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Reversibility of crumpling on compressed thin sheets

Overview of attention for article published in The European Physical Journal E, April 2014
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  • Above-average Attention Score compared to outputs of the same age and source (63rd percentile)

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Title
Reversibility of crumpling on compressed thin sheets
Published in
The European Physical Journal E, April 2014
DOI 10.1140/epje/i2014-14028-y
Pubmed ID
Authors

Alain Pocheau, Benoit Roman

Abstract

Compressing thin sheets usually yields the formation of singularities which focus curvature and stretching on points or lines. In particular, following the common experience of crumpled paper where a paper sheet is crushed in a paper ball, one might guess that elastic singularities should be the rule beyond some compression level. In contrast, we show here that, somewhat surprisingly, compressing a sheet between cylinders make singularities spontaneously disappear at large compression. This "stress defocusing" phenomenon is qualitatively explained from scale-invariance and further linked to a criterion based on a balance between stretching and curvature energies on defocused states. This criterion is made quantitative using the scalings relevant to sheet elasticity and compared to experiment. These results are synthesized in a phase diagram completed with plastic transitions and buckling saturation. They provide a renewed vision of elastic singularities as a thermodynamic condensed phase where stress is focused, in competition with a regular diluted phase where stress is defocused. The physical differences between phases is emphasized by determining experimentally the mechanical response when stress is focused or defocused and by recovering the corresponding scaling laws. In this phase diagram, different compression routes may be followed by constraining differently the two principal curvatures of a sheet. As evidenced here, this may provide an efficient way of compressing a sheet that avoids the occurrence of plastic damages by inducing a spontaneous regularization of geometry and stress.

X Demographics

X Demographics

The data shown below were collected from the profiles of 2 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 11 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 9%
Unknown 10 91%

Demographic breakdown

Readers by professional status Count As %
Student > Bachelor 3 27%
Student > Ph. D. Student 2 18%
Researcher 2 18%
Student > Doctoral Student 1 9%
Other 1 9%
Other 1 9%
Unknown 1 9%
Readers by discipline Count As %
Engineering 5 45%
Physics and Astronomy 3 27%
Chemistry 1 9%
Agricultural and Biological Sciences 1 9%
Unknown 1 9%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 2. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 31 May 2014.
All research outputs
#15,158,251
of 23,498,099 outputs
Outputs from The European Physical Journal E
#365
of 650 outputs
Outputs of similar age
#128,036
of 228,419 outputs
Outputs of similar age from The European Physical Journal E
#4
of 11 outputs
Altmetric has tracked 23,498,099 research outputs across all sources so far. This one is in the 34th percentile – i.e., 34% of other outputs scored the same or lower than it.
So far Altmetric has tracked 650 research outputs from this source. They typically receive more attention than average, with a mean Attention Score of 8.0. This one is in the 43rd percentile – i.e., 43% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 228,419 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 43rd percentile – i.e., 43% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 11 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 63% of its contemporaries.