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拉扭耦合作用下柱形纤维与基底的界面黏附性能研究

INVESTIGATION ON THE INTERFACIAL ADHESION OF A CYLINDRICAL FIBRILLAR ON A SUBSTRATE UNDER THE COUPLING EFFECT OF TENSION AND TORQUE

  • 摘要: 受壁虎刚毛可逆黏附性能的启发, 本文建立了单根弹性圆柱纤维与刚性基底黏附接触的理论和数值模型, 同时考虑了拉伸和扭转载荷的耦合作用及纤维半径对界面黏附性能的影响. 研究发现耦合载荷作用下柱形纤维同样存在一个临界半径, 当纤维半径小于该临界尺寸时, 界面应力达到均匀的理论强度分布, 接触边界应力集中消失, 出现缺陷不敏感现象; 当纤维半径大于该临界尺寸时, 界面以裂纹扩展而失效. 在耦合载荷作用下纤维的临界半径小于纯拉伸而大于纯扭转时的临界尺寸, 且该临界半径随着施加扭转载荷的增大而减小. 表明在纯拉伸载荷下使界面黏附强度达到最优的柱形纤维, 在拉伸和扭转载荷耦合作用下, 由于界面失效形式的转变使界面易发生脱黏, 并且界面脱黏时的拉脱力随着扭转载荷的增大而减小, 理论和数值结果一致. 本文结果进一步应用揭示了壁虎可以通过调控施加在其最小黏附单元上的载荷形式实现纯拉伸载荷下强黏附及耦合载荷下易脱黏的力学机制.

     

    Abstract: Inspired by the reversible adhesion of gecko seta, theoretical and numerical models of an elastic cylindrical fibrillar on a rigid substrate are established in the present paper, in which the coupling effect of tension and torque as well as the radius of the fibrillar on the interfacial adhesion is considered. It is found that when the fibrillar is subjected to the coupling effect of tension and torque, there also exists a critical radius of the fibrillar, below which the interfacial stress can reach the theoretical strength uniformly and the stress concentration at the contact edge vanishes, leading to the phenomenon of flaw insensitivity. When the radius of the fibrillar is larger than the critical value, the detachment of the interface between the fibrillar and substrate occurs in the form of crack propagation. The critical radius of the fibrillar under the coupling effect of tension and torque decreases with increasing the applied torque, but it is smaller than the case of pure tension and is larger than the case of pure torque. It can be concluded that if a fibrillar can reach the optimal theoretical adhesion strength under the pure tensile load, it could be easily detached under the coupling effect of tension and torque due to the different interface failure modes under different loading forms. The pull-off force decreases with the increase of the applied torsion load. The theoretical results are well consistent with the numerical ones. The obtained results in the present paper can be further applied to disclose the mechanical mechanism of the reversible adhesion of gecko seta through applying pure tension to achieve strong attachment and applying coupling effect of tension and torque to achieve easy detachment.

     

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