Table of Contents
Textures and Microstructures
Volume 23 (1995), Issue 1, Pages 43-59
http://dx.doi.org/10.1155/TSM.23.43

Calculation of Effective Elastic Moduli of Textured Materials

1Department of Physical Metallurgy, Technical University Clausthal, Germany
21nstitute of Theoretical Physics B, Technical University Clausthal, Germany

Received 12 September 1994

Copyright © 1995 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.

Abstract

Effective elastic constants of polycrystalline materials were determined with a recently developed method. This method bases on the modelation of the actual material by a cluster of 100 to 500 single crystals. In the present version of the scheme parallelepipeds are used. The ODF was calculated with the series expansion method. The transformation of this ODF into a finite sum of single orientations permits to assign any grain an individual orientation.

Reliable results for the effective elastic moduli of textured materials are reported. They lie always within the bounds of Voigt and Reuss. The very high anisotropic substances, e.g. shape-memory-alloys, show a significant deviation from the Hill values.