Equations of State
Equations of State
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DOI：
10.1007/978-3-030-15330-4_6
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
J. Clayton
中科院分区：
文献类型：
--
作者：
J. Clayton
给出了适用于流体力学假设下模拟固体压缩的状态方程。具体推导了前三章中发展的拉格朗日理论、欧拉理论和对数理论在偏差应力可以忽略的情况下的简化。在这种情况下，得到了与压力、体积、温度或熵相关的标量状态方程。将有限压缩塑性金属的模型预测与平面冲击数据进行了比较，证明了流体动力学近似的适用性以及与Birch和Murnaghan等价的欧拉状态方程的优越性。发现对数状态方程适用于模拟几种韧性较差的多晶矿物的静液压。本章最后对三种热弹性公式进行了全面的评估，其中欧拉模型被认为是剪切与体积弹性比相对较低的延性固体的首选模型，对数模型被认为是剪切与体积弹性比较高的脆性固体的首选模型。
Equations of state suitable for modeling compression of solids under the hydrodynamic assumption are presented. Specifically derived are reductions of the Lagrangian, Eulerian, and logarithmic theories developed in the prior three chapters to cases wherein deviatoric stress can be ignored. In such cases, scalar equations of state are obtained that relate pressure, volume, and temperature or entropy. Model predictions are compared with planar shock data for finite compression of ductile metals, demonstrating suitability of the hydrodynamic approximation as well as superiority of the Eulerian equation of state, which is equivalent to that of Birch and Murnaghan. The logarithmic equation of state is found suitable for modeling hydrostatic compression of several less ductile polycrystalline minerals. This chapter concludes with an overall assessment of the three thermoelastic formulations, where the Eulerian model is deemed preferable for ductile solids with a relatively low ratio of shear to bulk modulus and the logarithmic model for brittle solids with a higher ratio of shear to bulk modulus.