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 Young's modulus and square of the pre-strain of the membrane.
authors.affiliation: Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, 14853, USA. rl267@cornell.edu.
authors.forename: Rong
authors.initials: R
authors.lastname: Long
authors.forename: Chung-Yuen
authors.initials: CY
authors.lastname: Hui
authors.forename: Wenlong
authors.initials: W
authors.lastname: Cheng
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Campolongo
authors.forename: Dan
authors.initials: D
authors.lastname: Luo