Introducing stress random fields of polycrystalline aggregates into the local approach to fracture

Characterization of random stress fields obtained from polycrystalline aggregate calculations using multi-scale stochastic finite elements

“…The identified stress fields may eventually be re-simulated: new realizations of the stress fields are straightforwardly obtained at a low computational cost by random field simulation techniques such as the spectral approach or the circulant embedding method (Preumont, 1990;Dang et al, 2011a,b). This allow us to apply local approach to fracture analysis (such as that presented in Mathieu et al (2006)) for the assessment of the brittle fracture of metallic materials, as shown in Dang et al (2013).…”