Textural equilibrium melt geometries around tetrakaidecahedral grains.

Textural equilibrium melt geometries around tetrakaidecahedral grains.
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DOI:
10.1098/rspa.2017.0639
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发表时间:
2018-04
期刊:
Proceedings. Mathematical, physical, and engineering sciences
影响因子:
--
通讯作者:
Rudge JF
Rudge JF
中科院分区:
其他
文献类型:
--
作者:
Rudge JF

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在织构平衡中,部分熔融的材料使晶界和晶粒-熔体界面中结合的总表面能最小化。在这里,这种纹理的平衡几何形状的数值计算提出了一个充满空间的镶嵌的晶粒与tetrakaidecahedral(截断八面体)晶胞。两个参数决定了几何形状的性质:孔隙率和二面角。这两个参数的不同组合会出现各种不同的熔融拓扑结构,并且已经确定了不同拓扑结构之间的边界。对于小的二面角,一旦孔隙率超过11%,就会发生晶界润湿。一个详尽的帐户给出的几何形状的主要属性:它们的能量,压力,平均曲率,邻接和面积的横截面和面孔。它们的有效渗透率已被计算,并证明在低孔隙度的二次变化与孔隙度在高孔隙度的三次变化之间的过渡。
In textural equilibrium, partially molten materials minimize the total surface energy bound up in grain boundaries and grain–melt interfaces. Here, numerical calculations of such textural equilibrium geometries are presented for a space-filling tessellation of grains with a tetrakaidecahedral (truncated octahedral) unit cell. Two parameters determine the nature of the geometries: the porosity and the dihedral angle. A variety of distinct melt topologies occur for different combinations of these two parameters, and the boundaries between different topologies have been determined. For small dihedral angles, wetting of grain boundaries occurs once the porosity has exceeded 11%. An exhaustive account is given of the main properties of the geometries: their energy, pressure, mean curvature, contiguity and areas on cross sections and faces. Their effective permeabilities have been calculated, and demonstrate a transition between a quadratic variation with porosity at low porosities to a cubic variation at high porosities.
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