|
Thermal stresses are an important consideration in production processes involving large temperature changes. Recently, Thermal stresses have also become significant in semiconductors related to wafers. To calculate the thermal stresses, we analysis four kinds of boundary conditions. This article investigates the thermal stress in a 8 inch wafer with its surfaces subjected to heat radiation. In order to obtain the solution of the governing equation, which is a partial differential equation, the following procedures of analysis are used. 1. Normalize the governing partial differential equation of temperature subject to appropriate initial and boundary conditions. Use finite-difference method to transform the governing equation, initial and boundary conditions. 2. Normalize the governing partial differential equation of stress subject to appropriate initial and boundary conditions. 3. Substitute the temperature distribution into the governing equation of thermal stresses. Then use Simpson, s method to obtain the thermal stress distribution as a function of time and position of the wafer.
|