Geometrical effect 'stiffens' graphene membrane at finite vacancy concentrations

ZG Song and ZP Xu, EXTREME MECHANICS LETTERS, 6, 82-87 (2016).

DOI: 10.1016/j.eml.2015.12.010

The presence of defects not only modifies the stiffness and strength of materials, but also changes their morphologies. The latter effect is extremely significant for low-dimensional materials such as graphene. We show in this work that graphene swells while point defects such as mono- vacancies are created at finite concentrations. The distorted geometry resulted from this areal expansion, in combination with the in-plane softening effect, predicts an unusual defect concentration dependence of stiffness measured for supported graphene membrane in nanoindentation tests, which leads to a defect-induced stiffening phenomenon. The mechanism is elucidated through an analytical membrane model as well as numerical simulations at atomistic and continuum levels. In addition to elucidate the counter-intuitive observations in experiments and computer simulations, our findings also highlight the role of defect-modulated morphology engineering that can be applied to design nanoscale material and structural applications. (C) 2015 Elsevier Ltd. All rights reserved.

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