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Focus Papers

3D physical modeling of anisotropic grain growth at high temperature in local strong magnetic force field

Article: 024201 | Received 03 Dec 2007, Accepted 09 Jan 2008, Published online: 20 May 2008

Figures & data

Figure 1 Rendered view of the shape evolution during the growth of a ferromagnetic precipitate in a magnetic field. The physical conditions are as follows: roffset=1 μm, Initial shape is a sphere with 1015 vertices and radius r0=1 μm, μ0M=1 T, Bext=10 T, and is vertical in the images, μ C0 dt=10−3 (with oversampling down to 5×10− 5 for calculation of curvature effect). Images are shown every 33 steps of the calculations starting from the initial spherical shape. (a) γ=0.1 J m− 2 and (b) γ=0.01 J m− 2.

Figure 2 The shape of a growing precipitate under a magnetic field can always be fitted as an ellipsoid when starting from a spherical shape, as shown from the linear plot of z2 versus x2+y2. Here, the physical initial conditions are as follows: roffset=1 μm, B=6 T, μ0M=1 T, χat=5×10− 32, T=1200 K, γ=0.01 J m− 2, μ· C0 dt=10− 3 (with oversampling down to 5×10− 5 for calculations of curvature effect) 100×20 steps. Initial shape is a sphere with 1015 vertices and radius r0=1 μm.

Figure 3 Ellipsoid shape evolution during precipitate growth under strong external magnetic field. The initial physical parameters are as follows: roffset=1 μm, μ0M=1 T, χat=5×10− 32, T=1200 K, γ=0.01 J m− 2, μ·C0 dt=10− 3 (with oversampling down to 5×10− 5 for calculations of the curvature effect). 100 steps in calculation. Initial shape is a sphere with 1015 vertices and radius r0=1 μm, B=0-2-4-6-8-10-12-14-16 T (from lower to upper curves). (a) c/a (ellipsoid long axis/short axis) versus time and (b) c versus time.

Figure 4 Evolution of precipitate growth under strong external magnetic field. The initial physical parameters are as follows: roffset=1 or 0.9 μm, μ0M=1 T, χat=5×10− 32, T=1200 K, γ=0.1 or 0.01 J m− 2, μ·C0 dt=10− 3 (with oversampling down to 5×10− 5 for calculations of curvature effect) 100 steps in calculation. Initial shape is a sphere with 1015 vertices and radius r0=1 μmB=10 T. (a) c/a (ellipsoid long axis/short axis) versus time and (b) c versus time.

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