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Hardness and elastic properties of Ti(CxN1−x), Zr(CxN1−x) and Hf(CxN1−x)by: Q. Yang
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AbstractHere we report for the first time experimental results of the nanohardness and elastic properties (Young’s modulus, shear modulus, bulk modulus) of well-characterised complete series of bulk Ti, Zr and Hf carbonitrides, Ti(C N ), Ti(C N ) , Zr(C N ) and x 12x x 12x 0.81 x 12x Hf(C N ), as a function of the carbon/ nitrogen ratio measured by continuous nano-indentation test and an ultrasonic technique. A x 12x correlation between elastic constants and porosity of TiC and TiN was obtained and used to correct elastic constants for the zero-porosity state. Recently, band structure calculations for transition metal carbonitrides yielded a maximum of the shear modulus of Ti and Hf carbonitrides at a valence electron concentration (VEC) of ø8.4 and ø8.2, respectively. These results were used to explain the hardness maximum of carbonitrides, which was considered as a success of theoretical material design. For the stoichiometric carbonitrides we indeed found—though much weaker than predicted—the maximum at [C] /([C]1[N])ø0.6–0.8 (VECø8.4–8.2) of the shear modulus, but neither the nanohardness nor the microhardness show a corresponding maximum. Thus the conclusion of a correlation of hardness and shear modulus is inapplicable for this type of hard materials.
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