A New Thermodynamic Model for the Shock Compression Behavior Prediction for Porous Materials
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摘要: 在一定的假设条件下，从基本的热力学关系出发，导出了一个新的物态方程表达式。利用这一新形式特态方程所建立的热力学模型，可预测疏松材料的冲击压缩行为。以低、中、高冲击阻抗的铝、铜和钨为示例，将本模型的理论计算曲线与实验冲击压缩数据比较，表明本模型的在宽广的压力范围内具有良好的普活性；对不同初妈密度，疏松材料的冲击压缩行为均显示出较为满意的理论经历测能力；与现有的其它疏松材料物态方程模型相比，本模型在理论上和实际应用中均具有较大的优越性。Abstract: Assuming that the specific heat at constant pressure cP is simply dependent on the pressure or remains constant, a new thermodynamic equation of state (EOS) is derived in this paper, which is very useful for the EOS studies, particularly in isobaric plane. Combining with Rankine-Hugoniot relations, our new EOS can be used to deduce the relation between porous Hugoniot and the solid one. Consequently, once the solid Hugoniot is known, this model can predict the Hugoniot behavior of materials with different initial porosities. In order to verify the validity of this model calculations are carried out for porous 2024 aluminum, copper and tungsten with different initial densities. Comparison with the corresponding experimental data demonstrates that this model has high accuracy in prediction of Hugoniots for porous materials in a wide pressure range.
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Key words:
- porous materials /
- equation of state /
- thermodynamic model /
- shock compression
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