Generalized interfacial energy and size effects in composites
Generalized interfacial energy and size effects in composites
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DOI：
10.1016/j.jmps.2017.06.002
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发表时间：
2017-09
影响因子：
5.3
通讯作者：
G. Chatzigeorgiou;F. Meraghni;A. Javili
中科院分区：
文献类型：
--
作者：
G. Chatzigeorgiou;F. Meraghni;A. Javili
此贡献的目的是解释复合材料中由于底层微观结构成分之间的界面能而产生的尺寸效应。广义界面能解释了变形的跳跃以及界面上的应力。粘性区和弹性界面只是一般界面模型的两个极限情况。导出封闭式解析解来计算有效的界面增强材料响应。我们的新颖解析解与有限元法针对各种参数和尺寸获得的数值结果非常一致。一个值得注意的观察是，尺寸效应的概念在理论上受到数值例子的验证。因此，通过减小微观结构尺寸而获得的增益或损失被限制在某些最终值，这与设计纳米复合材料直接相关。
The objective of this contribution is to explain the size effect in composites due to the interfacial energy between the constituents of the underlying microstructure. The generalized interface energy accounts for both jumps of the deformation as well as the stress across the interface. The cohesive zone and elastic interface are only two limit cases of the general interface model. A closed form analytical solution is derived to compute the effective interface-enhanced material response. Our novel analytical solution is in excellent agreement with the numerical results obtained from the finite element method for a broad variety of parameters and dimensions. A remarkable observation is that the notion of size effect is theoretically bounded verified by numerical examples. Thus, the gain or loss via reducing the dimensions of the microstructure is limited to certain ultimate values, immediately relevant for designing nano-composites.