, Volume 5, Issue 7, pp 1236-1239,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 15 May 2010

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 Young’s modulus and square of the pre-strain of the membrane.