Abstract
The interaction between edge dislocations and γ′ precipitates as in nickel-based super-alloys is studied by coupling a phase field model and a 2D continuum dislocation dynamic model. Various stresses, which serve as communicator between dislocations and precipitates, are calculated by an eigenstrain method for both the γ/γ′ misfit and the dislocations. Our simulations show how edge dislocations tend to move to and pile up at specific γ/γ′ interfaces. The growth of γ′ is inhibited at the interface where dislocations are piling up, due to the reduction of elastic energy. The potential of our coupled model for simultaneous microstructure patterning and mechanical property prediction is discussed.
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References
R. C. Reed, The Superalloys: Fundamentals and Applications. Cambridge University Press, 2006.
M. F. Horstemeyer and D. J. Bammann, “Historical review of internal state variable theory for inelasticity,” International Journal of Plasticity, vol. 26, pp. 1310–1334, 2010.
J. Chaboche, “A review of some plasticity and viscoplasticity constitutive theories,” International Journal of Plasticity, vol. 24, pp. 1642–1693, 2008.
A. Prakash, J. Guenole, J. Wang, and J. Müller, “Atom probe informed simulations of dislocationprecipitate interactions reveal the importance of local interface curvature,” Acta Materialia, vol. 92, pp. 33–45, 2015.
S. Gao, M. Fivel, A. Ma, and A. Hartmaier, “Influence of misfit stresses on dislocation glide in single crystal superalloys: A three-dimensional discrete dislocation dynamics study,” Journal of the Mechanics and Physics of Solids, vol. 76, pp. 276–290, 2015.
A. Gaubert, Y. Le Bouar, and A. Finel, “Coupling phase field and viscoplasticity to study rafting in ni-based superalloys,” Philosophical Magazine, vol. 90, pp. 375–404, 2010.
N. Zhou, “Simulation study of directional coarsening (rafting) of γ′ in single crystal Ni-Al,” 2008.
S. Sandfeld, M. Monavari, and M. Zaiser, “From systems of discrete dislocations to a continuous field description: stresses and averaging aspects,” Modelling and Simulation in Materials Science and Engineering, vol. 21, pp. 1–22, 2013.
M. Zaiser and S. Sandfeld, “Scaling properties of dislocation simulations in the similitude regime,” Modelling and Simulation in Materials Science and Engineering, vol. 22, pp. 1–20, 2014.
I. Groma, F. F. Csikor, and M. Zaiser, “Spatial correlations and higher-order gradient terms in a continuum description of dislocation dynamics,” Acta Materialia, vol. 51, pp. 1271–1281, 2003.
T. Hochrainer, S. Sandfeld, M. Zaiser, and P. Gumbsch, “Continuum dislocation dynamics: towards a physical theory of crystal plasticity,” Journal of the Mechanics and Physics of Solids, vol. 63, pp. 167–168, 2014.
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© 2016 TMS (The Minerals, Metals & Materials Society)
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Wu, R., Sandfeld, S. (2016). Some Steps towards Modelling of Dislocation Assisted Rafting: A Coupled 2D Phase Field — Continuum Dislocation Dynamics Approach. In: TMS 2016 145th Annual Meeting & Exhibition. Springer, Cham. https://doi.org/10.1007/978-3-319-48254-5_77
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DOI: https://doi.org/10.1007/978-3-319-48254-5_77
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-48624-6
Online ISBN: 978-3-319-48254-5
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