Posted by Precise Simulation on
URL: http://forum.featool.com/How-to-determine-if-two-geometry-objects-intersect-tp619p621.html

It is in general more or less as costly to check for intersections as to actually perform them, at least with a moderate degree of accuracy, so there is therefore no stand-alone intersection check functionality. You can of course completely exclude intersecting objects by using bounding boxes (but a negative does not necesarily mean they actually do intersect).

In your case you might be better served with a dedicated/professional CAD tool which in most cases would include cut plane tooling (you can import/export CAD geometries from FEATool in several formats).