Statistical Analysis of Thermal Shock in Disks (Flat Faces Insulated)
- 15 February 1968
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 39 (3) , 1403-1407
- https://doi.org/10.1063/1.1656369
Abstract
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.This publication has 3 references indexed in Scilit:
- Transverse shock waves in incompressible elastic solidsJournal of the Mechanics and Physics of Solids, 1967
- Application of the Theory of Extreme Values in Fracture ProblemsJournal of the American Statistical Association, 1948
- LI. On thermal stresses in circular cylindersJournal of Computers in Education, 1945