Fig. 4: Shear-induced deformations at packing fraction ϕ = 0.81 with 50% soft particles.
From: A regime beyond the Hall–Petch and inverse-Hall–Petch regimes in ultrafine-grained solids
a The initial state without a strain. Black arrows denote the shear along the x direction. b–f The structures at γ = 0.02, 0.05, 0.1, 0.2, and 0.3, respectively. Crystalline particles are coloured in the same way as Fig. 2d. g–k Mean squared nonaffine displacements D2 corresponding to (b–f), respectively. Particles strongly deviate from linear affine strain field are colour in yellow. The black (1), blue (2), and red (3) ellipses in (a) show crystalline grain that rotates (l), divides (m), and rebuilds (n) under shear, respectively. l The [01] lattice direction of the crystalline grain in the black ellipses 1 in (a–f) rotates from 30∘ to 9∘. This grain retains during the shear and impedes the spreading of STZ as shown by the white ellipse in (j). m A crystalline grain in the blue ellipses 2 in (a–f) disintegrates into two grains. n A crystalline grain becomes amorphous and then recrystallises into a new one in the red ellipses 3 in (a–f). o The Pearson correlation coefficients C between D2 and crystalline order ∣ψ6∣ (squares) and between D2 and disorderness 1 − ∣ψ6∣ (circles).
