Abstract
Over the past few decades, folding paper has extended beyond the origami deployable applications to reach the engineering field. Nevertheless, mechanical information about paper behavior is still lacking, especially during folding/unfolding. This article proposes an approach to characterize the paper fold behavior in order to extract the material data that will be needed for the simulation of folding and to go a step further the single kinematics of origami mechanisms. The model developed herein from simple experiments for the fold behavior relies on a macroscopic local hinge with a nonlinear torsional spring. Though validated with only straight folds, the model is still applicable in the case of curved folds thanks to the locality principle of the mechanical behavior. The influence of both the folding angle and the fold length is extracted automatically from a set of experimental values exhibiting a deterministic behavior and a variability due to the folding process. The goal is also to propose a methodology that may extend the simple case of the paper crease, or even the case of thin material sheets, and may be adapted to other identification problems.
Highlights
Over the past few decades folding paper has extended beyond the origami deployable applications to reach the engineering field
Two paper orientations are tested: (i) the so-called machine direction (MD) where the stress is oriented along the main fiber direction, and (ii) the cross-machine direction (CD), perpendicular to the main fiber direction
As a quantity of interest, the torque applied on the crease is estimated with the assumption that the boundary hinge is perfect, and considering the results presented in [25], a face length assumed to limit the influence of the face bending is selected: samples are 100 mm long, folded in their middle, while their widths may vary, in order to test the influence of the length of the crease
Summary
Over the past few decades folding paper has extended beyond the origami deployable applications to reach the engineering field. This article proposes an approach to characterize the paper fold behavior in order to extract the material data that will be needed for the simulation of folding and to go a step further the single kinematics of origami mechanisms. Though validated with only straight folds, the model is still applicable in the case of curved folds thanks to the locality principle of the mechanical behavior. The influence of both the folding angle and the fold length are extracted automatically from a set of experimental values exhibiting a deterministic behavior and a variability due to the folding process. The goal is to propose a methodology that may extend the simple case of the paper crease, or even the case of thin material sheets, and may be adapted to other identification problems
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