Size-dependent effective properties of a heterogeneous material with interface energy effect: from finite deformation theory to infinitesimal strain analysis
Size-dependent effective properties of a heterogeneous material with interface energy effect: from finite deformation theory to infinitesimal strain analysis
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DOI：
10.1007/s00707-006-0381-0
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发表时间：
2007-05
期刊：
影响因子：
2.7
通讯作者：
Z. P. Huang;L. Sun
中科院分区：
文献类型：
--
作者：
Z. P. Huang;L. Sun
本文考虑了由界面能和界面应力引起的弹性场从参考位形到当前位形的变化。本文强调指出，首先应在有限变形框架内建立考虑界面能量效应的控制方程，然后才能用无穷小应变分析法来近似求解多相弹性介质的非线性变形控制方程。因此，可以看出，非对称的界面应力必须使用的杨拉普拉斯方程。根据上述形式，推导了考虑界面能效应的颗粒填充复合材料的有效模量与尺寸相关的解析表达式。结果表明，与以往研究结果不同的是，类液体表面/界面张力作为残余应力型项，也影响复合材料的有效性能。
In this paper, the change of the elastic fields induced by the interface energies and the interface stresses from the reference configuration to the current configuration is considered. It is emphasized that the governing equations taking into account the interface energy effect should be established within the framework of finite deformation in the first place, and then the approximations of governing equations for a finitely deformed multi-phase elastic medium by an infinitesimal strain analysis can be formulated. Hence it can be seen that the asymmetric interface stress has to be used in the Young-Laplace equation. According to the above mentioned formalism, analytical expressions of the size-dependent effective moduli of a particle-filled composite material with interface energy effect are derived. It is shown that, different from the results obtained by previous researchers, the liquid-like surface/interface tension, as a residual stress-type term, also influences the effective property of the composite.