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Surface wrinkling is an instability mode that is often observed in a widevariety of multilayer tubes under bending deformation. When the degree ofapplied bending exceeds a critical value, wrinkles appear at the intrados ofthe tube and release a large amount of in-plane strain energy stored by bendingdeformation. In the present work, we propose a simple theoretical model forevaluating the critical curvature and critical bending moment for theoccurrence of wrinkling in multilayer tubes and apply the model to carbonnanotubes in a case study. Results indicate an inverse proportionalrelationship between the two critical properties, which holds true regardlessof the number of layers and the size of the hollow core.

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