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arXiv 1707.07705cond-mat.mtrl-sci
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柔性材料各向异性热膨胀的成因

Origins of anisotropic thermal expansion in flexible materials

Carl P. Romao

摘要:

基于声子频率对单轴应力扰动的响应,导出了各向异性材料的Grüneisen参数的定义。该Grüneisen模型将给定方向上的热膨胀($α_{ii}$)与弹性柔量张量的一个元素相关联,该元素对应于该方向上的杨氏模量($Y_{ii}$)。该模型是通过从头计算预测锌,石墨,方解石使用密度泛函微扰理论的热膨胀进行测试,表明它可以导致结构复杂系统的准确性增加。$α_{ii}$对$Y_{ii}$的直接依赖性表明,沿其主轴是柔性的但在其它方向上是刚性的材料通常将显示正和负热膨胀。

英文摘要:

A definition of the Grüneisen parameters for anisotropic materials is derived based on the response of phonon frequencies to uniaxial stress perturbations. This Grüneisen model relates the thermal expansion in a given direction ($α_{ii}$) to one element of the elastic compliance tensor, which corresponds to the Young's modulus in that direction ($Y_{ii}$). The model is tested through ab initio prediction of thermal expansion in zinc, graphite, and calcite using density functional perturbation theory, indicating that it could lead to increased accuracy for structurally complex systems. The direct dependence of $α_{ii}$ on $Y_{ii}$ suggests that materials which are flexible along their principal axes but rigid in other directions will generally display both positive and negative thermal expansion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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