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Einfluß der Kristallisation auf denE-Modul linearer Polykristalle

The effect of crystallization on theE-modul of linear polycrystals

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Zeitschrift für Physik B Condensed Matter

Abstract

A “linear polycrystal” represents the one-dimensional model of a polycrystalline wire with bamboo-structure. It is formed by crystallization of a thread of a one-component melt within a capillary tube. In the paper is assumed, that the nuclei of crystallization are independently and randomly distributed along the thread, and that their crystallographic orientations are equidistributed in all directions. Furthermore it is assumed, that all nuclei are preformed and that they (and therefore their crystals) have a cubic crystalstructure. Four differently defined processes of crystallization, forming four different linear polycrystals, are considered. TheE- andG-moduls of these four linear polycrystals are calculated only from the knowledge about their conditions of crystallization and the elastic constants of cubic single crystal. We found: 1) The moduls of the linear polycrystals have the same value, independently whether their growth has been started at the same instant or successively. 2) If the growth-rate for all crystals has a distribution (anisotropic cubic growth) or has a constant value (isotropic growth), theE-moduls (and also theG-moduls) of their linear polycrystals vary only by about 1%.

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Authors and Affiliations

  1. Physikalisches Institut, Universität Düsseldorf, Universitätsstraße 1 Gebäude 25.22, D-4000, Düsseldorf, Bundesrepublik Deutschland

    G. E. W. Schulze

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  1. G. E. W. Schulze
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Schulze, G.E.W. Einfluß der Kristallisation auf denE-Modul linearer Polykristalle. Z Physik B 37, 143–149 (1980). https://doi.org/10.1007/BF01365370

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  • DOI: https://doi.org/10.1007/BF01365370

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