Intrinsic Correlation between Hardness and Elasticity in Polycrystalline Materials and Bulk Metallic Glasses

By Xing-Qiu Chen, H. Niu, Dianzhong Li, Yiyi Li. 2011

1,235 citations recorded by the source corpus.

Though extensively studied, hardness, defined as the resist ance of a material to deformation, still remains a challengi ng issue for a formal theoretical description due to its inherent mechani c l complexity. The widely applied Teter’s empirical corre lation between hardness and shear modulus has been considered to be not alwa ys valid for a large variety of materials. Here, inspired by t he classical work on Pugh’s modulus ratio, we develop a theoret ical model which establishes a robust correlation between h ardness and elasticity for a wide class of materials, including bulk metallic glasses, with results in very good agreement with e xperiment. The simplified form of our model also provides an unambiguous theoretical evidence for Teter’s empirical correlation.

Subfields: Geophysics, Materials Chemistry, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/0cfe50278d6d9d756f0cf2ccf197bbae7e8aab7e

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In Materials Chemistry

In Mechanical Engineering

Citations in the corpus

First-principles calculations to investigate structural, elastic, electronic, thermodynamic, and thermoelectric properties of CaPd3B4O12 (B = Ti, V) perovskite (2022, methodology): “To estimate the material’s hardness directly, the Vickers hardness parameter is frequently used and defined by: Hv = 2(k(2)G)−3 [54] and the also equation employed by Liu et.”