Homogenization Method for Strength and Inelastic Behavior of Nanocrystalline Materials

Fatigue of polycrystalline copper with different grain sizes and texture

“…The fatigue material constants for transgranular cracking may not be applicable to fatigue life prediction of a material made of the identical material constituents displaying intergranular cracking. When the grain size becomes very small, the grain boundary will play an important role in both deformation and fatigue failure (Capolungo et al, 2005). Whether or not the same material constants can be used for the ultra fine grained or nanocrystalline state of the material is subject to further investigations.…”

An enhanced affine formulation and the corresponding numerical algorithms for the mean-field homogenization of elasto-viscoplastic composites

“…The more elaborated models rely on the solution of the linear elastic EshelbyÕs problem (Eshelby, 1957) which takes into account the shape of ellipsoidal inclusions. Additionally, especially when dealing with nanocomposites, the size of the inclusions has also to be considered (Capolungo et al, 2005). Among the models based on the EshelbyÕs solution are the self-consistent scheme which is well adapted for polycrystals and finally the Mori-Tanaka (M-T) scheme which gives good predictions for composite materials.…”

Structural model of mechanical twinning and its application for modeling of the severe plastic deformation of copper rods in Taylor impact tests

“…(1) has a standard form used in various models of annihilation kinetics (Malygin, 1999;Baik 2003;Kocks and Mecking,2003;Capolungo et al, 2005;Capolungo et al, 2007;Lloyd et al 2014).…”