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arXiv 2109.08072cond-mat.mtrl-sci
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三维理想晶粒生长的运动常数

A constant of motion for ideal grain growth in three dimensions

Erdem Eren, Jeremy Kyle Mason

摘要:

大多数金属和陶瓷材料由被晶界分离的晶粒的空间填充集合组成。虽然这种晶粒结构已经被研究了一个多世纪,但在文献中很少有关于其整体性质的严格结果。我们提出了一个新的,严格的三维晶粒结构,涉及到的积分的高斯曲率的晶粒边界的数量和四重结的结果。数值验证的结果是由周期性截断八面体的晶粒结构。

英文摘要:

Most metallic and ceramic materials are comprised of a space-filling collection of crystalline grains separated by grain boundaries. While this grain structure has been studied for more than a century, there few rigorous results regarding its global properties available in the literature. We present a new, rigorous result for three-dimensional grain structures that relates the integral of the Gaussian curvature over the grain boundaries to the numbers of grains and quadruple junctions. The result is numerically verified for a grain structure consisting of periodic truncated octahedra.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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