Mechanics and wrinkling patterns of pressurized bent tubes
arxiv(2024)
摘要
Take a drinking straw and bend it from its ends. After sufficient bending,
the tube buckles forming a kink, where the curvature is localized in a very
small area. This instability, known generally as the Brazier effect, is
inherent to thin-walled cylindrical shells, which are particularly ubiquitous
in living systems, such as rod-shaped bacteria. However, tubular biological
structures are often pressurized, and the knowledge of the mechanical response
upon bending in this scenario is limited. In this work, we use a computational
model to study the mechanical response and the deformations as a result of
bending pressurized tubes. In addition, we employ tension-field theory to
describe the mechanical behaviour before and after the wrinkling transition.
Furthermore, we investigate the development and evolution of wrinkle patterns
beyond the instability, showing different wrinkled configurations. We discover
the existence of a multi-wavelength mode following the purely sinusoidal
wrinkles and anticipating the kinked configuration of the tube.
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