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As noted in Ref. for the fuse models, when the branching of the cracks or damage within the fracture process zone is not allowed thereby limiting the crack extension to only the crack tips, a local roughness exponent of 0.5 is obtained and there is no anomalous scaling. As soon as branching is allowed in this simplified RBM model, the value of the roughness exponent increases from ζloc =0.5 to ζloc 0.65.
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