Large deformation contact mechanics of a pressurized long rectangular membrane. II. Adhesive contact
Large deformation contact mechanics of a pressurized long rectangular membrane. II. Adhesive contact
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DOI：
10.1098/rspa.2013.0425
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发表时间：
2013-12
期刊：
影响因子：
--
通讯作者：
A. Srivastava;C. Hui
中科院分区：
文献类型：
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作者：
A. Srivastava;C. Hui
在这项工作的第一部分中，我们提出了一个理论的加压新胡克平面应变膜的刚性基板的无粘附接触。在这里，我们扩展我们的理论，包括使用断裂力学方法的粘附。该理论用于研究实验中常见的接触滞后现象。进行了详细的分析，以突出无摩擦和无滑动接触之间的差异。发现膜脱离强烈依赖于粘附：对于低粘附，膜“夹断”，而对于大粘附，其在有限接触下不稳定地脱离（“拉断”）。表达式推导出夹断拉脱过渡所需的临界粘附力。在阈值粘附力以上，膜表现出双稳态，即在零施加压力下的两个稳定状态。对于无摩擦边界条件和无滑移边界条件，得到了双稳定性条件。
In part I of this work, we presented a theory for adhesionless contact of a pressurized neo-Hookean plane-strain membrane to a rigid substrate. Here, we extend our theory to include adhesion using a fracture mechanics approach. This theory is used to study contact hysteresis commonly observed in experiments. Detailed analysis is carried out to highlight the differences between frictionless and no-slip contact. Membrane detachment is found to be strongly dependent on adhesion: for low adhesion, the membrane ‘pinches-off’, whereas for large adhesions, it detaches unstably at finite contact (‘pull-off’). Expressions are derived for the critical adhesion needed for pinch-off to pull-off transition. Above a threshold adhesion, the membrane exhibits bistability, two stable states at zero applied pressure. The condition for bistability for both frictionless and no-slip boundary conditions is obtained explicitly.