Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene

Published on Jul 18, 2008in Science47.728
· DOI :10.1126/SCIENCE.1157996
Changgu Lee51
Estimated H-index: 51
(Columbia University),
Xiaoding Wei25
Estimated H-index: 25
(Columbia University)
+ 1 AuthorsJames Hone131
Estimated H-index: 131
(Columbia University)
Sources
Abstract
We measured the elastic properties and intrinsic breaking strength of free-standing monolayer graphene membranes by nanoindentation in an atomic force microscope. The force-displacement behavior is interpreted within a framework of nonlinear elastic stress-strain response, and yields second- and third-order elastic stiffnesses of 340 newtons per meter (N m –1 ) and –690 Nm –1 , respectively. The breaking strength is 42 N m –1 and represents the intrinsic strength of a defect-free sheet. These quantities correspond to a Young9s modulus of E = 1.0 terapascals, third-order elastic stiffness of D = –2.0 terapascals, and intrinsic strength of σ int = 130 gigapascals for bulk graphite. These experiments establish graphene as the strongest material ever measured, and show that atomically perfect nanoscale materials can be mechanically tested to deformations well beyond the linear regime.
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References29
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We have measured the mechanical properties of few-layer graphene and graphite flakes that are suspended over circular holes. The spatial profile of the flake’s spring constant is measured with an atomic force microscope. The bending rigidity of and the tension in the membranes are extracted by fitting a continuum model to the data. For flakes down to eight graphene layers, both parameters show a strong thickness dependence. We predict fundamental resonance frequencies of these nanodrums in the g...
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We have measured the mechanical properties of few-layer graphene and graphite flakes that are suspended over circular holes. The spatial profile of the flake's spring constant is measured with an atomic force microscope. The bending rigidity of and the tension in the membranes are extracted by fitting a continuum model to the data. For flakes down to eight graphene layers, both parameters show a strong thickness-dependence. We predict fundamental resonance frequencies of these nanodrums in the G...
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