2007
DOI: 10.1016/j.msea.2006.10.005
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The grain size and porosity dependent elastic moduli and yield strength of nanocrystalline ceramics

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Cited by 32 publications
(17 citation statements)
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“…10 depicts the variation of elastic modulus of MMCs and the total number of small segment with different matrix grain sizes. The influences of microstructure and size of nanocrystalline on its effective elastic properties have been discussed [46][47][48]. According to their conclusions, for the nano/ultrafine-grained solids in this model, the variation of elastic modulus with grain size can be neglected.…”
Section: Resultsmentioning
confidence: 99%
“…10 depicts the variation of elastic modulus of MMCs and the total number of small segment with different matrix grain sizes. The influences of microstructure and size of nanocrystalline on its effective elastic properties have been discussed [46][47][48]. According to their conclusions, for the nano/ultrafine-grained solids in this model, the variation of elastic modulus with grain size can be neglected.…”
Section: Resultsmentioning
confidence: 99%
“…Due to the ease of fabrication, most of micro/nano mechanical resonators are made of nanocrystalline silicon or nanocrystalline diamond (Tao et al 2014). Due to their distinct atomic structure (Gleiter et al 2000;Wang et al 2003;Kim and Bush 1999;Zhou et al 2007;Duan et al 2005;Fitzsimmons et al 1995;Swygenhoven et al 1999;Sanders et al 1997), grain boundaries have lower Young's moduli than the interior of the grains in polycrystalline materials (Sanders et al 1997;Fougere et al 1995;Xing et al 1998;Shen et al 1995;Wang et al 1995;Spriggs 1961;Boccaccini et al 1993). The grain boundary volume fraction could be as high as 50 % for a NcM whose grain average size is 5 nm (Sharma and Ganti 2003).…”
Section: Effective Young's Modulus Of Mechanical Resonators Made Of Ncmsmentioning
confidence: 99%
“…It had been attributed to the increase in the volume fraction of the grain boundary which has a lower Young's modulus due to the increase in the interatomic spacing and the increase in the amount of impurities residing in the grain boundary (Mohr et al 2014;Gleiter et al 2000;Wang et al 2003;Kim and Bush 1999;Zhou et al 2007;Duan et al 2005;Fitzsimmons et al 1995;Swygenhoven et al 1999;Sanders et al 1997). Thus, the atomic structure as well as the Young's modulus of the grain boundary significantly affects the behavior of NcMs in different applications.…”
mentioning
confidence: 99%
“…According to the authors, their model is able to interpret the breakdown of the Hall Petch relation with decreasing grain size and the rate dependence of the deformation behavior. In another mixture based model, Zhou et al [162] investigated the effect of grain size and porosity on the elastic modulus and strength of porous and multi-phase nanocrystalline ceramics. The authors developed a mixtures-based model to describe the mechanical behavior of constituent phases and further applied Budiansky's self-consistent method [163] to determine the effective mechanical properties of the composites.…”
Section: Finite Element Modelingmentioning
confidence: 99%