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arXiv 1507.03379cond-mat.mtrl-scimath-phmath.MP
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典型晶粒生长微结构的几何和拓扑性质

Geometric and topological properties of the canonical grain growth microstructure

Jeremy K. Mason, Emanuel A. Lazar, Robert D. MacPherson, David J. Srolovitz

摘要:

许多物理系统可以被建模为沿着边界“胶合”在一起的大量域集合--生物细胞沿着细胞膜相遇,肥皂泡沿着薄膜相遇,国家沿着地缘政治边界相遇,金属晶体沿着晶粒界面相遇。每一类微观结构的结果从一个复杂的相互作用的初始条件和特定的演化动力学。由多晶材料的各向同性晶粒生长产生的统计稳态微结构是典型的,因为它是由简单能量的梯度流产生的胞状微结构的最简单示例,与所有胞边界的总长度或面积成正比。由于多晶材料的许多特性取决于其潜在的微观结构,因此对晶粒生长稳态的更完整理解可以深入了解各种日常材料的物理特性。在本文中,我们报告的几何和拓扑特征,这些典型的二维和三维稳态微观结构,通过大,准确的模拟各向同性晶粒生长。

英文摘要:

Many physical systems can be modeled as large sets of domains "glued" together along boundaries - biological cells meet along cell membranes, soap bubbles meet along thin films, countries meet along geopolitical boundaries, and metallic crystals meet along grain interfaces. Each class of microstructures results from a complex interplay of initial conditions and particular evolutionary dynamics. The statistical steady-state microstructure resulting from isotropic grain growth of a polycrystalline material is canonical in that it is the simplest example of a cellular microstructure resulting from a gradient flow of a simple energy, directly proportional to the total length or area of all cell boundaries. As many properties of polycrystalline materials depend on their underlying microstructure, a more complete understanding of the grain growth steady-state can provide insight into the physics of a broad range of everyday materials. In this paper we report geometric and topological features of these canonical two- and three-dimensional steady-state microstructures obtained through large, accurate simulations of isotropic grain growth.

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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