拉伸弹性管接触附近的曲率正则化
Curvature regularization near contacts with stretched elastic tubes
摘要：
使刚性物体与软弹性管接触会使管与物体表面一致，从而产生接触线。这些接触线附近的管壁的曲率通常很大，并且通常通过管的有限弯曲刚度来调整。在这里，我们使用实验和Föppl-冯卡门理论，第二种机制的曲率正则化发生时，管轴向拉伸。得到的曲率半径与管壁的抗弯刚度无关，与有限抗弯刚度的影响相反，随施加的拉伸力而增加，随板厚度而减小。此外，轴向力减小了管和侵入物体之间的接触面积，潜在地减小了推动物体通过管所需的阻力。我们表明，这些功能是由于特定的弹性管的几何形状和力学之间的相互作用，但一个是缺席的平面片和球壳。
英文摘要：
Bringing a rigid object into contact with a soft elastic tube causes the tube to conform to the surface of the object, resulting in contact lines. The curvature of the tube walls near these contact lines is often large and is typically regularized by the finite bending rigidity of the tube. Here, we show using experiments and a Föppl--von Kármán-like theory that a second mechanism of curvature regularization occurs when the tube is axially stretched. The radius of curvature obtained is unrelated to the bending rigidity of the tube walls, increases with the applied stretching force and decreases with sheet thickness, in contrast with the effects of finite bending rigidity. %Moreover, the axial force decreases the contact area between the tube and the intruding object, potentially reducing the drag necessary to propel the object through the tube. We show that these features are due to an interplay between geometry and mechanics specific to elastic tubes, but one that is absent from both planar sheets and spherical shells.
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