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Size Effect on Failure of Pre-stretched Free-Standing Nanomembranes

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Author(s): Long Rong | Hui Chung-Yuen | Cheng Wenlong | Campolongo Michael | Luo Dan

Journal: Nanoscale Research Letters
ISSN 1931-7573

Volume: 5;
Issue: 7;
Start page: 1236;
Date: 2010;
Original page

Keywords: Free standing membrane | Pre-stretch | Size effect | Energy release rate

ABSTRACT
Abstract Free-standing nanomembranes are two-dimensional materials with nanometer thickness but can have macroscopic lateral dimensions. We develop a fracture model to evaluate a pre-stretched free standing circular ultrathin nanomembrane and establish a relation between the energy release rate of a circumferential interface crack and the pre-strain in the membrane. Our results demonstrate that detachment cannot occur when the radius of the membrane is smaller than a critical size. This critical radius is inversely proportional to the Young’s modulus and square of the pre-strain of the membrane.

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