Nano Perspectives

Nanoscale Research Letters

, Volume 5, Issue 7, pp 1236-1239

Open Access This content is freely available online to anyone, anywhere at any time.

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

  • Rong LongAffiliated withSibley School of Mechanical and Aerospace Engineering, Cornell University Email author 
  • , Chung-Yuen HuiAffiliated withSibley School of Mechanical and Aerospace Engineering, Cornell University
  • , Wenlong ChengAffiliated withDepartment of Chemical Engineering, Monash University
  • , Michael J. CampolongoAffiliated withDepartmen of Biological and Environmental Engineering, Cornell University
  • , Dan LuoAffiliated withDepartmen of Biological and Environmental Engineering, Cornell University

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.

Keywords

Free standing membrane Pre-stretch Size effect Energy release rate