Table of Contents
Textures and Microstructures
Volume 26–27

The Variation of Strain Ratio at the Tensile Test Described by a Hyperbolic Function

1Aleksander Krupkowski Institute of Metallurgy and Materials Science of Polish Academy of Sciences, ul. Reymonta 25, Kraków 30-059, Poland
2Institute of Mathematics of Polish Academy of Sciences, ul. Sw. Tomasza 30, Kraków 31-027, Poland

Received 5 November 1995

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The function describing the variation of plastic anisotropy r at the uniaxial deformation ε is a compendium of knowledge on polycrystalline metals subdued to plastic working. In real single crystals r(ε) function characterizes the degree of imperfection of the crystallographic orientation (“texture of a single crystal”). It has been shown that the best fitting function of the r-ε relationship for single crystals as well as for polycrystalline metals is that based on a hyperbolic function.