The coarsening kinetics of two misfitting particles in an anisotropic crystal
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An efficient and quantitative phase-field model for elastically heterogeneous two-phase solids based on a partial rank-one homogenization scheme
2022, International Journal of Solids and StructuresCitation Excerpt :Their mechanical properties are usually controlled by the microstructure formed during solid-state phase transformation. It has been found both experimentally (Ardell and Nicholson, 1966; Miyazaki and Doi, 1989; Marquis and Seidman, 2001; Lund and Voorhees, 2002; Sudbrack et al., 2008) and numerically (Johnson and Cahn, 1984; Johnson et al., 1990; Voorhees et al., 1992; Socrate and Parks, 1993; Abinandanan and Johnson, 1993a; Su and Voorhees, 1996; Jou et al., 1997; Akaiwa et al., 2001; Thornton et al., 2004a,b; Li and Chen, 1998; Vaithyanathan and Chen, 2002; Zhu et al., 2004; Gururajan and Abinandanan, 2007) that the microstructure in an elastically constrained alloy system is significantly different from an unstressed alloy system. Moreover, LSW (Lifshitz–Slyozov–Wagner) type coarsening theories (Ardell, 1972; Morral and Purdy, 1994) for unstressed non-dilute alloys indicate that thermochemical properties and particle–matrix interfacial free energy are the two primary factors controlling the rate of transformation.
Transformation mechanisms and governing orientation relationships through selective dissolution of Ni via liquid metal dealloying from (FeCo)<inf>x</inf>Ni<inf>100−x</inf> precursors
2020, Materials and DesignCitation Excerpt :The typical orientation relationships (ORs) between fcc and bcc crystals, like Bain [27], Kurdjumov-Sachs (KS) [28], and Nishiyama-Wassermann (NW) [29,30], consider the similarities in the two crystal structures and postulate a combination of strains. Furthermore, the diffusional relaxation of elastic strain has a significant role during diffusion-induced recrystallization and precipitation in the solid phase [31–33]. Interestingly, the formation of ligaments covered by a viscous liquid metal through surface diffusion should generate no strain constraint or less constraint than other solid-to-solid transformations.
How evolving multiaxial stress states affect the kinetics of rafting during creep of single crystal Ni-base superalloys
2018, Acta MaterialiaCitation Excerpt :Rafting of the γ′-phase in Ni-based SXs is probably the best known microstructural instability in high temperature materials technology. The micromechanics, thermodynamics and kinetics of rafting have been theoretically e.g. Refs. [5–18] and experimentally e.g. Refs. [5,6,15–40] investigated. It has been shown that the evolution of a raft microstructure during creep depends on the lattice misfit e.g. Refs. [39,40] (which can cause misfit stresses as high as 500 MPa [19]), the crystallographic loading direction during uniaxial testing e.g. Refs. [27,28] and the nature of the multiaxial stress state during multiaxial loading [13,25–32].
Stress induced precipitate microstructure in anisotropic alloys
2011, Materials LettersCitation Excerpt :Hereby, it influences the materials mechanical properties. In order to study the influences of elastic stress on the microstructure transformation, the sharp-interface models [1,2], diffuse-interface models [3–5] and the discrete lattice models [6] have been proposed previously. The diffuse-interface model based on the Cahn–Hilliard equation has been adopted recently as a general method to simulate the phase decomposition, precipitate shape transition and effects of dislocations during the phase transformation and microstructure evolution [3–5,7–9].
Diffusional evolution of precipitates in elastic media using the extended finite element and the level set methods
2011, Journal of Computational PhysicsCitation Excerpt :The different approaches for simulating microstructure evolution can be broadly classified on the basis of how the interface is resolved (sharp vs diffused interface) and how it is represented (Lagrangian vs Eulerian). Previous work on simulating the evolution of two phase microstructures can be classified as: sharp interface methods in Lagrangian framework [2–4,6–11]; diffused (or smooth) interface methods in Eulerian framework [12–18]; sharp interface methods in Eulerian framework [19–22]. The smooth interface approach is suitable for simulating microstructural evolution with large numbers of particles and for capturing topological transitions, such as particle merging, splitting, and vanishing.