This is a reference request for a theory of bursting balloons:
Let's say I have a balloon and this balloon has an impurity along a small strip. Let's assume for example the balloon had a hole there at some point and I tried to fix it with some tape. So the structural properties of the balloon are very different in that particular area. So now I start blowing up my balloon until it explodes.
My question is: Does there exist a theory that based on some assumptions on the overall material properties of the balloon will allow me to model
a) where it will burst and
b) how, i.e. how will the hole extend?
Ab initio answers on some of your own ideas how to model this are of course also welcome!
I understand that the question is not a well-defined homework problem and there may not be an optimal answer, but I would be grateful to some pointers to equations and theoretical methods to study the bursting mechanism.