• Media type: E-Article
  • Title: Temperature variation of the isothermal bulk modulus in solids: Thermo-elastic instability and melting
  • Contributor: Digilov, Rafael M.; Abramovich, Haim
  • Published: AIP Publishing, 2019
  • Published in: Journal of Applied Physics, 125 (2019) 6
  • Language: English
  • DOI: 10.1063/1.5078722
  • ISSN: 0021-8979; 1089-7550
  • Keywords: General Physics and Astronomy
  • Origination:
  • Footnote:
  • Description: A new expression for the temperature dependence of the isothermal bulk modulus BT of solids is represented in terms of the Lambert function. The derived equation predicts a non-linear decrease in the bulk modulus over the entire temperature range of the solid phase, from a value of B0 at absolute zero to the nonzero value of B0e−1 at the melting point. The quasi-harmonic Debye-Gruneisen model is used to show that upon heating, the solid loses its elasticity and melts, when the thermal pressure exceeds a critical value B0(eδT)−1, with δT being the Anderson-Gruneisen parameter. The thermo-elastic instability criterion of melting and the Lindemann melting law are re-examined. The unspecified Lindemann scale factor is interpreted in terms of the Anderson and Anderson-Grüneisen parameters and the Poisson ratio.