Modeling a crack in a material.

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nukapprentice
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I was wondering if anyone has ever tried to model/fit a crack on a material surface with a Weierstrass function.
 
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I'm also wondering whether a crack exposed to damage becomes more jagged over time or more smooth? Is there a process that reverses the other one, i.e. from being more jagged to smooth, vice/versa?
 
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