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Mechanical response of a creased sheet
F Lechenault1, B Thiria2, M Adda-Bedia1
1Laboratoire de Physique Statistique, Ecole Normale Supérieure, UPMC Paris 6, Université Paris Diderot, CNRS, 24 rue Lhomond, 75005 Paris, France.
This study reveals a key length scale in creased thin sheets, determining mechanical response by balancing panel bending and crease hinging. This finding is crucial for understanding complex origami structures.
Area of Science:
- Materials Science
- Mechanical Engineering
- Physics
Background:
- Thin sheets with creases exhibit complex mechanical behaviors.
- Understanding these behaviors is essential for applications in deployable structures and robotics.
Purpose of the Study:
- To investigate the mechanics of thin sheets with non-interacting parallel creases.
- To identify the governing factors of the mechanical response in such systems.
Main Methods:
- Analysis of a system comprising parallel folds connected by elastic panels.
- Theoretical investigation of bending deformation in panels and intrinsic response of creases.
Main Results:
- The mechanical response is twofold, influenced by panel bending and crease hinging.
- A characteristic length scale, derived from the ratio of bending to hinge energies, dictates the deformation mode.
- This scale determines whether applied loads result in angle opening or panel bending.
Conclusions:
- A fundamental length scale governs the mechanics of creased thin sheets.
- This provides a foundational understanding for advanced origami mechanics and material design.
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