A hybrid finite element formulation for polycrystal plasticity with consideration of macrostructural and microstructural linking

Deformation-induced orientation spread in individual bulk grains of an interstitial-free steel

“…In parallel, polycrystal plasticity models have evolved from the classical Sachs [19] and Taylor/Bishop-Hill models [20,21] based primarily on the crystallographic orientation of the grains to increasingly complex models accounting for interactions between clusters of grains [22,23], interactions between a grain and a matrix representing the average of the other grains [24] and finite-element-based models accounting for the detailed interaction between neighbouring grains [25][26][27] as well af FFT-based methods [28]. The different behaviour of grains with initially similar orientations as well as the evolution of intragranular orientation differences during plastic deformation are currently key topics studied.…”

Modeling elasto-plastic behavior of polycrystalline grain structure of steels at mesoscopic level

“…Models, which use stochastic methods such as Voronoi tessellation to accommodate the grain structure, were introduced only recently (for review, see for example (Beaudoin et al, 1995), (Barbe et al, 2001), and (Cailletaud et al, 2003)). …”

Linking plastic deformation to recrystallization in metals using digital microstructures

“…The finite element approach is based on a mixed velocity-pressure formulation with an enhanced (P1+/P1) 4-node tetrahedral element [32]. Classical theory of crystal plasticity [33][34][35][36] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 F o r P e e r R e v i e w O n l y considered, using a slightly modified version of the time integration algorithm developed by Delannay et al [37]. For computational efficiency, one computes rates of lattice rotation and rates of dislocation slip in a decoupled way.…”