Thermo-elastic properties of heterogeneous materials with imperfect interfaces : Generalized Levin's formula and Hill's connections
Thermo-elastic properties of heterogeneous materials with imperfect interfaces : Generalized Levin's formula and Hill's connections
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DOI：
10.1016/j.jmps.2006.10.006
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发表时间：
2007-05
影响因子：
5.3
通讯作者：
H. Duan;B. Karihaloo
中科院分区：
文献类型：
--
作者：
H. Duan;B. Karihaloo
我们研究了含有球形颗粒或圆柱状纤维的非均质材料的热弹性性质。基体和第二相不均匀之间的界面是不完美的，无论是位移还是应力都经历了一次跳跃。我们将有效热膨胀系数(CTE)与有效弹性模数联系起来，从而推广了Levin公式，揭示了有效弹性模数之间的两个联系，从而推广了Hill的联系。与经典结果不同，存在非理想界面时的有效热膨胀系数除了依赖于界面的弹性和热弹性性质外，还强烈依赖于非均匀界面的尺寸。这种尺寸依赖关系已经被简单的标度定律准确地捕捉到了。
We study the thermo-elastic properties of heterogeneous materials containing spherical particles or cylindrical fibres. The interface between the matrix and second-phase inhomogeneity is imperfect with either the displacement or the stress experiencing a jump across it. We relate the effective coefficient of thermal expansion (CTE) to the effective elastic moduli and thereby generalize Levin's formula, and reveal two connections among the effective elastic moduli, thereby generalizing Hill's connections. In contrast to the classical results, the effective CTE in the presence of an imperfect interface is strongly dependent on the size of the inhomogeneity, besides the interface elastic and thermo-elastic properties. This size dependence has been accurately captured by simple scaling laws.