Related Experiment Video
Updated: May 18, 2026
07:48
Artificial Thermal Ageing of Polyester Reinforced and Polyvinyl Chloride Coated Technical Fabric
Published on: January 29, 2020
Nonperturbative model for wrinkling in highly bendable sheets
B Davidovitch1, R D Schroll, E Cerda
1Physics Department, University of Massachusetts, Amherst, Massachusetts 01003, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Wrinkled thin films exhibit continuous wrinkle growth beyond buckling. A new model reveals anomalous scaling of wrinkle number and an invariant quantity governing wrinkle evolution.
Area of Science:
- Materials Science
- Solid Mechanics
- Physics of Thin Films
Background:
- Thin film geometry changes significantly when applied stress surpasses the buckling threshold.
- Existing models often use post-buckling approaches, which may not apply to highly bendable sheets.
Purpose of the Study:
- To derive and analyze a minimal, nonperturbative equation set for radial wrinkle evolution in axisymmetric geometry.
- To describe wrinkle growth from the buckling threshold to the far-from-threshold regime.
Main Methods:
- Derivation of a minimal, nonperturbative set of equations.
- Numerical analysis of the derived model for wrinkle evolution.
Main Results:
- The number of wrinkles shows anomalous scaling with sheet thickness and applied load, differing from prior predictions.
- An invariant quantity was identified that characterizes the coupled variation of wrinkle amplitude and number.
Conclusions:
- The derived model offers a novel description of wrinkle growth in thin films, distinct from traditional post-buckling methods.
- The findings suggest new scaling laws and a conserved characteristic for wrinkle development in bendable sheets.
Related Concept Videos
01:18Residual Stresses in Bending
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
01:19Members Made of Elastoplastic Material
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
As the bending moment...
01:21Plastic Behavior
A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and reloaded.
01:10Bending
Pure bending is a fundamental concept in structural mechanics, essential for understanding how materials deform under symmetrical loads without direct forces. Pure bending occurs when prismatic members, such as beams, are subjected to equal and opposite moments that induce bending. The phenomenon is crucial as it allows for predicting stress distributions without the influence of axial or shear forces.
In pure bending, the bending stress in a beam is calculated based on the bending moment and...
In pure bending, the bending stress in a beam is calculated based on the bending moment and...
01:14Plastic Deformations
It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
01:19Plastic Deformations
Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their original...