Research article Topical Sections

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

  • 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.

    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

    Related Papers:

  • 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.


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    [1] Li WX, Wang T (1999) Elasticity, stability, and ideal strength of b-SiC in plane-wave-based ab initio calculations. Phys Rev B 59: 3993–4001. doi: 10.1103/PhysRevB.59.3993
    [2] Rondy D, Cohen ML (2001) Ideal strength of diamond, Si and Ge. Phys Rev B 64: 212103. doi: 10.1103/PhysRevB.64.212103
    [3] Zakarian D, Kartuzov V (2006) The calculation of the theoretical strength of the diamond-like materials on the basis of the interaction energy of the atomic planes. Rep NAS Ukraine 94–99.
    [4] Zakarian D (2005) The calculation of the theoretical strength of the diamond, with the full tension and compression. Math Mod Comp Exp Mater 7: 32–34.
    [5] Zakarian D, Kartuzov V (2008) Simulation of influence of the scale factor on the theoretical strength of nanoparticles with a diamond-like structure. Rep NAS Ukraine 101–108.
    [6] Zakarian D (2014) Nanoparticles with a diamond-like structure and the inverse Hall–Petch law. Rep NAS Ukraine 82–86
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  • © 2016 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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