Acta Stereologica



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Andrzej Garbacz, Brian Ralph & Krzysztof Jan Kurzydłowski

On the correlation between distribution of CSL boundaries and grain geometry

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This paper addresses the possible correlation between grain size distribution and the geometrical properties of grain boundaries. A series of functions are used to describe the grain size and the shape distribution, and considerations given to the population of grain edges and corners which result. In turn this is then correlated with the fraction of special and general (random) grain boundaries.

The concepts introduced here are then tested by looking at some microstructural and textural data from a grain growth experiment on high purity aluminum. In parallel with this a model of the distribution function of the grain boundary misorientation parameter is employed. The  outcome of this series of investigations is the ability shown to establish a correlation between parameters describing the distribution of size and shape of the grains, and other parameters describing the fraction of grain edges which join boundaries having random and special character.

Keywords : geometry and physical properties of grain boundaries, polycrystal, stereological description

To cite this article

Andrzej Garbacz, Brian Ralph & Krzysztof Jan Kurzydłowski, «On the correlation between distribution of CSL boundaries and grain geometry», Acta Stereologica [En ligne], Volume 14 (1995), Number 1 - Stermat '94 - Sep. 1995, 61-67 URL :

About: Andrzej Garbacz

Institute of Technology and Organization of Building Production, Warsaw, University of Technology, 00-637 Warsaw, Al. Ludowej 16

About: Brian Ralph

Department of Materials Technology, Brunel University of West London, Uxbridge, Middlesex UB8 3PH, UK

About: Krzysztof Jan Kurzydłowski

Faculty of Materials Science and Engineering, Warsaw University of Technology, 02-524 Warsaw, Narbutta 85