Folding pathways to crumpling in thermalized elastic frames

D. Yllanes; D. R. Nelson; M. J. Bowick

doi:10.1103/physreve.100.042112

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arXiv · 1907.01010

Folding pathways to crumpling in thermalized elastic frames

D. Yllanes·D. R. Nelson·M. J. Bowick

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Abstract

The mechanical properties of thermally excited two-dimensional crystalline membranes can depend dramatically on their geometry and topology. A particularly relevant example is the effect on the crumpling transition of holes in the membrane. Here we use molecular dynamics simulations to study the case of elastic frames (sheets with a single large hole in the center) and find that the system approaches the crumpled phase through a sequence of origami-like folds at decreasing length scales when temperature is increased. We use normal-normal correlation functions to quantify the temperature-dependent number of folds.

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BibTeX RIS

D. Yllanes, D. R. Nelson, M. J. Bowick. 2019-07-01. Folding pathways to crumpling in thermalized elastic frames. https://doi.org/10.1103/physreve.100.042112

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