论文标题

缩放定律,以发作多层管的表面皱纹

Scaling law for the onset of the surface wrinkling of multilayer tubes

论文作者

Sato, Motohiro, Ishigami, Kazusa, Kato, Hiroyuki, Umeno, Yoshitaka, Shima, Hiroyuki

论文摘要

表面皱纹是一种不稳定模式,在弯曲变形下通常在多种多层管中观察到它。当施加的弯曲程度超过临界值时,皱纹出现在管的内部,并释放出大量通过弯曲变形存储的平面内应变能。在目前的工作中,我们提出了一个简单的理论模型,用于评估多层管中皱纹的临界曲率和临界弯曲力矩,并在案例研究中将模型应用于碳纳米管。结果表明,无论层的数量和空心芯的大小如何,这两个临界特性之间存在反比例的关系。

Surface wrinkling is an instability mode that is often observed in a wide variety of multilayer tubes under bending deformation. When the degree of applied bending exceeds a critical value, wrinkles appear at the intrados of the tube and release a large amount of in-plane strain energy stored by bending deformation. In the present work, we propose a simple theoretical model for evaluating the critical curvature and critical bending moment for the occurrence of wrinkling in multilayer tubes and apply the model to carbon nanotubes in a case study. Results indicate an inverse proportional relationship between the two critical properties, which holds true regardless of the number of layers and the size of the hollow core.

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