For modeling the drilling process with FEM, you will need to use an ERODING contact, such as *CONTACT_ERODING_SINGLE_SURFACE and also use an appropriate material model (*MAT) that includes failure. For validating your approach, you can start with *MAT_024 in which material failure and subsequent element erosion is controlled by the effective strain at failure FAIL. More complex failure criteria can be also specified with *MAT_ADD_EROSION, *MAT_ADD_DAMAGE DIEM or GISSMO, or *MAT_ADD_GENERALIZED_DAMAGE. Please look at the corresponding sections in the LS-DYNA manuals.
I hope this helps.
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