Sound velocity, shear modulus, and shock melting of beryllium along the Hugoniot

The electronic, mechanical, and thermodynamic properties of europium carbide (EuC2) are investigated using first-principles density functional theory within the generalized gradient approximation. The calculated elastic constants indicate that EuC2 is mechanically stable. The shear modulus, Young’s modulus, Poisson’s ratio, the bulk modulus – shear modulus ratio, shear anisotropy, and elastic anisotropy are also calculated. Finally, we obtain the Vickers hardness, averaged sound velocity, longitudinal sound velocity, transverse sound velocity, Debye temperature, melting point, and thermal conductivity of EuC2.

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Optical, Electronic Properties and Anisotropy in Mechanical Properties of “X” Type Carbon Allotropes

Materials ◽

10.3390/ma13092079 ◽

2020 ◽

Vol 13 (9) ◽

pp. 2079 ◽

Cited By ~ 5

Author(s):

Jiao Cheng ◽

Qidong Zhang

Keyword(s):

Shear Modulus ◽

Sound Velocity ◽

Young’S Modulus ◽

Debye Temperature ◽

Poisson’S Ratio ◽

Carbon Materials ◽

Elastic Anisotropy ◽

Young's Modulus ◽

Poisson's Ratio ◽

Cubic Symmetry

Based on first-principle calculations, the mechanical anisotropy and the electronic and optical properties of seven kinds of carbon materials are investigated in this work. These seven materials have similar structures: they all have X-type structures, with carbon atoms or carbon clusters at the center and stacking towards the space. A calculation of anisotropy shows that the order of elastic anisotropy in terms of the shear modulus, Young’s modulus and Poisson’s ratio of these seven carbon materials with similar structure is diamond < supercubane < T carbon < Y carbon < TY carbon < cubane-diyne < cubane-yne. As these seven carbon materials exhibit cubic symmetry, Young’s modulus has the same anisotropy in some major planes, so the order of elastic anisotropy in the Young’s modulus of these seven main planes is (111) plane < (001) plane = (010) plane = (100) plane < (011) plane = (110) plane = (101) plane. It is also due to the fact that their crystal structure has cubic symmetry that the elastic anisotropy in the shear modulus and the Poisson’s ratio of these seven carbon materials on the seven major planes are the same. Among the three propagation directions of [100], [110], and [111], the [110] propagation direction’s anisotropic ratio of the sound velocity of TY carbon is the largest, while the anisotropic ratio of the sound velocity of cubane-diyne on the [100] propagation direction is the smallest. In addition, not surprisingly, the diamond has the largest Debye temperature, while the TY carbon has the smallest Debye temperature. Finally, TY carbon, T carbon and cubane-diyne are also potential semiconductor materials for photoelectric applications owing to their higher or similar absorption coefficients to GaAs in the visible region.

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Measurement of Physical Properties of Lubricants Under High Pressure by Brillouin Scattering in a Diamond Anvil Cell

Journal of Tribology ◽

10.1115/1.2831284 ◽

1995 ◽

Vol 117 (3) ◽

pp. 519-523 ◽

Cited By ~ 8

Author(s):

Y. Nakamura ◽

I. Fujishiro ◽

K. Nishibe ◽

H. Kawakami

Keyword(s):

High Pressure ◽

Shear Modulus ◽

Sound Velocity ◽

Diamond Anvil Cell ◽

Brillouin Scattering ◽

Transverse Mode ◽

Thermodynamic Relation ◽

Slope Change ◽

Scattering Spectra ◽

Diamond Anvil

Brillouin scattering spectra and their transverse mode were measured for paraffinic and naphthenic synthetic lubricants, employing a high-pressure diamond anvil cell (DAC). Sound velocity, density, refractive index, and shear modulus under high pressure were obtained. The density obtained from the thermodynamic relation was compared with that from Lorentz-Lorenz‘s formula. The densities were also compared with Dowson‘s density-pressure equation of lubricants. The sound velocity in the transverse mode and shear modulus were obtained for 5P4E up to 2.7 GPa. A slope change in the pressure-sound velocity diagram was confirmed at about 0.3 GPa, which may be associated with crystallizaton of 5P4E, observed through a diamond optical window in the DAC.

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Reply to “Comment on ‘Molybdenum sound velocity and shear modulus softening under shock compression’ ”

Physical Review B ◽

10.1103/physrevb.92.026102 ◽

2015 ◽

Vol 92 (2) ◽

Cited By ~ 4

Author(s):

Jeffrey H. Nguyen ◽

Minta C. Akin ◽

Ricky Chau ◽

Dayne E. Fratanduono ◽

W. Patrick Ambrose ◽

...

Keyword(s):

Shear Modulus ◽

Sound Velocity ◽

Shock Compression

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Comment on “Molybdenum sound velocity and shear modulus softening under shock compression”

Physical Review B ◽

10.1103/physrevb.92.026101 ◽

2015 ◽

Vol 92 (2) ◽

Cited By ~ 8

Author(s):

D. Errandonea ◽

R. Boehler ◽

M. Ross

Keyword(s):

Shear Modulus ◽

Sound Velocity ◽

Shock Compression

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Molybdenum sound velocity and shear modulus softening under shock compression

Physical Review B ◽

10.1103/physrevb.89.174109 ◽

2014 ◽

Vol 89 (17) ◽

Cited By ~ 27

Author(s):

Jeffrey H. Nguyen ◽

Minta C. Akin ◽

Ricky Chau ◽

Dayne E. Fratanduono ◽

W. Patrick Ambrose ◽

...

Keyword(s):

Shear Modulus ◽

Sound Velocity ◽

Shock Compression

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Sound velocity and shock melting of low porosity aluminum

Acta Physica Sinica ◽

10.7498/aps.60.046201 ◽

2011 ◽

Vol 60 (4) ◽

pp. 046201

Author(s):

Song Ping ◽

Wang Qing-Song ◽

Dai Cheng-Da ◽

Cai Ling-Cang ◽

Zhang Yi ◽

...

Keyword(s):

Sound Velocity ◽

Shock Melting ◽

Low Porosity

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Anisotropies in Elasticity, Sound Velocity, and Minimum Thermal Conductivity of Low Borides VxBy Compounds

Metals ◽

10.3390/met11040577 ◽

2021 ◽

Vol 11 (4) ◽

pp. 577

Author(s):

Jing Yu ◽

Yongmei Zhang ◽

Yuhong Zhao ◽

Yue Ma

Keyword(s):

Thermal Conductivity ◽

Shear Modulus ◽

Bulk Modulus ◽

Sound Velocity ◽

Young’S Modulus ◽

Elastic Anisotropy ◽

Young's Modulus ◽

Three Dimensional ◽

Young’S Moduli ◽

Crystallographic Planes

Anisotropies in the elasticity, sound velocity, and minimum thermal conductivity of low borides VB, V5B6, V3B4, and V2B3 are discussed using the first-principles calculations. The various elastic anisotropic indexes (AU, Acomp, and Ashear), three-dimensional (3D) surface contours, and their planar projections among different crystallographic planes of bulk modulus, shear modulus, and Young’s modulus are used to characterize elastic anisotropy. The bulk, shear, and Young’s moduli all show relatively strong degrees of anisotropy. With increased B content, the degree of anisotropy of the bulk modulus increases while those of the shear modulus and Young’s modulus decrease. The anisotropies of the sound velocity in the different planes show obvious differences. Meanwhile, the minimum thermal conductivity shows little dependence on crystallographic direction.

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