Fold Mechanics of Natural and Synthetic Origami Papers
To realize engineered materials and structures via origami methods and other folding construction techniques, fundamental understanding of paper folding mechanics and their dependency on paper micro/nanostructure is needed. Using selected papers commonly used in origami designs, we establish the rel...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
ASME International
2018
|
| Online Access: | http://hdl.handle.net/1721.1/119371 https://orcid.org/0000-0002-7372-3512 |
| _version_ | 1811098174042931200 |
|---|---|
| author | Rao, Abhinav Tawfick, Sameh Shlian, Matthew Hart, Anastasios John |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Rao, Abhinav Tawfick, Sameh Shlian, Matthew Hart, Anastasios John |
| author_sort | Rao, Abhinav |
| collection | MIT |
| description | To realize engineered materials and structures via origami methods and other folding construction techniques, fundamental understanding of paper folding mechanics and their dependency on paper micro/nanostructure is needed. Using selected papers commonly used in origami designs, we establish the relationship between the mechanical properties of fibrous paper and their corresponding ability to form and retain simple creases and mountain/valley folds. Using natural fiber paper (abaca), synthetic fiber paper (Tyvek), and a metalfiber laminate paper, we studied how the fold radius depends on the load applied using a controlled rolling apparatus. After folding, we examined the resultant micro- and nanoscale deformation using electron microscopy. In general we found that the fold radius follows a power law, decreasing with the applied rolling force. At a critical strain, each paper exhibits a transition between elastic and plastic behavior, after which the trend asymptotically approaches the minimum fold radius with increased applied force. Finally, we present examples of centimeter-scale two-dimensionally "mountain fold" patterns and relate the folding characteristics observed in these designs to the mechanical properties of the papers in folding. Keywords: Deformation; Fibers; Synthetic fibers; Laminates; Electron microscopy; Metal fibers; Construction; Stress; Mechanical properties; Nanoscale phenomena |
| first_indexed | 2024-09-23T17:10:43Z |
| format | Article |
| id | mit-1721.1/119371 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T17:10:43Z |
| publishDate | 2018 |
| publisher | ASME International |
| record_format | dspace |
| spelling | mit-1721.1/1193712022-09-30T00:16:01Z Fold Mechanics of Natural and Synthetic Origami Papers Rao, Abhinav Tawfick, Sameh Shlian, Matthew Hart, Anastasios John Massachusetts Institute of Technology. Department of Mechanical Engineering Hart, Anastasios John To realize engineered materials and structures via origami methods and other folding construction techniques, fundamental understanding of paper folding mechanics and their dependency on paper micro/nanostructure is needed. Using selected papers commonly used in origami designs, we establish the relationship between the mechanical properties of fibrous paper and their corresponding ability to form and retain simple creases and mountain/valley folds. Using natural fiber paper (abaca), synthetic fiber paper (Tyvek), and a metalfiber laminate paper, we studied how the fold radius depends on the load applied using a controlled rolling apparatus. After folding, we examined the resultant micro- and nanoscale deformation using electron microscopy. In general we found that the fold radius follows a power law, decreasing with the applied rolling force. At a critical strain, each paper exhibits a transition between elastic and plastic behavior, after which the trend asymptotically approaches the minimum fold radius with increased applied force. Finally, we present examples of centimeter-scale two-dimensionally "mountain fold" patterns and relate the folding characteristics observed in these designs to the mechanical properties of the papers in folding. Keywords: Deformation; Fibers; Synthetic fibers; Laminates; Electron microscopy; Metal fibers; Construction; Stress; Mechanical properties; Nanoscale phenomena National Science Foundation (U.S.) (Grant EFRI-1240264) 2018-11-30T15:22:45Z 2018-11-30T15:22:45Z 2013-08 2018-11-29T17:09:25Z Article http://purl.org/eprint/type/ConferencePaper http://hdl.handle.net/1721.1/119371 Rao, Abhinav et al. “Fold Mechanics of Natural and Synthetic Origami Papers.” Volume 6B: 37th Mechanisms and Robotics Conference, August 4-7 2013, Portland, Oregon, USA, American Society of Mechanical Engineers, August 2013. © 2013 ASME https://orcid.org/0000-0002-7372-3512 http://dx.doi.org/10.1115/DETC2013-13553 Volume 6B: 37th Mechanisms and Robotics Conference Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf ASME International ASME |
| spellingShingle | Rao, Abhinav Tawfick, Sameh Shlian, Matthew Hart, Anastasios John Fold Mechanics of Natural and Synthetic Origami Papers |
| title | Fold Mechanics of Natural and Synthetic Origami Papers |
| title_full | Fold Mechanics of Natural and Synthetic Origami Papers |
| title_fullStr | Fold Mechanics of Natural and Synthetic Origami Papers |
| title_full_unstemmed | Fold Mechanics of Natural and Synthetic Origami Papers |
| title_short | Fold Mechanics of Natural and Synthetic Origami Papers |
| title_sort | fold mechanics of natural and synthetic origami papers |
| url | http://hdl.handle.net/1721.1/119371 https://orcid.org/0000-0002-7372-3512 |
| work_keys_str_mv | AT raoabhinav foldmechanicsofnaturalandsyntheticorigamipapers AT tawficksameh foldmechanicsofnaturalandsyntheticorigamipapers AT shlianmatthew foldmechanicsofnaturalandsyntheticorigamipapers AT hartanastasiosjohn foldmechanicsofnaturalandsyntheticorigamipapers |