The evolution of stresses and strains in a zirconia-containing refractory t
ube subjected to a hot shock on the outer surface and convective cooling at
the inner surface is analysed with the method of finite elements. To accou
nt for the temperature-induced phase transformation in the zirconia as well
as the overall thermal expansion, a coefficient of total dilatation is int
roduced. The parameters that control the time-dependent stress and strain r
esponses are identified by performing finite element calculations that span
the range of variables relevant to steel making. The effects of tube thick
ness, hot shock duration, initial temperature, temperature dependence of el
astic modulus, and transformation amplitude on stress and strain distributi
ons are discussed, and heating and process strategies to eliminate surface
cracking are suggested. (C) 2000 Kluwer Academic Publishers.