Table of Contents
Textures and Microstructures
Volume 28 (1996), Issue 1-2, Pages 17-33

Effect of the Grain Shape on the Elastic Constants of Polycrystalline Materials

1lnstitute of Theoretical Physics B, Technical University Clausthal, Germany
2Department of Physical Metallurgy, Technical University Clausthal, Germany

Received 20 September 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.


We examine the influence of the grain shape on the effective elastic moduli of polycrystalline materials. For that purpose the real material is simulated by a cluster of Wigner-Seitz cells. For clarity each aggregate consists of grains with only one type of shape. Therefore we can classify each cluster by the coordination number of its grains. To determine the elastic moduli a homogeneous deformation is subjected to the surface of the cluster. The solution of this boundary value problem yields the average stress and strain governing inside the material whose interconnection by Hooke's law leads to the sought-for effective constants.

The most important result is that with increasing coordination number the elastic moduli decrease.