Abstract

Investigating the compression properties of randomly ordered fiber networks experimentally is difficult which has resulted in ongoing disputes as to the mechanisms controlling the compression strength in such materials. In this work, we investigated compression properties of randomly oriented fiber networks with a special emphasis on cellulose products such as paperboard. We numerically reconstructed the conditions of the short span compression test widely used to quantify the compression strength of paperboard. We found that the phenomenological failure mode of such networks is elasto-plastic buckling. The x-shaped failure mode observed in physical experiments appears when test specimen restraints are included in the model. The most significant improvements to sheet strength can be obtained by improving the elastic properties while the strain to failure is increased most by an improvement of the plastic yield and hardening properties of individual fibers. Bond breaks were confirmed to have a smaller influence on the overall response. Fiber level microscopic buckling was investigated in depth, providing quantitative estimates of the fraction of mass likely to buckle at the microscopic level. The analysis indicated that only a low to moderate number of load carrying fibers can be expected to buckle. The inherent strength reserve in non-ordered fiber networks was investigated by introducing hinge mechanisms throughout the network, and the effect was shown to be small for a small to moderate number of hinges.

Highlights

  • Cellulose based packaging materials are strong candidates to replace fossil-based materials such as plastics in societies that wish to reduce their dependence on non-sustainable resources

  • The main factor investigated when modeling the clamps is whether the geometry-change induced by the forcecontrolled pressing of the clamps in itself is enough to alter the failure mode as compared to when idealized restraints are used

  • The material parameters and network character was chosen to be similar to paperboard

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Summary

Introduction

Cellulose based packaging materials are strong candidates to replace fossil-based materials such as plastics in societies that wish to reduce their dependence on non-sustainable resources. Cheap, biodegradable and can be tailored to fit a range of commercial purposes. Cellulose based materials present challenges due to their micromechanical structure. A sheet is made up of densely packed fibers with a high degree of anisotropy. There is no matrix, and all the load is transferred via points of contact between the fibers. A simple sheet of paper exhibits material non-linearity in the form of plasticity, creep, rate-dependent behavior and inelastic strains induced by moisture and temperature

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