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:

$B=B_0+\frac{{B_{0^{\prime }}}^{\prime }}{\lambda }(1-e^{-\lambda p})$

where $B_0$ is the isothermal bulk modulus, ${B_{0^{\prime }}}^{\prime }$ 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:

$p=\frac{1}{\lambda }[\frac{\lambda B_0{(V/V_0)}^{-\lambda B_0+{B_{0^{\prime }}}^{\prime }}+{B_{0^{\prime }}}^{\prime }}{\lambda B_0+{B_{0^{\prime }}}^{\prime }}]$