The thermodynamics of elastic deformation—I
The thermodynamics of elastic deformation—I
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DOI：
10.1016/0022-3697(80)90028-1
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发表时间：
1980
影响因子：
4
通讯作者：
J. Tallon
中科院分区：
文献类型：
--
作者：
J. Tallon
本文研究了立方晶体的等温体积模量和两种剪切模量的InB、In μ和In μ'的等压和等温体积导数。在体积模量的情况下，αB（其中α是体积热膨胀）的温度无关性对于大量的材料，确保导数是恒定的，近似相等，而对于剪切模量，证据是先进的，等温导数是恒定的沿着等温线，但不是沿着等压线，除了在熔点附近的高温。由体积模量满足的关系，使明确的温度和压力的摩尔体积，V，热膨胀，和体积模量的依赖关系被确定。Grüneisen参数γ的体积依赖性的最适当的表示似乎是在德拜温度和熔化温度之间γ/维斯与体积无关。
The isobaric and isothermal volume derivatives of InB, In μ and In μ' are investigated, whereB, μ and μ' are the isothermal bulk modulus and the two shear moduli, respectively, of a cubic crystal. In the case of the bulk modulus, the temperature independence of αB(where α is the volume thermal expansion) for a large number of materials, ensures that the derivatives are constant and approximately equal, while for the shear moduli, evidence is advanced that the isothermal derivatives are constant along an isotherm, but not along an isobar except at high temperatures near the melting point. The relationships satisfied by the bulk modulus enable the explicit temperature and pressure dependence of the molar volume,V, thermal expansion, and bulk modulus to be determined. The most adequate representation of the volume dependence of the Grüneisen parameter, γ, appears to be that γ/Vis independent of volume between the Debye and melting temperatures.