Thermoelastic properties of tungsten at simultaneous high pressure and temperature

Journal Article · Wed Sep 09 00:00:00 EDT 2020 · Journal of Applied Physics

DOI:https://doi.org/10.1063/5.0022536· OSTI ID:1661010

Qi, Xintong  ^[1]; Cai, Nao  ^[1]; Wang, Siheng  ^[1]; Li, Baosheng ^[1]

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1. Stony Brook Univ., NY (United States)

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 K_T0 = 310.3(1.5) GPa, its pressure derivative K'_T0 = 4.4(3), its temperature derivative at constant pressure ${\left(\mathrm{\partial }{K}_T/\mathrm{\partial }T\right)}_P=–0.0138\left(1\right)\mathrm{GPa}{\mathrm{K}}^{–1}$ and at constant volume ${\left(\mathrm{\partial }{K}_T/\mathrm{\partial }T\right)}_V=–0.0050\mathrm{GPa}{\mathrm{K}}^{–1}$, 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 ${(\mathrm{\partial }\alpha /\mathrm{\partial }P)}_T=–1.44\left(1\right)\times {10}^{–7}{\mathrm{K}}^{–1}\mathrm{GP}{\mathrm{a}}^{–1}$ 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 K_S0 = 314.5(2.5) GPa, K_S0' = 4.45(9), (∂K_S/∂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 ${\alpha }_{298K}=1.23\times {10}^{–5}{\mathrm{K}}^{–1}$. Fitting current data to the Mie–Grüneisen–Debye EOS with derived ${\theta }_0=383.4\mathrm{K}$ yielded ${\gamma }_0=1.81\left(6\right)\mathrm{and}q=0.3$. 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.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
• Grant/Contract Number: NA0003886; FG02-94ER14466; AC02-06CH11357
• OSTI ID: 1661010
• Alternate ID(s): OSTI ID: 1658982
• Journal Information: Journal of Applied Physics, Vol. 128, Issue 10; ISSN 0021-8979
• Publisher: American Institute of Physics (AIP)
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

36 MATERIALS SCIENCE
Elasticity
Bulk modulus
Interferometry
Birch-Murnaghan equation of state
Transition metals
Shear waves
X-ray diffraction
Thermal effects