The present plot is a reviewed construction of determination of thermoelastic characteristics such as thermal stress, displacement function and temperature distribution. A plenty of publications since sixth decade of nineteenth century were referred. The plates such as rectangular, circular, hollow cylinder and annular disk have been taken into account for the study and analysis by using heat conduction equation. The stress function, distribution of temperature etc. was evaluated by using mathematical tool of integral transform technique. Furthermore, different materials as a special case were considered and can be referred as a research platform in future