Griffith criterion for brittle fracture in graphene.

doi:10.1021/nl5047686

Paper

DOI: 10.1021/nl5047686

Griffith criterion for brittle fracture in graphene.

Published Feb 20, 2015 · H. Yin, H. Jerry Qi, Feifei Fan

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Abstract

There are prevailing concerns with the critical dimensions when conventional theories break down. Here we find that the Griffith criterion remains valid for cracks down to 10 nm but overestimates the strength of shorter cracks. We observe the preferred crack extension along the zigzag edge in graphene, and explain this phenomenon by local strength-based failure rather than energy-based Griffith criterion. These results provide a mechanistic basis for reliable applications of graphene in miniaturized devices and nanocomposites.

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The Griffith criterion remains valid for cracks down to 10 nm in graphene, but overestimates the strength of shorter cracks, providing a mechanistic basis for reliable applications in miniaturized devices and nanocomposites.

PopulationOlder adults (50-71 years)

Sample size24

MethodsObservational

OutcomesBody Mass Index projections

ResultsSocial networks mitigate obesity in older groups.

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References

DOI: 10.1201/9781315370293

Fracture mechanics - Fundamentals and applications

This book provides a comprehensive understanding of fracture mechanics, its applications in structural design, and its impact on material behavior, aiding in the development of effective testing methods for various materials.

2017·941citations·Ted L. Anderson

DOI: 10.1038/srep05991

Inverse Pseudo Hall-Petch Relation in Polycrystalline Graphene

Polycrystalline graphene fails in a brittle mode with grain boundary junctions as crack nucleation sites, and its breaking strength and average grain size follow an inverse pseudo Hall-Petch relation, providing guidelines for flexible electronics and nano-electronic-mechanical devices.

2014·76citations·Z. Sha et al.·Scientific Reports

Scientific Reports

DOI: 10.1038/ncomms4782

Fracture toughness of graphene

The fracture toughness of graphene is measured as the critical stress intensity factor and the equivalent critical strain energy release rate, revealing its mechanical failure mechanisms.

2014·674citations·Peng Zhang et al.·Nature Communications

Nature Communications

DOI: 10.1063/1.4866415

Stable planar single-layer hexagonal silicene under tensile strain and its anomalous Poisson's ratio

Planar hexagonal silicene under tension is stable and has strong anisotropy in its Poisson's ratio, reaching 0.62 when stretched in the zigzag direction.

2014·58citations·Bao-lin Wang et al.·Applied Physics Letters

Applied Physics Letters

DOI: 10.1007/s10704-014-9931-y

Atomistic and continuum modelling of temperature-dependent fracture of graphene

Quantized fracture mechanics theory accurately predicts the fracture strength of graphene with defects at various temperatures, aiding in the design of graphene-based nanomechanical systems and composite materials.

2014·112citations·M. Dewapriya et al.·International Journal of Fracture

International Journal of Fracture

Citations

DOI: 10.1016/j.actamat.2025.120727

Nonlinear elasticity degrades monolayer fracture toughness

Short defects significantly degrade the fracture toughness of Ti 2C MXene, with nonlinear elasticity and crack driving energy playing a role in this degradation.

2025·0citations·I. Greenfeld et al.·Acta Materialia

Acta Materialia

DOI: 10.1016/j.apsusc.2024.161441

Mechanical properties of diamane: Orientation dependence of strength and fracture strain

Diamane strength and fracture strain depend on the diamane chirality, with the highest strength found at 10°, and can be controlled during tension to increase strength and strain for future applications.

2024·0citations·P. Polyakova et al.·Applied Surface Science

Applied Surface Science

DOI: 10.1021/acsami.4c10022

Fracture Mechanisms and Crack Propagation in Monolayer Ti3C2Tx under Nanoindentation: The Influence of Surface Terminations and Vacancy Defects.

Surface terminations and vacancy defects can enhance fracture toughness in monolayer MXenes without significantly affecting strength and stiffness, preventing catastrophic failure due to brittle fracture.

2024·0citations·Shenda Jiang et al.·ACS applied materials & interfaces

ACS applied materials & interfaces

DOI: 10.1002/adfm.202409839

Atomic Fracture Mechanism in Suspended 2D Transition Metal Dichalcogenides

This study reveals a novel atomic fracture pattern in suspended 2D transition metal alcogenides, offering insights for developing 2D fracture mechanics and designing devices incorporating these materials.

2024·0citations·Yinhang Ma et al.·Advanced Functional Materials

Advanced Functional Materials

DOI: 10.1016/j.matchemphys.2024.129068

Atomistic details of grain, crack, and notch effect on the mechanical behavior and fracture mechanisms of monolayer silicon carbide

Grain size and structural defects significantly impact the mechanical behavior and fracture mechanisms of single-layer silicon carbide, with circular notch defects having a more pronounced impact.

2024·1citation·A. Islam et al.·Materials Chemistry and Physics

Materials Chemistry and Physics

DOI: 10.1016/j.ijsolstr.2024.112762

Decoding the origins of strength anisotropy in two-dimensional materials

Defects in two-dimensional materials cause anisotropic strength anisotropy, with bond fracture being the atomic origin of materials failure, and understanding this mechanism may facilitate defect engineering in these materials.

2024·1citation·Guoqiang Zhang et al.·International Journal of Solids and Structures

International Journal of Solids and Structures

DOI: 10.3390/nano14060556

Effect of Strain Rate, Temperature, Vacancy, and Microcracks on Mechanical Properties of 8-16-4 Graphyne

8-16-4 graphyne's mechanical properties are influenced by temperature, vacancy concentration, and the presence of microcracks, with vacancy defects potentially initiating cracks and pre-existing microcracks altering fracture modes.

2024·6citations·Qing Peng et al.·Nanomaterials

Nanomaterials

DOI: 10.1016/j.jmps.2024.105579

Fracture Toughness of Two-Dimensional Materials Dominated by Edge Energy Anisotropy

Edge energy anisotropy in two-dimensional materials influences fracture toughness, with bifurcated cracks resulting in intrinsic toughening in hexagonal boron nitride and split cracks in graphene.

2024·3citations·Maolin Yu et al.·Journal of the Mechanics and Physics of Solids

Journal of the Mechanics and Physics of Solids