I am modeling through thickness residual stresses as follows:
*Initial Conditions, Type=Stress, Section Points
Element_group, 1, 50,25, 0
Element_group, 2, 50,25, 0
Element_group, 3, 50,25, 0
Element_group, 4, 50,25, 0
.
.
ABAQUS documentation 6.14:
Data lines for TYPE=STRESS, SECTION...