We simulate the rapid extension of polymeric filaments between parallel pla
tes with special attention to the role of surface tension in the symmetry b
reaking azimuthal instability that may occur near the end plates. The insta
bility is viewed as a precursor to the breakup into separate fibrils and th
e eventual elastic decohesion of the filament from the plate, it is demonst
rated that high Deborah numbers are needed to initiate the instability and
that surface tension provides a wave number selection. Moreover, the surfac
e tension has a stabilizing effect on the end plate instability. (C) 2001 T
he Society of Rheology.