We investigate the phenomenon of brane induced supersymmetry breakdown on orbifolds in the presence of a Scherk--Schwarz mechanism. General consistency conditions are derived for arbitrary dimensions and the results are illustrated in the specific example of a 5-dimensional theory compactified on S¹/Z₂. This includes a discussion of the Kaluza--Klein spectrum and the possibility of a brane induced supersymmetry restoration.

PACS numbers: 04.50.+h, 11.25.Sq, 11.30.Pb