Integral Solution of the Interface Profile of Grain Boundary Grooving by Surface Diffusion
Author(s) -
Caifang Wang,
Hui Xing,
Fengping Yao,
Changle Chen,
Jianyuan Wang,
Fan Fei
Publication year - 2012
Publication title -
advances in materials science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.356
H-Index - 42
eISSN - 1687-8442
pISSN - 1687-8434
DOI - 10.1155/2012/520967
Subject(s) - materials science , grain boundary , crystallite , diffusion , grain boundary diffusion coefficient , boundary (topology) , series (stratigraphy) , surface (topology) , fourier transform , mathematical analysis , composite material , thermodynamics , geometry , microstructure , metallurgy , mathematics , physics , paleontology , biology
In polycrystalline thin films, formation of grain boundary grooving is investigated widely due to its effects on their properties. Infinite series solution of the interface of grain-boundary grooving by surface diffusion has been obtained. In this paper, with Fourier transform, a novel integral solution of the profile of grain boundary grooving is derived. Numerical examples are taken to test the performance of the integral solution. According to the numerical examples, we find that the novel solution is in accordance with the infinite series solution
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