Compressed cylindrical shell with a rigid core and a gap

Hung-Chieh Fan Chiang,Tzay-Ming Hong,Hsin-Huei Li

doi:10.1063/5.0030066

Abstract

Compressed cylindrical shells are common in our daily life, such as rolled-up sleeves and a retreated package of drinking straws. The deformations on these cylindrical shells with a rigid core are often random and unpredictable. In contrast, compressed beer can exhibit uniform arrays of diamonds, called the Yoshimura pattern. To elucidate the difference between these systems, we combine molecular dynamics simulations and experiments to study the deformation on a compressed cylindrical shell with a rigid core. By thoroughly exploring different material parameters, we are able to pin down the mode diagram.

Highlights

In contrast to cylindrical shells buckled along the axial direction,18,19 researchers who are interested in distinct undulating topologies for fruits and vegetables20 or soft elastic cylindrical shells have discussed core–shell structures for different modes of deformation
In real-life examples such as rolledup sleeves, taken-off pants, shed skin of snakes, wrinkled wrapping when removed from drinking straws, or more exotic banana leaves and giant elephant ears, as shown in Fig. 1, there is a gap between the core and the shell
By combining simulations and experiments, we discover that there are five different modes for a core-gap-shell system

Summary

INTRODUCTION

The deformation of soft material is ubiquitous and can be due to mechanical force, temperature, pH value, humidity, electric field, and van der Waals interactions. Plentiful examples exist in living creatures, such as the wrinkling of skin, differential growth of bacterial biofilms, and pattern selection in growing tubular tissue. In contrast to cylindrical shells buckled along the axial direction, researchers who are interested in distinct undulating topologies for fruits and vegetables or soft elastic cylindrical shells have discussed core–shell structures for different modes of deformation. in real-life examples such as rolledup sleeves, taken-off pants, shed skin of snakes, wrinkled wrapping when removed from drinking straws, or more exotic banana leaves and giant elephant ears, as shown in Fig. 1, there is a gap between the core and the shell. In real-life examples such as rolledup sleeves, taken-off pants, shed skin of snakes, wrinkled wrapping when removed from drinking straws, or more exotic banana leaves and giant elephant ears, as shown, there is a gap between the core and the shell. This interval lends more freedom to the deformation and may allow for the creation of new modes. To clarify this conjecture, we will discuss the morphology and dynamics of a cylindrical shell with a coaxial core whose radii R0 and Rin are independently varied. Among them are the spiral, ladder, diamond, wrinkle, and sagging modes from simulations shown on the left panels of Fig. 2, while their corresponding modes from experiments are on the right

MOLECULAR DYNAMICS SIMULATIONS

MODE DIAGRAM

ENERGETIC RESPONSE

MECHANICAL RESPONSE

CONCLUSION AND DISCUSSIONS