2010
DOI: 10.4028/www.scientific.net/amr.150-151.40
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First-Principles Calculation of Elastic Properties of TiB<sub>2</sub> and ZrB<sub>2</sub>

Abstract: Based on Density Functional Theory (DFT), using first-principles pseudopotential plane wave method, elastic properties and electronic structure of TiB2 and ZrB2 were calculated. The elastic constants of these compounds were calculated by Voigt-Reuss-Hill method. The results show that the elastic modulus of TiB2 and ZrB2 are 594 and 520 GPa, and the shear modulus are 268 and 229 GPa, respectively. Pugh empirical criterion and Poisson's ratio show that the two compounds are very brittle, and the brittleness of T… Show more

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Cited by 7 publications
(3 citation statements)
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“…While ZrB 2 -based ceramics are rather brittle, as is typical for most engineering ceramics, the prevalent covalent bonding in hexagonal ZrB 2 makes it very stiff with Young's modulus of pure ZrB 2 reported to be around ~500 GPa, shear modulus to be ~232 GPa, and bulk modulus of 240 GPa [8,9]. Such stiff and hard materials have low Poisson's ratio and ZrB 2 has also very low Poisson's ratio of 0.14 at room temperature [10]. At high temperature, the ZrB 2 ceramics soften and elastic moduli are decreased in comparison with their respective room temperature values.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…While ZrB 2 -based ceramics are rather brittle, as is typical for most engineering ceramics, the prevalent covalent bonding in hexagonal ZrB 2 makes it very stiff with Young's modulus of pure ZrB 2 reported to be around ~500 GPa, shear modulus to be ~232 GPa, and bulk modulus of 240 GPa [8,9]. Such stiff and hard materials have low Poisson's ratio and ZrB 2 has also very low Poisson's ratio of 0.14 at room temperature [10]. At high temperature, the ZrB 2 ceramics soften and elastic moduli are decreased in comparison with their respective room temperature values.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, the uncertainties in the Poisson's ratio of pure ZrB 2 and pure SiC as well as of for ZrB 2 [9,10,14,17,18,35] and 0.188±0.031 for α-SiC [17, 25-27, 29, 31, 33, 34]. For the case of SiC, the relative standard deviation of Poisson's ratio is equal to 16% because of the significant differences in reported values of Young's and shear moduli.…”
Section: Introductionmentioning
confidence: 99%
“…The results have suggested that the bulk modulus of all the multicomponent borides is inferior to that of NbB 2 , TaB 2 , and MoB 2 . Kavak et al predict the hardness of (HfTiWZr) 1 B 2 from first-principle calculations to be 30.99 GPa, which is less than the theoretical/experimental (36/35.5 GPa) hardness value of TiB 2 . , In the same vein, molecular dynamics simulations of (Ti 0.2 Zr 0.2 Hf 0.2 Nb 0.2 Ta 0.2 ) B 2 using deep learning potentials have resulted in values akin to the experiments and density functional theory (DFT) calculations. In a recent study, we find multicomponent silicides to exhibit a similar trend of reduction in bulk modulus from unitary to quinary disilicides .…”
Section: Resultsmentioning
confidence: 99%