In this study, an efficient finite element model for predicting the te
mperature field, volume fraction of phases and the evolution of intern
al stresses up to the residual stress states during quenching of axisy
mmetrical steel components is developed and implemented. The temperatu
re distribution is determined by considering heat losses to the quench
ing medium as well as latent heat due to phase transformations. Phase
transformations are modelled by discretizing the cooling cuves in a su
ccession of isothermal steps and using the IT-diagrams. For diffusiona
l transformations both Scheil's additivity method and Johnson-Mehl-Avr
ami equation are used, while Koistinen-Marburger equation is employed
for martensitic transformation. Internal stresses are determined by a
small strain elasto-plastic analysis using Prandtl-Reuss constitutive
equations. Considering long cylinders, a generalized plane strain cond
ition is assumed. The computational model is verified by several exper
imental measurements and by comparison with other known numerical resu
lts. Case studies are performed with St50, Ck45 and C60 type of solid
and hollow steel components. The complete data and result sets provide
d for the verification examples establish a basis for benchmark proble
ms in this field.