Kumari-Dass equation of state

Kumari and Dass presented a model based on a linear bulk modulus equation, in the spirit of the Murnaghan equation of state. The equation of state does not correctly model the bulk modulus as the pressure, $p$, tends towards infinity, as it remains bounded. This is apparent in the equation relating the bulk modulus to pressure:

$B=B_{0}+{\frac {B_{0}'}{\lambda }}\left(1-e^{-\lambda p}\right)$

where $B_{0}$ is the isothermal bulk modulus, $B_{0}'$ is the pressure derivative of the bulk modulus and $\lambda$ is a softening parameter for the bulk modulus. This leads to a equation for pressure dependent on these parameters of the form:

$p={\frac {1}{\lambda }}\left[{\frac {\lambda B_{0}\left(V/V_{0}\right)^{-\lambda B_{0}+B_{0}'}+B_{0}'}{\lambda B_{0}+B_{0}'}}\right]$