On the negative Poisson’s ratio of an orthorhombic alloy

Rovati, Marco

doi:10.1016/s1359-6462(02)00386-x

Cited by 38 publications

(19 citation statements)

References 3 publications

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“…In certain geometry, e.g for loading along x-axis in a coordinate system [1 1 0], [11 0], [0 0 1] even negative Poisson ratio ν 12 = ν 21 = −0.62 is obtained. Negative Poisson ratio has also been reported for 2H martensite phase in the Cu-Al-Ni alloy [9] indicating that the large anisotropy is inherited (though in lower extent) by the product martensite phase.…”

Section: Elastic Constantsmentioning

confidence: 80%

Acoustic characterization of the elastic properties of austenite phase and martensitic transformations in CuAlNi shape memory alloy

Černoch

Landa

Novák

et al. 2004

Journal of Alloys and Compounds

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Section: Elastic Constantsmentioning

confidence: 80%

Acoustic characterization of the elastic properties of austenite phase and martensitic transformations in CuAlNi shape memory alloy

Černoch

Landa

Novák

et al. 2004

Journal of Alloys and Compounds

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“…It may be arbitrarily large, positive or negative, as has been shown by Ting and Chen. 91 Also, for materials with orthorhombic symmetry, Rovati 92 has discussed the orientation dependence of Poisson's ratio in cases of plane of elastic mirror symmetry. Figure 5 shows calculated Poisson's ratio of selected M 3 Cs.…”

Section: F Poisson's Ratio and Its Anisotropymentioning

confidence: 99%

A first-principles study of cementite (Fe3C) and its alloyed counterparts: Elastic constants, elastic anisotropies, and isotropic elastic moduli

Ghosh

2015

AIP Advances

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A comprehensive computational study of elastic properties of cementite (Fe3C) and its alloyed counterparts (M3C (M = Al, Co, Cr, Cu, Fe, Hf, Mn, Mo, Nb, Ni, Si, Ta, Ti, V, W, Zr, Cr2FeC and CrFe2C) having the crystal structure of Fe3C is carried out employing electronic density-functional theory (DFT), all-electron PAW pseudopotentials and the generalized gradient approximation for the exchange-correlation energy (GGA). Specifically, as a part of our systematic study of cohesive properties of solids and in the spirit of materials genome, following properties are calculated: (i) single-crystal elastic constants, Cij, of above M3Cs; (ii) anisotropies of bulk, Young’s and shear moduli, and Poisson’s ratio based on calculated Cijs, demonstrating their extreme anisotropies; (iii) isotropic (polycrystalline) elastic moduli (bulk, shear, Young’s moduli and Poisson’s ratio) of M3Cs by homogenization of calculated Cijs; and (iv) acoustic Debye temperature, θD, of M3Cs based on calculated Cijs. We provide a critical appraisal of available data of polycrystalline elastic properties of alloyed cementite. Calculated single crystal properties may be incorporated in anisotropic constitutive models to develop and test microstructure-processing-property-performance links in multi-phase materials where cementite is a constituent phase.

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“…Among structural networks are molecular networks 3 , hierarchical structures 4 , composites 5 and hinged structures 22,23 . Some materials exhibit auxetic properties as they are stretched or compressed in a proper direction [6][7][8][9][24][25][26][27][28][29][30] . For example, Baughman et al 7 reported that 69% of all cubic materials exhibit a negative Poisson's ratio along the [1 10]-direction when they are subjected to stretching along the [110]-direction.…”

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confidence: 99%

Negative Poisson’s ratios in metal nanoplates

et al. 2014

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The Poisson's ratio is a fundamental measure of the elastic-deformation behaviour of materials. Although negative Poisson's ratios are theoretically possible, they were believed to be rare in nature. In particular, while some studies have focused on finding or producing materials with a negative Poisson's ratio in bulk form, there has been no such study for nanoscale materials. Here we provide numerical and theoretical evidence that negative Poisson's ratios are found in several nanoscale metal plates under finite strains. Furthermore, under the same conditions of crystal orientation and loading direction, materials with a positive Poisson's ratio in bulk form can display a negative Poisson's ratio when the material's thickness approaches the nanometer scale. We show that this behaviour originates from a unique surface effect that induces a finite compressive stress inside the nanoplates, and from a phase transformation that causes the Poisson's ratio to depend strongly on the amount of stretch.

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On the negative Poisson’s ratio of an orthorhombic alloy

Cited by 38 publications

References 3 publications

Acoustic characterization of the elastic properties of austenite phase and martensitic transformations in CuAlNi shape memory alloy

Acoustic characterization of the elastic properties of austenite phase and martensitic transformations in CuAlNi shape memory alloy

A first-principles study of cementite (Fe3C) and its alloyed counterparts: Elastic constants, elastic anisotropies, and isotropic elastic moduli

Negative Poisson’s ratios in metal nanoplates

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