Abstract
As a consequence of microstructural heterogeneities, fluctuations in the mechanical properties of materials are observed in experiments. This requires a probabilistic approach to relate the microstructure to the overall materials properties, and to predict scale effects in the fluctuations of properties. In this presentation, the problem of the strength of materials, is specifically addressed, and various models of random structures developed for fracture statistics are introduced. In fact, any fracture criterion is sensitive to microstructural heterogeneities, such as flaws with low strength, or defects inducing a local stress concentration. There is a large effect of small scale heterogeneities for fracture phenomena. The approach combines the selection of appropriate fracture criteria and random structure models.
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© 1994 Springer Science+Business Media Dordrecht
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Jeulin, D. (1994). Morphological Random Media for Micromechanics. In: Breysse, D. (eds) Probabilities and Materials. NATO ASI Series, vol 269. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1142-3_21
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DOI: https://doi.org/10.1007/978-94-011-1142-3_21
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