A size-dependent tensorial plasticity model for FCC single crystal with irradiation

Mechanical properties for irradiated face-centred cubic nanocrystalline metals

“…Recently, Xiao et al [31] have proposed a tensorial crystal model to consider the spatial-dependent dislocation-defect interaction for irradiated FCC single crystals. Although the dislocation-defect interaction mechanism seems similar, it should be noted that (i) the defect density in GIs of NC is greatly affected by GBs, which is different from the free surface of single crystals; (ii) it would be preferable for dislocations to be emitted from GBs rather than nucleated inside the GIs when the grain size decreases to a few nanometers.…”

“…Thus, the CRSS of the GI should involve the dislocationdefect hardening contribution τ α def,i , the slip resistance to dislocations τ dis,i and the initial lattice resistance τ 0 , i.e. It should be noted that for FCC metals, τ I 0 is always quite small and often neglected in the numerical analysis [31]. In the following, details of the first two terms (τ I,α def,i and τ I dis,i ) of CRSS in equation (2.4) will be presented.…”

“…To reveal the spatial-dependent dislocation-defect interaction with GB effect, a grain size-dependent tensorial plasticity model [31] is considered for τ α def,i , i.e.…”

The coupling effect of size and damage in micro-scale metallic materials

“…The strain gradient theories have also been successfully applied to study some other interesting issues at micro-scales. For instances, finite element method (FEM) combining strain gradient plasticity theories have been implemented to explain the cleavage fracture near the crack tip (Xia and Hutchinson, 1996;Chen and Wang, 2002c;Huang et al, 2014;. Strain gradient theories were also used to analyze void size effect on the stress distribution and void growth in porous solids (Liu et al, 2003;Wen et al, 2005;Monchiet and Bonnet, 2013).…”

“…Strain gradient theories were also used to analyze void size effect on the stress distribution and void growth in porous solids (Liu et al, 2003;Wen et al, 2005;Monchiet and Bonnet, 2013). Furthermore, strain gradient constitutive models were established for crystalline solids in order to reveal the grain size effect on mechanical properties of single-, bi-and poly-crystals (Smyshlyaev and Fleck, 1996;Siddiq et al, 2007;Wu et al, 2012;Xiao et al, 2015;Lyu et al, 2015). Acharya and Beaudoin et al proposed a grain-size dependent hardening law for viscoplastic poly-crystals, in which an intrinsic length scale was incorporated into the constitutive equation via a gradient measure of lattice incompatibility Beaudoin et al, 2000).…”