How to cut a surface in ANSYS workbench?

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This is more complicated than it sounds. I'd like to analyse a fracture in a surface body so I need to create a no thickness or infinitesimally small cut/slice if it is possible.
Afterwards, I'm planing to analyse stress concentration factor in model environment.
 
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There are a couple of ways you could approach this, the most obvious being to model a cut/crack which is "small" with respect to the overall model but not "infinitely" small. Crack analysis in ANSYS is a pretty well-defined field, there are lots of papers written about it. Have you done any online searches?

http://www.ewp.rpi.edu/hartford/~ernesto/SPR/Chin-FinalReport.pdf