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

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

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arXiv · 2008.03422

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

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

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Abstract

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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Motohiro Sato, Kazusa Ishigami, Hiroyuki Kato, Yoshitaka Umeno, Hiroyuki Shima. 2020-08-08. Scaling law for the onset of the surface wrinkling of multilayer tubes. https://arxiv.org/abs/2008.03422

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