Structure–property optimization of ultrafine-grained dual-phase steels using a microstructure-based strain hardening model

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Micromechanical behavior and thermal stability of a dual-phase α+α’ titanium alloy produced by additive manufacturing (2019, background): “where M is the Taylor factor, α is a constant, μ the shear modulus, b the magnitude of the Burgers vector, ρ the dislocation density and σ0 the lattice strength [45].”
On Strain Hardening Mechanism in Gradient Nanostructures (2021, background): “The last term s GB ¼ k HP / d in ﬂ ow stress arises from a Hall-Petch type strengthening due to the re ﬁ ned grains (Capolungo et al., 2007; Carvalho Resende et al., 2013; Delince et al., 2007), where k HP is a constant Hall-Petch slope, and d denotes grain size.”
An Overview of Dual-Phase Steels: Advances in Microstructure-Oriented Processing and Micromechanically Guided Design (2015, background): “(125) presented simulation studies capable of predicting larger sets of DP flow curves for various phase fractions and carbon contents.”