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Though extensively studied, hardness, defined as the resistance of a materialto deformation, still remains a challenging issue for a formal theoreticaldescription due to its inherent mechanical complexity. The widely appliedTeter's empirical correlation between hardness and shear modulus has beenconsidered to be not always valid for a large variety of materials. Here,inspired by the classical work on Pugh's modulus ratio, we develop atheoretical model which establishes a robust correlation between hardness andelasticity for a wide class of materials, including bulk metallic glasses, withresults in very good agreement with experiment. The simplified form of ourmodel also provides an unambiguous theoretical evidence for Teter's empiricalcorrelation.

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