Definitive engineering strength and fracture toughness of graphene through on-chip nanomechanics.

Jaddi, Sahar; Malik, M Wasil; Wang, Bin; Pugno, Nicola M; Zeng, Yun; Coulombier, Michael; Raskin, Jean-Pierre; Pardoen, Thomas · Nat Commun · 2024

basic_science · Level V

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Abstract

Fail-safe design of devices requires robust integrity assessment procedures which are still absent for 2D materials, hence affecting transfer to applications. Here, a combined on-chip tension and cracking method, and associated data reduction scheme have been developed to determine the fracture toughness and strength of monolayer-monodomain-freestanding graphene. Myriads of specimens are generated providing statistical data. The crack arrest tests provide a definitive fracture toughness of 4.4 MPa <math xmlns="http://www.w3.org/1998/Math/MathML"> <msqrt><mrow><mi>m</mi></mrow> </msqrt> </math> . Tension on-chip provides Young's modulus of 950 GPa, fracture strain of 11%, and tensile strength up to 110 GPa, reaching a record of stored elastic energy ~6 GJ m<sup>-3</sup> as confirmed by thermodynamics and quantized fracture mechanics. A ~ 1.4 nm crack size is often found responsible for graphene failure, connected to 5-7 pair defects. Micron-sized graphene membranes and smaller can be produced defect-free, and design rules can be based on 110 GPa strength. For larger areas, a fail-safe design should be based on a maximum 57 GPa strength.