Size-dependent elastic field of nano-inhomogeneity: from interface effect to interphase effect
Size-dependent elastic field of nano-inhomogeneity: from interface effect to interphase effect
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纳米不均匀性的尺寸依赖性弹性场：从界面效应到相间效应
DOI：
10.1007/s00419-020-01722-2
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发表时间：
2020-07
影响因子：
2.8
通讯作者：
Ye Wei
中科院分区：
文献类型：
--
作者：
Wang Mian;Ye Wei
由于纳米材料具有较大的表面/界面体积比，表面/界面效应开始在改变经典弹性理论中的本构关系中发挥重要作用。本文分别研究了界面效应和相间效应引起的纳米不均匀体的弹性场随尺寸的变化。给出了考虑界面和界面相效应的纳米非均匀弹性场的解析解，并以InAs/GaAs系统为例进行了数值计算，结果表明界面和界面相效应对纳米非均匀弹性场有显著影响。详细讨论了考虑界面和相间效应的纳米非均匀弹性场的连续性和不连续性。通过数值计算和解析分析，验证了当界面相厚度收缩为零时，界面效应引起的弹性场趋于收敛于界面效应引起的弹性场。在远离界面区的位置，所有结果均收敛于经典解，因此在实际情况中，不必区分远离界面区的界面效应或界面相效应。
Due to the large surface/interface-to-volume ratio, surface/interface effect in nanomaterials begins to play an important role in changing the constitutive law seen in classical elasticity theory. This work investigates the size-dependent elastic field of nano-inhomogeneity due to interface and interphase effect, respectively. Closed-form solution to the elastic field of nano-inhomogeneity with interface and interphase effect is found. For comparison, the numerical result of InAs/GaAs system is provided as an example, which demonstrates that interface and interphase effect could have significant influence on the elastic field of nano-inhomogeneity. The continuity/discontinuity of the elastic field of nano-inhomogeneity with interface and interphase effect is discussed in detail. It is verified both numerically and analytically that the elastic field from interphase effect tends to converge to that from interface effect when the interphase thickness shrinks to zero. Furthermore, all results converge to the classical solution at positions far away from the interfacial region, so it is unnecessary to distinguish interface or interphase effect at positions far away from the interfacial region in practical situations.
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