The Elastic Anisotropy of Crystals
1967; American Institute of Physics; Volume: 38; Issue: 5 Linguagem: Inglês
10.1063/1.1709819
ISSN1520-8850
Autores Tópico(s)Material Properties and Failure Mechanisms
ResumoEssentially, the elastic properties of all the known crystals are anisotropic. This paper presents a convenient method to describe the degree of the elastic anisotropy in a given cubic crystal and then discusses its practical values. On the basis of the well-known Voigt and Reuss schemes to average the single-crystal elastic constants for polycrystalline behavior, the degree of elastic anisotropy has been defined as A* = [3(A−1)2]/[3(A−1)2+25A], where A is the usual anisotropy factor given by A = 2c44/(c11−c12). It is shown that the present A* has the folowing properties of practical importance: (a) A* is zero for the crystals of the elastic isotropy, i.e., A = 1. (b) For an anisotropic crystal, A* is a single-valued measure of the elastic anisotropy regardless of whether A < 1 or A > 1. (c) A* gives a relative magnitude of the actual elastic anisotropy possessed by a crystal.
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