General compliance transformation relation and applications for anisotropic cubic metals

Zhang, Jianmin; Zhang, Yan; Xu, Ke; Ji, Vincent

doi:10.1016/j.matlet.2007.08.038

Cited by 20 publications

(13 citation statements)

References 12 publications

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“…The extent to which the surfaces change shape is indicative of anisotropy. An existing approach for computing Young's modulus and Poisson's ratio surfaces was presented by Zhang et al [104,105]. Their technique, however, is limited to cubic systems.…”

Section: Elastic Anisotropymentioning

confidence: 99%

“…Their technique, however, is limited to cubic systems. In the present study, we extend the Zhang et al [104,105] methodology to compute elastic anisotropy of hexagonal and tetragonal space group symmetries. For the La-Mg phases of interest here, we compute contours of the Young's modulus and Poisson's ratio as a function of orientation with respect to the crystal lattice.…”

Section: Elastic Anisotropymentioning

confidence: 99%

“…For the La-Mg phases of interest here, we compute contours of the Young's modulus and Poisson's ratio as a function of orientation with respect to the crystal lattice. This requires calculation of the fourth-order elastic compliance tensor, S ijkl , which is determined via inversion of the 0 K second-order elasticity tensor [104,105], C ij .…”

Section: Elastic Anisotropymentioning

confidence: 99%

“…Following Zhang et al [104,105], the Young's modulus, E(h k l), and average Poisson ratio, (h k l), along a direction normal to the lattice plane system described with Miller indices (h k l) are given as …”

Section: Elastic Anisotropymentioning

confidence: 99%

See 3 more Smart Citations

Thermodynamic and mechanical properties of lanthanum–magnesium phases from density functional theory

Wróbel

Hector

Wolf

et al. 2012

Journal of Alloys and Compounds

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Section: Elastic Anisotropymentioning

confidence: 99%

Section: Elastic Anisotropymentioning

confidence: 99%

Section: Elastic Anisotropymentioning

confidence: 99%

Section: Elastic Anisotropymentioning

confidence: 99%

See 2 more Smart Citations

Thermodynamic and mechanical properties of lanthanum–magnesium phases from density functional theory

Wróbel

Hector

Wolf

et al. 2012

Journal of Alloys and Compounds

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“…Again, the modulus of elasticity or Young's modulus 'Y' for cubic crystal is given by the relation [27] : 2 2 2 11 11 12 44 2 2 2 2 …”

mentioning

confidence: 99%

X-Ray Analysis of Cadmium Oxide Nanostructured Films Synthesized with Different Precursor Molarities by Silar Method

Sarma¹,

Chakrabortty²,

Sarma³

2017

Asian J. Chem.

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INTRODUCTIONNanostructured materials have drawn attentions to the researchers due to the unique physical and chemical properties of nanomaterials, which are different from those of either the bulk materials or single atoms [1]. The reduction of the size of materials causes a deviation of their physical and chemical properties from the bulk and such resultant materials (nanoparticles) are known to possess potential applications and novel properties [2]. Among the different metal oxide films, CdO is an important n-type semiconductor with a cubic structure, which belongs to the II-VI group, with a direct band gap of 2.5 eV and indirect band gap 1.98 eV [3] Nanostructured cadmium oxide thin films have been synthesized onto suitably cleaned glass substrates by SILAR (successive ionic layer adsorption and reaction) method. X-ray diffraction study confirms the formation of nanocrystalline cubic phase of cadmium oxide in the films. Lattice constant is determined using Nelson Riley plots. Using X-ray broadening, crystallite sizes, lattice strain, stress and energy density were studied by using Williamson-Hall method and modified Williamson-Hall method. From literature review, it is seen that a number of researchers have applied these two methods for structural characterization of thin films of different nanocrystals, but till now modified Williamson-Hall method has not been used for CdO nanocrystals. Hence, we have used these methods for structural characterization of deposited CdO thin films. The ultra-high resolution transmission electron microscopic (UHRTEM) study shows that the shape of the particles is nearly spherical and the average particle size agrees well with the result obtained from X-ray diffraction study. Selected area electron diffraction patterns have also supported the formation of cubic phase of cadmium oxide.

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The significance of structural, optical, and biological properties of NiO nanoparticles: effect of calcination temperature

Mohaideen

Fareed²,

Natarajan³

2022

Appl. Phys. A

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General compliance transformation relation and applications for anisotropic cubic metals

Cited by 20 publications

References 12 publications

Thermodynamic and mechanical properties of lanthanum–magnesium phases from density functional theory

Thermodynamic and mechanical properties of lanthanum–magnesium phases from density functional theory

X-Ray Analysis of Cadmium Oxide Nanostructured Films Synthesized with Different Precursor Molarities by Silar Method

The significance of structural, optical, and biological properties of NiO nanoparticles: effect of calcination temperature

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