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Spontaneous formation and morphology of telephone cord blisters in thin films: The Ω formulae

机译：薄膜中的电话帘线水疱的自发形成和形貌：Ω配方

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摘要

Telephone cord blisters (TCBs) are frequently observed in film/substrate material systems. They nucleate and propagate forward with wavy boundaries between the film and the substrate. The current study views the problem from a completely new angle: It is discovered that the spontaneous formation and morphology of TCBs in thin films under biaxial compressive residual stresses can be accurately explained and determined by assuming the existence of a pocket of energy concentration (PEC) instead of the existence of a separation of critical size. For the first time, completely-analytical formulae-the 'Omega formulae'-are derived for the two local morphology parameters of TCBs of any shape, that is, width and height, and for the two global morphology parameters of TCBs of sinusoidal shape, that is, the wavelength and transverse amplitude. Mechanical conditions are also given for the first time for the formation of TCBs. Predictions for the four morphology parameters of the developed theory agree very well with extensive experimental results. In addition, by reversing the calculation, the residual stress and the film/substrate interface fracture toughness are also accurately determined from measurements of the TCB morphology parameters.
机译：在薄膜/基底材料系统中经常观察到电话帘线水疱（TCBS）。它们成核并在薄膜和基材之间具有波浪边界的向前传播。目前的研究从完全新角度看出问题：发现双轴压缩残余应力下薄膜中TCBS的自发形成和形态可以通过假设能量浓度（PEC）的袋的存在来精确解释和确定而不是存在临界大小的分离。首次，完全分析公式 - “欧米茄公式” - 衍生出任何形状的TCB的两个局部形态参数，即宽度和高度，以及用于正弦形状的TCB的两个全局形态参数，也就是说，波长和横向幅度。对于形成TCBS的第一次，还给出了机械条件。发达理论的四个形态参数的预测与广泛的实验结果非常好。另外，通过逆转计算，还可以从TCB形态参数的测量中精确地确定残余应力和薄膜/衬底界面断裂韧性。

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