Vinayak Vipradas
Ansys Employee

Hi Paul, 
It is not possible to define 2d axisymmetric bodies as rigid in Mechanical. You can specify a very high Young's Modulus or carry out the analysis in Workbench LS-Dyna, where it is possible to define 2d axisymmetric bodies as rigid. 

For more information about Deep Drawing anlaysis, please refer to the following Ansys Help Document: 
Deep Drawing (ansys.com) 

Regards, 
Vinayak Vipradas