The hiding could-would be the best way to do it.

The tear -off area's can be plugged with a prop... that, depending on the visibility of it, you would have to build.
Otherwise, you could play with texture and displacement on the tear-of area's.
It is an animation?
Change view angle, during tear -off?
Depends on the script?

Poser 1, 2, 3, 4, 5, 7, P8 and PPro2010, P9 and PP2012, P10 and PP2014 Game Dev
"Do not drive faster then your angel can fly"!