Two-Dimensional Motion of Idealized Grain Boundaries

• W. W. Mullins

  Westinghouse Research Laboratories, Pittsburgh, Pennsylvania

抄録

To represent ideal grain boundary motion in two dimensions, a rule of motion of plane curves is considered whereby any given point of a curve moves toward its center of curvature with a speed that is proportional to the curvature. A general theorem is deduced concerning the change of area enclosed by such a curve. Three families of curves are found that obey the curvature rule of motion while undergoing the shape preserving transformations of uniform magnification, translation, and rotation respectively. Pieces of these curves represent the steady shapes of idealized grain boundaries under certain symmetrical conditions.

収録刊行物

• Journal of Applied Physics

  Journal of Applied Physics 27 (8), 900-904, 1956-08-01

  AIP Publishing

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1363951794295866752
• NII論文ID: 30015902933
• NII書誌ID: AA00693547
• DOI: 10.1063/1.1722511
• ISSN: 10897550
• ISSN: 00218979
• ISSN: http://id.crossref.org/issn/00218979
• Web Site: https://pubs.aip.org/aip/jap/article-pdf/27/8/900/18315748/900_1_online.pdf
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