, thermal expansion, thermal conductivity, and Poisson's ration of FGMs at temperatures going from 273 to 523 K. Through comprehensive simulations and analyses, the study provides valuable insights into the complex relationships between material properties and temperature in FGMs. The outcomes uncover how the particular volumetric fractions of constituent materials, zirconia (ZrO2) and silicon nitride (Si3N4), impact both thermal and mechanical reactions of FGMs. The interaction of mechanical loading and thermal expansion is analyzed, revealing insight into the deformation patterns at raised temperatures. Besides, the examination clarifies the nonlinear relationships between Young’s modulus, thermal expansion, thermal conductivity, and Poisson’s ratio with the shifting volumetric fractions of the materials. These discoveries are essential for planning FGMs customized for high-temperature applications in fields like aerospace and high-level assembling. By overcoming any issues among theory and application, this study offers a nuanced comprehension of FGM behavior, making ready for the improvement of customized materials with upgraded mechanical and thermal properties. The experiences gave here are instrumental to architects and scientists participated in the plan and streamlining of FGMs for different designing difficulties.