Abstract The objective of this paper is to develop an analytical expression for temperature in a thermodynamically consistent model with a Mie-Gruneisen equation for pressure. This expression for the temperature is obtained for both constant and variable specific heat models and can be used in common models for the material yield strength that include thermal softening due to increase in temperature. Also, the material parameters in the model can easily be calibrated to match known experimental data and the model has been used to determine the value of the shock pressure at the onset of melting during shock loading.

中文翻译：

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具有 Mie-Gruneisen 压力方程的热力学一致模型中温度的解析表达式

摘要 本文的目的是在具有 Mie-Gruneisen 压力方程的热力学一致模型中开发温度的解析表达式。该温度表达式是针对恒定比热模型和可变比热模型获得的，可用于材料屈服强度的常见模型，包括由于温度升高而导致的热软化。此外，模型中的材料参数可以轻松校准以匹配已知的实验数据，并且该模型已用于确定冲击加载期间熔化开始时的冲击压力值。