Ultimate strength of crystals, nanoparticles and nano-ceramics having diamond-like structure

Dora Zakarian; Valeriy Kartuzov; Aik Khachatrian; Dora Zakarian; Valeriy Kartuzov; Aik Khachatrian

doi:10.3934/matersci.2016.4.1696

AIMS Materials Science

2016, Volume 3, Issue 4: 1696-1703. doi: 10.3934/matersci.2016.4.1696

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Ultimate strength of crystals, nanoparticles and nano-ceramics having diamond-like structure

Frantzevich Institute for Problems of Materials Science NAS Ukraine

Received: 29 August 2016 Accepted: 21 November 2016 Published: 25 January 2016

A mathematical model for calculating the interplanar interaction energy of diamond-like structure ceramics at free surface of stock material in pseudopotential method has been developed. We have considered uniaxial [111] deformation of materials and obtained the “inverse Hall–Petch’s law” for strength. It is shown that nanoceramics has higher strength than the nanoparticles included in its composition.
- interaction energy of the atomic planes; theoretical strength; pseudopotential; Hall–Petch coefficient
Citation: Dora Zakarian, Valeriy Kartuzov, Aik Khachatrian. Ultimate strength of crystals, nanoparticles and nano-ceramics having diamond-like structure[J]. AIMS Materials Science, 2016, 3(4): 1696-1703. doi: 10.3934/matersci.2016.4.1696

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Abstract

A mathematical model for calculating the interplanar interaction energy of diamond-like structure ceramics at free surface of stock material in pseudopotential method has been developed. We have considered uniaxial [111] deformation of materials and obtained the “inverse Hall–Petch’s law” for strength. It is shown that nanoceramics has higher strength than the nanoparticles included in its composition.

References

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