ArticleNature communications2021
A model for the fragmentation kinetics of crumpled thin sheets.
Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 8 papers.
What it found
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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
8 citing papers in PubMed.
- Smaller is stronger: topological load-bearing of crumpled 2D macromolecule.National science review · 2026Article
- Aging of amorphous materials under cyclic strain.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Cilia-driven epithelial folding and unfolding in an early diverging animal.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Article
- A bipolar taxonomy of adult human brain sulcal morphology related to timing of fetal sulcation and trans-sulcal gene expression gradients.bioRxiv : the preprint server for biology · 2023Article
- Scaling behaviour and control of nuclear wrinkling.Nature physics · 2023Article
- Memory from coupled instabilities in unfolded crumpled sheets.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- A model for the fragmentation kinetics of crumpled thin sheets.Nature communications · 2021Article
Corrections and comments
- Erratum issued
Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
As a confined thin sheet crumples, it spontaneously segments into flat facets delimited by a network of ridges. Despite the apparent disorder of this process, statistical properties of crumpled sheets exhibit striking reproducibility. Experiments have shown that the total crease length accrues logarithmically when repeatedly compacting and unfolding a sheet of paper. Here, we offer insight to this unexpected result by exploring the correspondence between crumpling and fragmentation processes. We identify a physical model for the evolution of facet area and ridge length distributions of crumpled sheets, and propose a mechanism for re-fragmentation driven by geometric frustration. This mechanism establishes a feedback loop in which the facet size distribution informs the subsequent rate of fragmentation under repeated confinement, thereby producing a new size distribution. We then demonstrate the capacity of this model to reproduce the characteristic logarithmic scaling of total crease length, thereby supplying a missing physical basis for the observed phenomenon.
Identifiers
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.