Large deformation and instability of soft hollow cylinder with surface effects

TL;DR

This study investigates how surface stress impacts the deformation and instability of soft hollow cylinders, revealing that surface energy significantly influences their mechanical behavior under various loading conditions.

Contribution

It introduces a hyper-elastic model incorporating surface energy density to analyze deformation and instability in soft hollow cylinders, highlighting the effects of surface stress.

Findings

Surface tension resists deformation, while residual surface stress promotes larger deformation.

Surface parameters significantly alter the critical conditions for creasing instability.

Surface energy influences both deformation and instability at finite strains.

Abstract

Surface stress, which is always neglected in classical elastic theories, has recently emerged as a key role in the mechanics of highly deformable soft solids. In this paper, the effect of surface stress on the deformation and instability of soft hollow cylinder are analyzed. By incorporating surface energy density function into the constitutive model of a hyper-elastic theory, explicit solutions are obtained for the deformation of soft hollow cylinder under the conditions of uniform pressure loading and geometric everting. It is found that surface tension evidently alters the deformation of the soft cylinder. Specifically, the surface stiffness resists the deformation, but the residual surface stress is inclined to larger deformation. Effects of surface stress on the instability of the soft hollow cylinder is also explored. For both the pressure loading and geometric everting conditions, significant changes in critical condition of the creases are found by varying the surface parameter. The results in this work reveal that surface energy obviously influences both the deformation and the instability of soft hollow cylinder at finite deformation. The obtained results will be helpful for understanding and predicting the mechanical behavior of soft structures accurately.