Abstract
The phase field dislocation model has been used to compute and simulate interactions between basal α-type dislocations and coherent β1 precipitate plates in a Mg-3wt.%Nd alloy that is strengthened exclusively by the β1 plates. The computed increments of the critical resolved shear stress (ΔCRSS) for samples aged for 10 hours at 523 K agree well with those calculated from the existing strengthening equation for plate-shaped particles. The phase field simulations further indicate that the ΔCRSS value increases with an increase in plate aspect ratio and number density, and that the change of ΔCRSS is not sensitive to the variation of β1 plate diameter distribution when the average diameter of β1 plates is fixed. When the volume fraction of β1 plates is constant, the ΔCRSS value for a random spatial distribution of the β1 plates is approximately 0.78 times of that for a regular spatial distribution.
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References
J.F. Nie, “Precipitation and Hardening in Magnesium Alloys” Metall. Mater. Trans. A, 43A (2012) 3891–3939.
J.F. Nie, B.C. Muddle, “Characterisation of Strengthening Precipitate Phases in a Mg-Y-Nd Alloy”, Acta Mater. 48 (2000) 1691–1703.
U.F. Kocks, “A Statistical Theory of Flow Stress and Work Hardening”, Phil. Mag. 13 (1965) 541–566.
M.F. Ashby, “Results and Consequences of a Recalculation of the Frank-Read and the Orowan Stress”, Acta Metall. 14 (1966) 678–680.
D.J. Bacon, U.F. Kocks, R.O. Scattergood, “The Effect of Dislocation Self-Interaction on the Orowan Stress”, Phil. Mag. 28 (1973) 1241–1263.
D. Hull, D.J. Bacon, Introduction to Dislocations. 5th Ed. Oxford: Elsevier; 2011.
C. Shen, Y. Wang, “Phase Field Model of Dislocation Networks”, Acta Mater. 51 (2003) 2595–2610.
Z. Pei, L.F. Zhu, et. al., “Ab-initial and Atomistic Study of Generalized Stacking Fault Energies in Mg and Mg-Y Alloys” New J. Phys. 15 (2013) 043020–043039.
A.G. Khachaturyan, Theory of Structural Transformations in Solids, John Wiley & Sons, New York, 1983.
C. Shen, Y. Wang, “Effect of Elastic Interaction on Nucleation: I. Calculation of the Strain Energy of Nucleus Formation in an Elastically Anisotropic Crystal of Arbitrary Microstructure”, Acta Mater. 59 (2011) 3484–3497.
N. Zhou, C. Shen, et. al., “Modelling Displacive-Diffusional Coupled Dislocation Shearing of y’ Phase in Ni-base Superalloys”, Acta Mater. 55 (2011) 5369–5381.
S.M. Allen, J.W. Cahn, “A Microscopic Theory for Anti-phase Boundary Motion and its Application to Antiphase Domain Coarsening”, Acta Mater. 27 (1979) 1085.
A.W. Zhu, E.A. Starke, “Strenthening Effect of Unshearable Particles of Finite Size: a Computer Experimental Study”, Acta Mater. 47 (1999) 3263–3269.
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Liu, H., Wang, Y., Nie, JF. (2015). Phase Field Simulation of Orowan Strengthening by Coherent Precipitate Plates in a Mg-Nd Alloy. In: Poole, W., et al. Proceedings of the 3rd World Congress on Integrated Computational Materials Engineering (ICME 2015). Springer, Cham. https://doi.org/10.1007/978-3-319-48170-8_8
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DOI: https://doi.org/10.1007/978-3-319-48170-8_8
Publisher Name: Springer, Cham
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