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SIF for an edge crack in mode III

Hi everyone,

 

I am working on the propagation of an edge crack in semi-infinite plate under antiplane loading.

I need to estimate the stress intensity factor KIII at the front of the crack but I can't find a theoretical formula for this purpose. For an embedded crack of length l in an infinite plate under shear stress sigma_23 I can use KIII = sigma23*sqrt(pi*l). But I don't know what I must use in the case of an edge crack.

 

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