Coupling phase field and viscoplasticity to study rafting in Ni-based superalloys

Abstract

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An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

“…These models, while providing certain connection between microstructure and crystal plasticity, still lack a dynamic coupling between the two. On the other hand, phase-field models incorporating either continuum plasticity (Gaubert et al, 2010) or dislocation density fields (Zhou et al, 2010) have also been developed to study rafting in Ni-based superalloys. These models are mainly rooted in the PF framework and significant advances are required in order to generalize the approach and incorporate a wider range of existing constitutive theories.…”

“…At the mesoscale, this understanding has been implemented into physics-based constitutive theories (Arsenlis and Parks, 2002;Arsenlis et al, 2004;Cheong and Busso, 2004;Ma et al, 2006;Gao and Huang, 2003;Beyerlein and Tomé, 2008) and implemented into homogenized deformation models such as self-consistent schemes (Lebensohn and Tomé, 1993;Niezgoda et al, 2014) or full-field simulations such as finite element based crystal plasticity (FE-CP) (Kalidindi et al, 1992;Beaudoin et al, 1995;Roters et al, 2010) or fast Fourier transform (FFT) based crystal plasticity (FFT-CP) models (Lebensohn, 2001;Lebensohn et al, 2012;Eisenlohr et al, 2013). On the other hand, the microstructural evolution in crystals, such as grain growth (Chen and Yang, 1994;Kazaryan et al, 2002;Moelans et al, 2008b), static recrystallization (Moelans et al, 2013), rafting in superalloy (Zhou et al, 2010;Gaubert et al, 2010) and many other phenomena (Chen, 2002;Wang and Li, 2010) have been well studied using phase-field (PF) simulations. The nonboundary tracking field description of microstructures and the incorporation of thermodynamics-based free energy formulation have made PF a very powerful and robust tool in simulating and predicting the microstructural evolution often in a quantitative manner (Chen, 2002;Boettinger et al, 2002;Shen et al, 2004;Moelans et al, 2008b;Steinbach, 2009;Wang and Li, 2010).…”

Viscoplastic Phase Field Simulation of Microstructural Evolutions under Complex Loadings in Ni-Base Superalloys

“…The phase field model requires four types of numerical inputs: numerical inputs for the homogeneous free energy density, for elasticity, for interface energy and diffusion coefficients. The identification of these quantities is detailed in [4].…”

“…However, most of them do not include the plastic activity in the channels of matrix although it has been pointed out experimentally that it has a strong influence on microstructural evolution [2]. It is why phase field models have been coupled with plasticity recently [3,4].…”

Phase-Field Modeling of Equilibrium Precipitate Shapes Under the Influence of Coherency Stresses

“…Apart from the determination of equilibrium shapes, the diffuse-interface methods have also been used for the study of growth and coarsening of multi-particle systems, [27,[29][30][31][32][33][34] instabilities, [35] and rafting. [36][37][38][39][40][41] In all the above studies, the central focus of investigation has been the study of equilibrium shapes of precipitates where the anisotropy exists only in the elastic energy. The coupled influence of both the interfacial energy and elastic anisotropies on the equilibrium morphologies is performed using the boundary integral method by Leo et al [42] In a study by Greenwood et al, [43] the authors have developed a phase-field model of microstructural evolution, where they study the morphological evolution of solid-state dendrites as function of anisotropies in both surface as well as elastic energy.…”