Abstract
Heterogeneities are the source of the apparent erraticism of fracture surfaces. They also cause the scatter of macroscopic properties like strength or fracture energy. Lastly, they play a great role in size-effect or in localization. The purpose of this paper is to investigate at what scale can various models account for the presence of heterogeneities and the different possibilities (implicit or explicit) of their description. The different existing models are classified regarding these criteria and their merits are compared. The paper focusses on the identification of parameters, since the real predictive power of the models is very dependent on the efficiency and objectivity of identification. In the last part, alternative approaches, seeking universality and/or fractal properties are reviewed.
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Breysse, D. (1994). Failure and Probabilities at Various Scales. In: Breysse, D. (eds) Probabilities and Materials. NATO ASI Series, vol 269. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1142-3_5
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DOI: https://doi.org/10.1007/978-94-011-1142-3_5
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