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

Rong Long; Chung-Yuen Hui; Wenlong Cheng; Michael J Campolongo; Dan Luo

doi:10.1007/s11671-010-9625-y

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

Rong Long, Chung-Yuen Hui, Wenlong Cheng, Michael J Campolongo, Dan Luo

Chemical Engineering

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

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 Younga??s modulus and square of the pre-strain of the membrane.

Original language	English
Pages (from-to)	1 - 4
Number of pages	3
Journal	Nanoscale Research Letters
Issue number	7
DOIs	https://doi.org/10.1007/s11671-010-9625-y
Publication status	Published - 2010

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10.1007/s11671-010-9625-y

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Cite this

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title = "Size Effect on Failure of Pre-stretched Free-Standing Nanomembranes",

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 Younga??s modulus and square of the pre-strain of the membrane.",

author = "Rong Long and Chung-Yuen Hui and Wenlong Cheng and Campolongo, {Michael J} and Dan Luo",

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AU - Long, Rong

AU - Hui, Chung-Yuen

AU - Cheng, Wenlong

AU - Campolongo, Michael J

AU - Luo, Dan

PY - 2010

Y1 - 2010

N2 - 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 Younga??s modulus and square of the pre-strain of the membrane.

AB - 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 Younga??s modulus and square of the pre-strain of the membrane.

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