Thermal Stress and Compaction Stresses in Ceran Cooktop Panels

3e3e2 Thermal Stress and Compaction Stresses in Ceran Cooktop Panels 

The thermal expansion of many glass ceramic materials shows a non-linear temperature dependence. As indicated in Fig. 3.23, Ceran glass ceramic cooktop panels exhibit a parabolic function. 

To figure out these stress distributions, we consider as a model of a cooking area a thin, plane circular disk, which is heated in a concentric circular area, as is shown in Fig. 3.24. The temperature distribution is to be rotationally symmetric  

For this model we further assume that the temperature will not vary over the thickness of the plate  

Thus we may assume that the stresses and displacements caused by warming-up will not vary along the thickness of the plate, and we may assume a plane state of stress. 

---