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首页> 外文期刊>The Physics of Metals and Metallography >Semiempirical Models for Description of Shear Modulus in Wide Ranges of Temperatures and Pressures of Shock Compression
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Semiempirical Models for Description of Shear Modulus in Wide Ranges of Temperatures and Pressures of Shock Compression

机译：冲击压缩温度和压力范围内剪切模量描述的半经验模型

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摘要

In this paper, we discuss the potentials of the Steinberg–Cochran–Guinan (SCG) and Burak ovsky–Preston (BP) models for the description of the shear-modulus behavior at temperatures and pressures that arise behind the shock-wave front. A modernized variant of the SCG model is suggested, which reduces to the introduction of a free parameter and the representation of the model in the volume–temperature coor dinates ((V, T) model). A systematic comparison is performed of all three models of shear modulus with experimental data and data of ab initio calculations for metals such as Al, Be, Cu, K, Na, Mg, Mo, W, and Ta in a wide range of pressures. In addition, for Al, Cu, Mo, W, and Ta there is performed a comparison with the known temperature dependences of the shear modulus and with the results of measurements of the velocities of longitudinal sound behind the shock-wave front. It is shown that in the original form the SCG and BP models give overestimated values of the shear modulus as compared to the data of ab initio calculations and shock-wave experiments. The (V, T) model, due to the use of a free parameter, makes it possible to optimally describe the totality of experimental and calculated data. The same result is achieved in the case of the BP model after a redefining of its initial parameters. The adequate description of the shear modulus in the range of high intermediate pressures characteristic of the solid-phase states behind the shock-wave front is accom panied in both cases by the violation of the correct asymptotic behavior of the shear modulus at ultrahigh compressions which is originally laid into the SCG and BP models.
机译：在本文中，我们讨论了Steinberg–Cochran–Guinan（SCG）和Burak ovsky–Preston（BP）模型的潜力，以描述在冲击波波前产生的温度和压力下的剪切模量行为。建议使用SCG模型的现代化变体，它简化为引入自由参数并在体积-温度坐标（（V，T）模型）中表示模型。对三种模量的剪切模量进行了系统的比较，并与实验数据以及在较大压力范围内对金属（例如Al，Be，Cu，K，Na，Mg，Mo，W和Ta）的从头算数据进行了比较。另外，对于Al，Cu，Mo，W和Ta，将其与已知的剪切模量的温度依赖性以及在冲击波前的纵向声速的测量结果进行比较。结果表明，与从头算和冲击波实验的数据相比，原始形式的SCG和BP模型给出了高估的剪切模量值。由于使用了自由参数，因此（V，T）模型可以最佳地描述实验和计算数据的整体。重新定义其初始参数后，在BP模型中可获得相同的结果。在这两种情况下，都违反了在超高压缩下的剪切模量的正确渐近特性，从而对冲击波前沿后面的固相态的高中压特性范围内的剪切模量进行了充分的描述。最初放置在SCG和BP模型中。

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