Peng Zhilong, Chen Shaohua
The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042401. doi: 10.1103/PhysRevE.91.042401. Epub 2015 Apr 3.
Inspired by the experimental observation that the maximum peeling force of elastic films on rigid substrates does not always emerge at the steady-state peeling stage, but sometimes at the initial one, a theoretical model is established in this paper, in which not only the effect of the film's bending stiffness on the peeling force is considered, but also the whole peeling process, from the initiation of debonding to the steady-state stage, is characterized. Typical peeling force-displacement curves and deformed profiles of the film reappear for the whole peeling process. For the case of a film with relatively large bending stiffness, the maximum peeling force is found arising at the initial peeling stage and the larger the stiffness of the film, the larger the maximum peeling force is. With the peeling distance increasing, the peeling force is reduced from the maximum to a constant at the steady-state stage. For the case of a film with relatively small stiffness, the peeling force increases monotonically at the initial stage and then achieves a constant as the maximum at the steady-state stage. Furthermore, the peeling forces in the steady-state stage are compared with those of the classical Kendall model. All the theoretical predictions agree well with the existing experimental and numerical observations, from which the maximum peeling force can be predicted precisely no matter what the stiffness of the film is. The results in this paper should be very helpful in the design and assessment of the film-substrate interface.
受实验观察结果的启发，即弹性薄膜在刚性基底上的最大剥离力并非总是出现在稳态剥离阶段，有时会出现在初始阶段，本文建立了一个理论模型，该模型不仅考虑了薄膜弯曲刚度对剥离力的影响，还描述了从脱粘开始到稳态阶段的整个剥离过程。整个剥离过程中典型的剥离力 - 位移曲线和薄膜的变形轮廓得以重现。对于具有相对较大弯曲刚度的薄膜情况，发现最大剥离力出现在初始剥离阶段，且薄膜刚度越大，最大剥离力越大。随着剥离距离增加，剥离力从最大值减小到稳态阶段的一个恒定值。对于具有相对较小刚度的薄膜情况，剥离力在初始阶段单调增加，然后在稳态阶段达到一个恒定值作为最大值。此外，将稳态阶段的剥离力与经典肯德尔模型的进行了比较。所有理论预测结果与现有的实验和数值观测结果吻合良好，据此无论薄膜刚度如何都能精确预测最大剥离力。本文的结果对于薄膜 - 基底界面的设计和评估应具有很大帮助。
