tySlice for sawing process

[JuhaHo]

I wonder if tySlice or maybe tyFracture would be useful when animating a log or square timber in a sawing machine. I've been playing with these since early 90's but not yet satisfied with the results. I would start playing with very simple case - straight square timber. My goal is to animate curved log, but that's quite challenging. Is there an operator in tyFlow that removes material as the log travel through the blades or chipper?

Any ideas?