Thermoelastic properties of tungsten at simultaneous high pressure and temperature
Abstract
In this work, the compressional (P) and shear wave velocities (S) and unit cell volumes (densities) of polycrystalline tungsten (W) have been measured simultaneously up to 10.5 GPa and 1073 K using ultrasonic interferometry in conjunction with x-ray diffraction and x-radiography techniques. Thermoelastic properties of W were derived using different methods. We obtained the isothermal bulk modulus KT0 = 310.3(1.5) GPa, its pressure derivative K'T0 = 4.4(3), its temperature derivative at constant pressure and at constant volume , the thermal expansion α(0, T) = 1.02(27) × 10–5 + 7.39(3.2) × 10–9 T (K–1), as well as the pressure derivative of thermal expansion based on the high-temperature Birch–Murnaghan equation of state (EOS), the Vinet EOS, and thermal pressure approach. Finite strain analysis allowed us to derive the elastic properties and their pressure/temperature derivatives independent of the choice of pressure scale. A least-squares fitting yielded KS0 = 314.5(2.5) GPa, KS0' = 4.45(9), (∂KS/∂T)P = – 0.0076(6) GPa K–1, G0 = 162.4(9) GPa, G0' = 1.8(1), (∂G/∂T)P = – 0.0175(9) GPa K–1, and . Fitting current data to the Mie–Grüneisen–Debye EOS with derived yielded . The thermoelastic parameters obtained from various approaches are consistent with one another and comparable with previous results within uncertainties. Our current study provides a complete and self-consistent dataset for the thermoelastic properties of tungsten at high P–T conditions, which is important to improve the theoretical modeling of these materials under dynamic conditions.
- Authors:
-
- Stony Brook Univ., NY (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
- OSTI Identifier:
- 1661010
- Alternate Identifier(s):
- OSTI ID: 1658982
- Grant/Contract Number:
- NA0003886; FG02-94ER14466; AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Applied Physics
- Additional Journal Information:
- Journal Volume: 128; Journal Issue: 10; Journal ID: ISSN 0021-8979
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- ENGLISH
- Subject:
- 36 MATERIALS SCIENCE; Elasticity; Bulk modulus; Interferometry; Birch-Murnaghan equation of state; Transition metals; Shear waves; X-ray diffraction; Thermal effects
Citation Formats
Qi, Xintong, Cai, Nao, Wang, Siheng, and Li, Baosheng. Thermoelastic properties of tungsten at simultaneous high pressure and temperature. United States: N. p., 2020.
Web. doi:10.1063/5.0022536.
Qi, Xintong, Cai, Nao, Wang, Siheng, & Li, Baosheng. Thermoelastic properties of tungsten at simultaneous high pressure and temperature. United States. https://doi.org/10.1063/5.0022536
Qi, Xintong, Cai, Nao, Wang, Siheng, and Li, Baosheng. Wed .
"Thermoelastic properties of tungsten at simultaneous high pressure and temperature". United States. https://doi.org/10.1063/5.0022536. https://www.osti.gov/servlets/purl/1661010.
@article{osti_1661010,
title = {Thermoelastic properties of tungsten at simultaneous high pressure and temperature},
author = {Qi, Xintong and Cai, Nao and Wang, Siheng and Li, Baosheng},
abstractNote = {In this work, the compressional (P) and shear wave velocities (S) and unit cell volumes (densities) of polycrystalline tungsten (W) have been measured simultaneously up to 10.5 GPa and 1073 K using ultrasonic interferometry in conjunction with x-ray diffraction and x-radiography techniques. Thermoelastic properties of W were derived using different methods. We obtained the isothermal bulk modulus KT0 = 310.3(1.5) GPa, its pressure derivative K'T0 = 4.4(3), its temperature derivative at constant pressure ( ∂ K T / ∂ T ) P = – 0.0138 ( 1 ) GPa K – 1 and at constant volume ( ∂ K T / ∂ T ) V = – 0.0050 GPa K – 1, the thermal expansion α(0, T) = 1.02(27) × 10–5 + 7.39(3.2) × 10–9 T (K–1), as well as the pressure derivative of thermal expansion ( ∂ α / ∂ P ) T = – 1.44 ( 1 ) × 10 – 7 K – 1 GP a – 1 based on the high-temperature Birch–Murnaghan equation of state (EOS), the Vinet EOS, and thermal pressure approach. Finite strain analysis allowed us to derive the elastic properties and their pressure/temperature derivatives independent of the choice of pressure scale. A least-squares fitting yielded KS0 = 314.5(2.5) GPa, KS0' = 4.45(9), (∂KS/∂T)P = – 0.0076(6) GPa K–1, G0 = 162.4(9) GPa, G0' = 1.8(1), (∂G/∂T)P = – 0.0175(9) GPa K–1, and α 298 K = 1.23 × 10 – 5 K – 1. Fitting current data to the Mie–Grüneisen–Debye EOS with derived θ 0 = 383.4 K yielded γ 0 = 1.81 ( 6 ) and q = 0.3. The thermoelastic parameters obtained from various approaches are consistent with one another and comparable with previous results within uncertainties. Our current study provides a complete and self-consistent dataset for the thermoelastic properties of tungsten at high P–T conditions, which is important to improve the theoretical modeling of these materials under dynamic conditions.},
doi = {10.1063/5.0022536},
journal = {Journal of Applied Physics},
number = 10,
volume = 128,
place = {United States},
year = {Wed Sep 09 00:00:00 EDT 2020},
month = {Wed Sep 09 00:00:00 EDT 2020}
}
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