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首页> 外文期刊>Composite Structures >Effect of Poisson's ratio mismatch on brittle interfacial cracking between two dissimilar elastic layers
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Effect of Poisson's ratio mismatch on brittle interfacial cracking between two dissimilar elastic layers

机译：泊松比失配对两个不同弹性层之间脆性界面裂纹的影响

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Previous work by the authors (Harvey et al., 2015) on brittle interfacial cracking between two dissimilar elastic layers is extended to accommodate Poisson's ratio mismatch in addition to the existing capability for elastic modulus mismatch. Under crack tip bending moments and axial forces, it is now possible to use a completely analytical 2D elasticity-based theory to calculate the complex stress intensity factor (SIF) and the crack extension size-dependent energy release rates (ERRs). To achieve this, it is noted that for a given geometry and loading condition, the total ERR and bimaterial mismatch coefficient are the two main factors affecting the partitions of ERR. Based on this, equivalent material properties are derived for each layer, namely, an equivalent elastic modulus and an equivalent Poisson's ratio, such that both the total ERR and the bimaterial mismatch coefficient are maintained in an alternative equivalent case. Cases for which no analytical solution for the SIFs and ERRs currently exist can therefore be 'transformed' into cases for which the analytical solution does exist. The approach is verified against results from 2D finite element method simulations in which excellent agreement is observed for cases of plane stress and plane strain with a variety of loading conditions. (C) 2016 Elsevier Ltd. All rights reserved.
机译：作者（Harvey et al。，2015）先前关于两个不同弹性层之间的脆性界面开裂的工作已经扩展，除了现有的弹性模量失配能力之外，还可以容纳泊松比失配。在裂纹尖端的弯矩和轴向力作用下，现在可以使用基于2D弹性的完全解析理论来计算复杂应力强度因子（SIF）和取决于裂纹扩展尺寸的能量释放率（ERRs）。为了实现这一点，需要注意的是，对于给定的几何形状和加载条件，总ERR和双材料失配系数是影响ERR分配的两个主要因素。基于此，得出每一层的等效材料特性，即等效弹性模量和等效泊松比，从而在另一等效情况下，总ERR和双材料失配系数都得以保持。因此，当前不存在针对SIF和ERR的分析解决方案的案例可以被“转化”为确实存在分析解决方案的案例。该方法针对2D有限元方法仿真的结果进行了验证，在2D有限元方法仿真中，在各种载荷条件下的平面应力和平面应变情况下均观察到了极好的一致性。 （C）2016 Elsevier Ltd.保留所有权利。

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