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The ”fractal assumption” in cracks: Bilateral calculation methods. (English) Zbl 0772.73065

Summary: The paper considers the fractal nature of cracks by assuming the fractal as the fixed point of a given transformation. This concept enables the study of a sequence of classical-geometry crack problems whose limit gives the solution of the fractal-geometry crack problem. The method is illustrated by a numerical example. It was shown that the fractal nature of the cracks influences the value of the stress intensity factors.

MSC:

74R99 Fracture and damage
28A80 Fractals
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