Abstract
Application of fractal geometry to the problems of fracture mechanics is discussed. Fractal generalization of the energy balance equation to the case of non-square root singularities of the stress field is proposed. Analysis of the fracture at the sharp angular notch in a plate on the basis of the generalized energy balance equation is performed. Good corroboration between the suggested approach and experiments is observed.
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References
Kashtanov, A.V. and Petrov, Y.V. (2001). Fractal Generalization of the Energy Balance Equation in a Linear Fracture Mechanics, SPbSU, St.-Petersburg, (In Russian).
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Kashtanov, A., Petrov, Y. Fractal models in fracture mechanics. International Journal of Fracture 128, 271–276 (2004). https://doi.org/10.1023/B:FRAC.0000040990.68602.e2
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DOI: https://doi.org/10.1023/B:FRAC.0000040990.68602.e2