Adhesive contact of an inflated circular membrane with curved surfaces

Adhesive contact of an inflated circular membrane with curved surfaces
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膨胀圆形膜与曲面的粘合接触

DOI:
10.1016/j.ijsolstr.2023.112371
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发表时间:
2023
影响因子:
3.6
通讯作者:
Long, Rong
Long, Rong
中科院分区:
工程技术2区
文献类型:
--
作者:
Yang, Xingwei;Srivastava, Abhishek;Long, Rong

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充气弹性膜已被用作柔顺探针,以实现灵敏的粘附力测量或粘附力的气动控制。本文提出了充气下圆形弹性膜与刚性弯曲基材之间粘合接触的分析模型。通过采用不可压缩的新胡克膜模型并引入大拉伸下的近似,我们获得了描述粘合接触三个阶段的解析解:接触、接触钉扎和分层。在这三个阶段中,假定接触阶段是无粘附和无摩擦的,而另外两个阶段则在膜和基底之间承受给定的粘附功。对于接触钉扎和分层阶段,考虑了切向界面行为的两种限制情况(即无滑动和无摩擦)。我们的分析模型提供了变形膜轮廓以及施加压力、接触力、接触半径和位移等关键参数之间关系的解决方案,并根据有限元分析的计算结果进行了验证。该分析模型可以为充气膜的粘合接触力学提供更快的解决方案,并且可用作粘合测量、转移印刷和软机器人抓取等应用的设计、优化和系统细化工具。
Inflated elastomeric membranes have been utilized as compliant probes to achieve sensitive adhesion measurement or pneumatic control of adhesive forces. This paper presents an analytical model for the adhesive contact between a circular elastic membrane under inflation and a rigid curved substrate. By adopting an incompressible neo-Hookean model for the membrane and introducing an approximation under large stretch, we obtain analytical solutions describing the three stages of adhesive contact: making contact, contact pinning and delamination. Among these three stages, the making contact stage is assumed to be adhesionless and frictionless, while the other two stages are subjected to a given work of adhesion between the membrane and the substrate. Two limiting cases of tangential interface behaviors (i.e., no slip and frictionless) are considered for the stages of contact pinning and delamination. Our analytical model provides solutions to the deformed membrane profile as well as relationships between key parameters such as applied pressure, contact force, contact radius and displacement, and is verified against computational results from finite element analysis. This analytical model can enable faster solutions for the adhesive contact mechanics of inflated membranes and is applicable as a design, optimization, and system refinement tool for applications such as adhesion measurement, transfer printing and soft robotic gripping.
DOI: --
发表时间: 1967
期刊:
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