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A simple caloric model of the equation of state is proposed to describe thermodynamic properties of solid materials with phase transitions with the minimum number of parameters as initial data. Thermodynamic characteristics are calculated in the wide range of densities and pressures. The equation of state of the solid phase was modified by introducing configurational entropy, which made it possible to describe a liquid medium by the same functional dependence, but with its initial parameters. This allowed us not only to construct the equation of state for the liquid, but also to determine the dependence of the melting point on pressure as the boundary between the phases with the corresponding state. It is shown that the melting process is practically not noticeable on the shock adiabat in the pressure - volume plane; however, sharp adiabatic breaks are observed in the temperature - pressure plane. The calculated position of the melting curve agrees with the experimental data found; although this does not fully justify the conclusion about the accuracy of the calculation of the liquid phase adiabat, but fully confirms the qualitative picture.
PAPER REVISED: 2018-12-03
PAPER ACCEPTED: 2018-12-13
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THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 2, PAGES [S519 - S524]
  1. Fortov, V. E., Intense Shock Waves and Extreme States of Matter, Uspekhi Fiz. Nauk, 50 (2007), 4, pp. 333-347
  2. Fortov, V. E., et al., Wide-Range Multi-Phase Equations of State for Metals, Nucl. Instruments Methods Phys. Res. Sect. A Accel. Spectrometers, Detect. Assoc. Equip., 415 (1998), 3, pp. 604-608
  3. Khishchenko, K.V., et al., Multiphase Equation of State for Carbon over Wide Range of Temperatures and Pressures, Int. J. Thermophys., 26 (2005), 2, pp. 479-491
  4. Sedmak, A., et al., Heat Input Effect of Friction Stir Welding on Aluminium Alloy AA 6061-T6 Welded Joint, Thermal Science, 20 (2016), 2, pp. 637-641
  5. Eramah, A., et al., Influence of Friction Stir Welding Parameters on Properties of 2024 T3 Aluminium Alloy Joints, Thermal Science, 18 (2014), 1, pp. 21-28
  6. Kraus, E. I., Shabalin, I. I., The Tool for High-Velocity Interaction and Damage of Solids, Math. Mon-tisnigri, 39 (2017), pp. 18-29
  7. Buzyurkin, A. E., et al., Determination of Parameters of the Johnson-Cook Model for the Description of Deformation and Fracture of Titanium Alloys, J. Appl. Mech. Tech. Phys., 56 (2015), 2, pp. 330-336
  8. Radchenko, P. A., et al., Numerical Modeling of Interaction of the Aircraft Engine with Concrete Protective Structures, J. Phys. Conf. Ser., 946 (2018), 1, 012050
  9. Milošević, N., Application of the Laser Pulse Method of measuring thermal Diffusivity to thin Alumina and Silicon Samples in a Wide Temperature Range, Thermal Science, 14 (2010), 2, pp. 417-423
  10. Buzyurkin, A. E., et al., Explosive Compaction of WC+Co Mixture by Axisymmetric Scheme, J. Phys. Conf. Ser., 653 (2015), 1, 012036
  11. Urlin, V. D., Melting at Ultra High Pressures in a Shock Wave, Sov. Phys. JETP, 22 (1966), 2, p. 341-346
  12. Kraus, E. I., Shabalin, I. I., A Few-Parameter Equation of State of the Condensed Matter, J. Phys. Conf. Ser., 774 (2016), 1, 012009
  13. Fomin, V. M., et al., An Equation of State for Condensed Matter Behind Intense Shockwaves, Mater. Phys. Mech., 7 (2004), 1, pp. 23-28
  14. Kraus, E. I., et al., Calculation of Shear Modulus Behind Shock Wave, Bull. South Ural State Univ. Ser. Math. Model. Program. Comput. Softw., 7 (2014), 1, pp. 49-61
  15. Pokusaev, B., et al., Equilibrium Acoustic Velocity in Vapor-Liquid Mixture in Layer of Spherical Parti-cles, Thermal Science, 18 (2014), 2, pp. 591-602
  16. Kraus, E. I., Shabalin, I. I., Reactor2D: A Tool for Simulation of Shock Deformation, AIP Conf. Proc., 1770 (2016), 1, 030092
  17. Sakharov, A. D., et al., Experimental Investigation of the Stability of Shock Waves and the Mechanical Properties of Substances at High Pressure and Temperature (in Russian), Sov. Physics, Dokl., 9 (1965), pp. 1091-1096
  18. Belyakov, L. V., et al., Melting of Lead in a Shock Wave (in Russian), Sov. Physics, Dokl., 170 (1966), 3, pp. 540-543
  19. Novikov, S. A., Sinitsyna, L. M., Effect of the Pressure of Shock Compression on the Critical Shear Stress-es in Metals, J. Appl. Mech. Tech. Phys., 11 (1973), 6, pp. 983-986
  20. Simon, F., Glatzel, G., Bemerkungen zur Schmelzdruckkurve, Zeitschrift fur Anorg. und Allg. Chemie, 178 (1929), 1, pp. 309-316
  21. Babb, S. E., Parameters in the Simon Equation Relating Pressure and Melting Temperature, Rev. Mod. Phys., 35 (1963), 2, pp. 400-413
  22. Hanstrom, A., Lazor, P., High Pressure Melting and Equation of State of Aluminium, J. Alloys Compd., 305 (2000), 1-2, pp. 209-215
  23. Boehler, R., Ross, M., Melting Curve of Aluminum in a Diamond Cell to 0.8 Mbar: Implications for Iron, Earth Planet. Sci. Lett., 153 (1997), 3-4, pp. 223-227
  24. Akaishi, M., et al., Pressure Correction at High Temperature Using the Melting Curve of Pb, Jpn. J. Appl. Phys., 16 (1977), 6, pp. 1077-1078
  25. Godwal, B. K., et al., Ultrahigh-Pressure Melting of Lead: A Multidisciplinary Study, Science, 248 (1990), 4954, pp. 462-465
  26. Mirwald, P. W., Kennedy, G. C., Melting Temperature of Lead and Sodium at High Pressures, J. Phys. Chem. Solids, 37 (1976), 8, pp. 795-797

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