Fibrous nanocomposites with interface stress: Hill’s and Levin’s connections for effective moduli
Fibrous nanocomposites with interface stress: Hill’s and Levin’s connections for effective moduli
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DOI：
10.1063/1.2206132
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发表时间：
2006-05
影响因子：
4
通讯作者：
Tungyang Chen;G. Dvorak
中科院分区：
文献类型：
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作者：
Tungyang Chen;G. Dvorak
我们研究了含有相同尺寸的圆柱形纳米夹杂物且界面处表面效应显著的固体的宏观行为。这些固体的整体热机械性能被证明符合两组精确的关联。第一组类似于希尔（Hill）的普适关联，在三个轴对称的整体弹性模量之间提供了两个约束条件。第二组将热膨胀有效系数与有效模量相关联，类似于莱文（Levin）公式。与经典结果不同的是，表面效应的存在使得这两组关联都取决于纳米夹杂物的绝对尺寸。
We study the macroscopic behavior of solids containing circular cylindrical nanoinclusions of the same size with surface effects prevailing at interfaces. The overall thermomechanical properties of these solids are shown to comply with two sets of exact connections. The first set, similar to Hill’s universal connections, provides two constraints among the three axisymmetric overall elastic moduli. The second set relates the effective coefficients of thermal expansion to the effective moduli, in analogy with Levin’s formula. In contrast to the classical results, the presence of surface effects makes both sets of connections dependent on the absolute size of the nanoinclusions.