2011/02/20 by Xing-Qiu Chen, Haiyang Niu, Dianzhong Li +1 · 2,613 citations
Physics and Astronomy · #cond-mat.mtrl-sci
paper · pdf · doi:10.1016/j.intermet.2011.03.026
published in Intermetallics 19(9), 1275-1281 (Elsevier BV) · 10 pages, 4 figures and 3 tables
arxiv created 2011/02/20 · arxiv updated 2011/06/15 · crossref created 2011/06/19 · crossref issued 2011/09/01 · crossref published 2011/09/01 · crossref published-print 2011/09/01 · crossref deposited 2019/06/12 · crossref indexed 2026/08/08
Though extensively studied, hardness, defined as the resistance of a material to deformation, still remains a challenging issue for a formal theoretical description due to its inherent mechanical complexity. The widely applied Teter's empirical correlation between hardness and shear modulus has been considered to be not always valid for a large variety of materials. Here, inspired by the classical work on Pugh's modulus ratio, we develop a theoretical model which establishes a robust correlation between hardness and elasticity for a wide class of materials, including bulk metallic glasses, with results in very good agreement with experiment. The simplified form of our model also provides an unambiguous theoretical evidence for Teter's empirical correlation.