Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Plastic Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

385
When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
385
Transformation of Plane Stress01:18

Transformation of Plane Stress

601
Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's...
601
Unsymmetric Bending01:18

Unsymmetric Bending

707
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
707
Conformations of Cyclohexane02:11

Conformations of Cyclohexane

14.8K
Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal...
14.8K
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

275
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
275
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

762
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
762

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Removal and Degradation of Fungicides in Fruits: A Critical Review of Traditional and Emerging Decontamination Approaches.

Comprehensive reviews in food science and food safety·2026
Same author

Entropy Decoding the Fundamental Law of Phase Competition in Glass Formation.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2026
Same author

Role of cardiac mast cells in cardiovascular diseases: a review.

PeerJ·2026
Same author

Development of SDP0505: a first-in-class HER3 × c-Met bispecific ADC, demonstrates potent antitumor activity in EGFR TKI-resistant NSCLC, CRC, and beyond.

Antibody therapeutics·2026
Same author

Exploring entropy landscapes using hard particle Monte Carlo metadynamics.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Gut microbiome in sepsis: from dysbiotic biomarker to precision and palliative decision-making.

Frontiers in medicine·2026
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Dec 17, 2025

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
12:33

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

Published on: February 4, 2013

22.1K

Crumpling-origami transition for twisting cylindrical shells.

Li-Min Wang1, Sun-Ting Tsai2, Chih-Yu Lee3

  • 1Department of Physics, National Tsing Hua University, Hsinchu 30013, Taiwan, Republic of China.

Physical Review. E
|June 25, 2020
PubMed
Summary
This summary is machine-generated.

We discovered a morphological transition between ordered origami and disordered crumpling in twisted shells. Our model explains this geometric frustration and predicts transitions in various shapes.

More Related Videos

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding
14:52

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding

Published on: September 23, 2018

9.3K
Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
06:34

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes

Published on: January 6, 2023

2.7K

Related Experiment Videos

Last Updated: Dec 17, 2025

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
12:33

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

Published on: February 4, 2013

22.1K
Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding
14:52

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding

Published on: September 23, 2018

9.3K
Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
06:34

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes

Published on: January 6, 2023

2.7K

Area of Science:

  • Mechanics of Materials
  • Soft Matter Physics
  • Geometric Morphogenesis

Background:

  • Origami and crumpling are distinct methods for reducing membrane size, characterized by ordered versus random crease patterns, respectively.
  • Understanding the transition between these states is crucial for predicting material behavior under mechanical stress.

Purpose of the Study:

  • To investigate the morphological transition between origami and crumpling states in a twisted cylindrical shell.
  • To develop a model explaining the transition driven by geometric frustration and symmetry breaking.
  • To derive analytic formulas for the origami state and generalize findings to other geometries.

Main Methods:

  • Experimental observation of morphological transitions in twisted cylindrical shells.
  • Analysis of crease pattern regularity, acoustic emission, and energetics.
  • Development of a theoretical model based on geometric frustration and symmetry breaking.
  • Numerical simulations and comparison with analytic formulas derived from the model.

Main Results:

  • A clear morphological transition from origami to crumpling was observed in twisted cylindrical shells.
  • The transition is linked to the frustration of geometry, leading to the breaking of rotational symmetry.
  • The developed model successfully describes the origami state with analytic formulas, outperforming numerical solutions of von Kármán-Donnell equations.
  • The model explains multiple and reversed crumpling-origami transitions in truncated cones and polygonal cylinders.

Conclusions:

  • Geometric frustration is the key mechanism driving the transition between origami and crumpling states.
  • The developed analytic model provides a powerful tool for understanding and predicting membrane shape transitions.
  • The findings have implications for designing and controlling the behavior of thin shells in various applications.