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Conformational deformation of a multi-jointed elastic loop.
Hiro Tanaka1, Yuji Seki2, Shohei Ueno2
1Department of Mechanical Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka, 565-0871, Japan. htanaka@mech.eng.osaka-u.ac.jp.
Scientific Reports
|November 21, 2022
Summary
Researchers revealed a new deformation class in elastic loops, generating diverse 3D shapes. These findings offer mechanical insights for controlling cyclical structures and molecular conformations.
Area of Science:
- Mechanics of Materials
- Soft Matter Physics
- Structural Biology
Background:
- Molecular ring systems exhibit complex conformations.
- Understanding the mechanics of elastic structures is crucial for predicting their behavior.
- Deformation in multi-jointed elastic systems can lead to diverse three-dimensional (3D) morphologies.
Purpose of the Study:
- To introduce and characterize a new class of deformation for planar loop structures composed of elastic bodies and joints.
- To explore the relationship between the geometry of elastic segments and the resulting 3D conformations.
- To provide mechanical insights into the formation of diverse 3D morphologies in cyclical structures.
Main Methods:
- Modeling a planar loop structure with slender elastic bodies and joints.
- Demonstrating circumferential shortening and observing emergent 3D deformations.
- Utilizing image processing for 3D reconstruction and characterization of deformed structures.
- Analyzing the number, geometry, and initial imperfections of body segments.
Main Results:
- A novel class of deformation was identified in multi-jointed elastic loops.
- Diverse 3D morphologies were observed, resembling molecular ring system conformations.
- Deformation without self-stress arises from cyclical compressive bending of high shear rigidity elastic bodies.
- Characterization of 3D reconstructions revealed the influence of segment number, geometry, and imperfections.
Conclusions:
- The study presents a new deformation mechanism for elastic loops, leading to complex 3D shapes.
- Mechanical insights suggest a link between elastic body properties and the resulting conformational changes.
- Findings may inform strategies for controlling polymorphism in cyclical structures across various scales.
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