Statistical Analysis of Thermal Shock in Disks (Flat Faces Insulated)

摘要

A statistical analysis of failure of brittle materials subjected to a thermal shock by cooling is made. A thin circular disk with the flat faces insulated is used in the analysis. Numerical results are given for the tangential stress in the disk as a function of time and radial coordinate. The probability of fracture is defined relative to the volume under stress. Numerical results are obtained for the probability of fracture as a function of time. It is found that this probability is maximum for θ=0.0400 (θ is dimensionless time). From this analysis it is shown that the thermal shock resistance is a function of the geometry of the solid as well as other mechanical properties.