Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: II—applications

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Ductile failure modeling (2016, methodology): “As mentioned above, the models developed by PonteCastaneda and coworkers find their origin in extensions of Hashin-Shtrikman’s well-known homogenization theory of random elastic composites to nonlinear behaviors, developed independently in the early 1990’s by Ponte-Castaneda [54], Willis [55] and Mi”
Influence of the Lode parameter and the stress triaxiality on the failure of elasto-plastic porous materials (2012, methodology): “…and Ponte Castañeda (2009a), Danas and Ponte Castañeda (2009b), making use of the more accurate ‘‘second-order’’ linear comparison homogenization method of Ponte Castañeda (2002a), Ponte Castañeda (2002b), and building on earlier works by Danas et al. (2008a), Danas et al. (2008b) and Danas (2008).”