Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions.
Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions.
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通过基本和自然边界条件限制多尺度材料的有效热导率。
DOI：
10.1103/physrevb.54.278
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
J. Schulte
中科院分区：
文献类型：
--
作者：
M. Ostoja;J. Schulte
我们通过本质边界条件和自然边界条件证明了随机多尺度微结构有效性质的边界。所提出的方法涉及中等大小的晶格，而不是修改的边界区，从而允许更快的计算比周期性边界条件的方法。在随机两相晶格的情况下，标度律已被发现用于广泛的对比度。在具有带梯度界面的圆形夹杂物的盘状夹杂物复合材料的情况下，与具有完美界面的复合材料的有效电导率相比，梯度界面的存在显著地改变了有效电导率。S0163-1829 ~96！01122-8#
We demonstrate the bounding of the effective properties of random multiscale microstructures by means of essential and natural boundary conditions. The proposed method involves moderate sized lattices, not modified in the boundary zone, thereby allowing much faster calculations than the method of periodic boundary conditions. In case of a random two-phase lattice, scaling laws have been found for a wide range of contrasts. In the case of a disk-inclusion composite having circular inclusions with graded interphases, the presence of a graded interphase dramatically changes the effective conductivity compared to that of a composite with perfect interfaces.@S0163-1829 ~96!01122-8#