多种材料的拉格朗日体模量都符合对压强展开到二阶项的关系。以此为基础,建立了一种四参数物态方程,比三参数物态方程适用压力宽、拟合精度高、外推性能好。方程参数关联一、二、三阶导数,根据Hugoniot方程与等熵方程的导数关系,可以检验动高压与静高压实验数据是否相互适合。方程以统一形式表述冲击、等熵和等温压缩状态,适用于多种材料、全压力区,是一种普适物态方程。公式简单、运算方便,克服了传统的四参数物态方程结构复杂、公式冗长以及参数间高度关联而失去实用意义的缺陷。
Based on the fact that the Lagrangian bulk moduli of many materials can be expressed as a second order expansion with respect to pressure,a four-parameter equation of state has been proposed which,in comparison with the three-parameter equation of state,can be applied to a wider pressure range and has higher fitting accuracy and good extrapolation behavior.The parameters in the equation are dependent on the first,second and third order derivatives,hence,by using the derivative relations of the Hugoniot and isentropic equations,one can verify if the dynamic high-pressure experimental data match the static high-pressure experimental data.The equation describes shock,isentropic and isothermal compression states in a unified form,is suitable for a variety of materials in a wide pressure range,and therefore can be considered as a universal equation of state.Being simple and easy to operate,our equation overcomes the weakness of conventional four-parameter equations of state which are of no