Fracture analysis of single-layer graphene sheets with edge crack under tension

Wang, Caihong; Han, Qiang; Xin, Dongrong

doi:10.1080/08927022.2014.880908

Cited by 7 publications

(7 citation statements)

References 31 publications

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“…6(d)-(e) where the crack speeds cannot reach the threshold value. The initial strains are smaller than the results in [8], and decrease slightly with the increase of strain rate, which is different from [8]. Critical strain e C is calculated by e C = (t k ÁDh)/(t t Áh), where t k is the time for crack kinking.…”

Section: The Characteristics Of Dynamic Fracturementioning

confidence: 99%

“…Omeltchenko et al [7] also probed the fracture velocity of graphene by MD modelling based on the Tersoff-Brenner potential. Wang et al [8] studied the fracture behaviours of single-layered graphene sheets with edge cracks under simple tension by MD, and stated that cracks propagate faster in higher strain rates. Zhao et al [9] showed that temperature has an important effect on fracture strength of graphene.…”

Section: Introductionmentioning

confidence: 99%

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Finite element modelling of the instability in rapid fracture of graphene

Zhang

Xiao

Yang

et al. 2015

Engineering Fracture Mechanics

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a b s t r a c tA finite element model of graphene strip is developed to predict the instability of dynamic fracture, in which the C-C bonds are represented by Timoshenko beam elements, and the constitutive relation of beam is derived from the atomic potential. Crack instability and branching are observed under loading strain rates from $10 À5 fs À1 to $10 À8 fs À1. Under low loading rates, the initiated midway crack propagates straight at supersonic velocity, while kinking and oscillation occur beyond a critical crack velocity $10.33 km/s under high rates. The results demonstrate that our equivalent models could provide efficient information for studying the fracture in graphene.

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Section: The Characteristics Of Dynamic Fracturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite element modelling of the instability in rapid fracture of graphene

Zhang

Xiao

Yang

et al. 2015

Engineering Fracture Mechanics

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“…Meanwhile, armchair graphene always has greater critical energy release rate than zigzag graphene, and the critical energy release rate of graphene decreases with increment of temperature [45]. Besides, the increase of temperature and crack length can lead to the reduction of fracture strength [42,[45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

“…Based on experiment and modeling, Zhang et al [50] found that the strength of large-area graphene should be determined by its fracture toughness, rather than intrinsic strength. Le et al [47][48][49] found that either the fracture strain or the crack propagation speed of the graphene with shorter initial crack is larger than that of the ones with longer initial crack in pre-cracked graphene. While in pre-strained graphene sheets, crack propagation speed is independent of the length, location and number of inserted crack.…”

Section: Introductionmentioning

confidence: 99%

Investigation on fracture of pre-cracked single-layer graphene sheets

Liu

Bie

Wang

et al. 2019

Computational Materials Science

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Peridynamics (PD) is employed to model the fracture of pre-cracked graphene sheets under mode-I loading condition to show its application at nanoscale. Then the related mechanisms at atomic scale are revealed by using molecular dynamics (MD) simulation, with which the mechanical properties and fracture mechanisms of full atomistic pre-cracked single-layer graphene sheets (SLGSs) with different types of crack tip micro-structures are investigated. The results such as the fracture forms obtained from the PD and MD simulations show good consistency. The MD results show that different crack tip structures have distinct effect on the mechanical properties of graphene sheets. The pre-cracked SLGSs with ω-type crack tip show higher fracture strength and strain than the ones with u-type crack tip. For the pre-cracked SLGSs with u-type crack tip, the fracture strength and strain of the armchair sheet are higher than the zigzag one. However, there are almost no differences for the armchair and zigzag sheets with ω-type crack tip. Due to the difference between armchair and zigzag structures, carbon polygon ring can form in armchair sheets and its formation is related to the crack tip structures and the crack width. In addition, the crack propagation can be characterized by the local stress state, which for crack initiation is different from steady crack propagation.

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“…Budarapu et al, 16 based on MD simulations, studied the crack propagation mechanisms in an initially cracked graphene lattice structure taking into consideration the temperature effect. Finally, Wang et al 17 examined the fracture of single-layered graphene sheets with edge crack under simple tension using MD dynamics simulations and analyzed the variations in fracture strength with crack length, strain rate and temperature.…”

Section: Introductionmentioning

confidence: 99%

Tensile strength of graphene versus temperature and crack size: Analytical expressions from molecular dynamics simulation data

Giannopoulos

Avntoulla

2017

Proceedings of the Institution of Mechanical Engineers, Part N:

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Graphene, the strongest known material, is significantly influenced by the loading conditions, the environmental temperature and the existence of internal imperfections and discontinuities such as cracks. Higher temperatures lead to higher atomic kinetic energies and easier failure of graphene while even a one atom vacancy may cause a dramatic reduction in its strength. The aim of the present study is to describe analytical expressions which associate the tensile strength of the monolayer graphene with the temperature and the length of a possible centrally positioned, straight crack. For this reason, molecular dynamics simulations are conducted to compute all the necessary numerical data. Then special equations are developed by fitting the computed data into appropriate non-linear regression surfaces. The proposed non-linear analytical equations are capable of straightforwardly predicting the strength of graphene given the chirality, the temperature and the size of the center crack under investigation.

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Fracture analysis of single-layer graphene sheets with edge crack under tension

Cited by 7 publications

References 31 publications

Finite element modelling of the instability in rapid fracture of graphene

Finite element modelling of the instability in rapid fracture of graphene

Investigation on fracture of pre-cracked single-layer graphene sheets

Tensile strength of graphene versus temperature and crack size: Analytical expressions from molecular dynamics simulation data

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