Elastic Constants of Polycrystals

✍ Scribed by R. Zeller; P. H. Dederichs

• Publisher: John Wiley and Sons
• Year: 1973
• Tongue: English
• Weight: 583 KB
• Volume: 55
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/pssb.2220550241

✦ Synopsis

Abstract

The elastic constants of polycrystals and similar disordered materials are calculated. Exact formal solutions for the effective tensors of the elastic constants and of the compliances are given. Analytical approximations are derived by an expansion in powers of the anisotropy. Using the t‐matrixmethod of scattering theory better approximations are obtained for highly anisotropic materials. Especially two new approximations are given, representing upper and lower bounds for the effective constants.