To study accurately the effects of thermal shock on castable refractor
ies, it is necessary to model the fracture profess zone. The fictitiou
s crack model, which is often used for the analysis of cementitious ma
terials, is a suitable way to include the fracture process zone in the
rmal shock analysis. The analysis reinforces the importance of the the
rmal shock resistance parameter, R'''', which has the units of length
and is very similar to the characteristic length, l(ch), used as a siz
e scale in studies of the fracture of cementitious materials. Whether
a cementitious bar behaves in a brittle or ductile fashion depends on
the size of the bar relative to its characteristic length. Therefore,
the behavior of refractories after they have been quenched is dependen
t on their size relative to R''''. It is also shown that the critical
temperature to cause strength degradation by thermal shock is dependen
t on the relative size of the bar.