2018/09/20 by Emmanuel Roubin, Roubin, Emmanuel, Jean‐Baptiste Colliat +2
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fatigue and fracture mechanics #Materials Science (cond-mat.mtrl-sci) #Rock Mechanics and Modeling #Structural Response to Dynamic Loads #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.1809.07591
11 pages, 6 figures
arxiv created 2018/09/20 · openalex publication_date 2018/09/20 · arxiv updated 2018/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A theoretical scaling law for the size effect of the strength of brittle materials is presented. To some extend, it can be seen as an extension of the well known Weibull law. For that a correlated Random Fields is used to model the heterogeneities of the material. Thanks to recent results on the geometry of excursion sets, one can analytically compute the whole probability distribution function for the strength of a structure of a given size. Then, using this PDF, the structural strength associated to any failure probability can be derived.