Failure Analysis of Graphene Sheets with Multiple Stone-Thrower-Wales Defects Using Molecular-Mechanics Based Nonlinear Finite Element Models

Experimental studies show that Stone-Thrower-Wales (STW) defects generally exist in graphene sheets (GSs) and these defects considerably affect the fracture strength of GSs. Thus, prediction of failure modes of GSs with STW defects is useful for design of graphene based nanomaterials. In this paper, effects of multiple STW defects on fracture behavior of GSs are investigated by employing molecular mechanics based nonlinear finite element models. The modified Morse potential is used to define the non-linear characteristic of covalent bonds between carbon atoms and geometric nonlinearity effects are considered in models. Different tilting angles of STW defects are considered in simulations. The analysis results showed that the fracture strength of GSs strongly depends on tilting angle of multiple STW defects and the STW defects cause significant strength loss in GSs. The crack initiation and propagation are also studied and brittle failure characteristics are observed for all samples. The results obtained from this study provide some insights into design of GS based-structures with multiple STW defects. INTRODUCTION

[1]  Robert C. Wolpert,et al.  A Review of the , 1985 .

[2]  D. Wales,et al.  Theoretical studies of icosahedral C60 and some related species , 1986 .

[3]  S. Sikdar,et al.  Fundamentals and applications , 1998 .

[4]  V. Crespi,et al.  Plastic Deformations of Carbon Nanotubes , 1998 .

[5]  M. Nardelli,et al.  MECHANISM OF STRAIN RELEASE IN CARBON NANOTUBES , 1998 .

[6]  M. Nardelli,et al.  Brittle and Ductile Behavior in Carbon Nanotubes , 1998 .

[7]  M. Gregory,et al.  Equivalent-Continuum Modeling of Nano-Structured Materials , 2001 .

[8]  T. Belytschko,et al.  Atomistic simulations of nanotube fracture , 2002 .

[9]  G. Schatz,et al.  Carbon nanotube fracture - differences between quantum mechanical mechanisms and those of empirical potentials , 2003 .

[10]  Chunyu Li,et al.  A STRUCTURAL MECHANICS APPROACH FOR THE ANALYSIS OF CARBON NANOTUBES , 2003 .

[11]  T. Belytschko,et al.  The role of vacancy defects and holes in the fracture of carbon nanotubes , 2004 .

[12]  S. Namilae,et al.  Local elastic properties of carbon nanotubes in the presence of Stone-Wales defects , 2004 .

[13]  C. Wang,et al.  Diffusion, coalescence, and reconstruction of vacancy defects in graphene layers. , 2005, Physical review letters.

[14]  K. Tserpes,et al.  A progressive fracture model for carbon nanotubes , 2006 .

[15]  Jannik C. Meyer,et al.  The structure of suspended graphene sheets , 2007, Nature.

[16]  G. Odegard Equivalent-Continuum Modeling of Nanostructured Materials , 2007 .

[17]  P. Papanikos,et al.  The effect of Stone–Wales defect on the tensile behavior and fracture of single-walled carbon nanotubes , 2007 .

[18]  A. Setoodeh,et al.  Finite element modeling of single-walled carbon nanotubes , 2008 .

[19]  J. Kysar,et al.  Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene , 2008, Science.

[20]  J. Gillespie,et al.  Fracture and progressive failure of defective graphene sheets and carbon nanotubes , 2009 .

[21]  L. Carr,et al.  Creation of graphene allotropes using patterned defects , 2008, 0809.3160.

[22]  F. Guinea,et al.  The electronic properties of graphene , 2007, Reviews of Modern Physics.

[23]  E. Nikitina,et al.  Quantum mechanics study of the mechanism of deformation and fracture of graphene , 2009 .

[24]  J. Gillespie,et al.  Tensile behaviors of graphene sheets and carbon nanotubes with multiple Stone–Wales defects , 2010 .

[25]  A. Krasheninnikov,et al.  Structural defects in graphene. , 2011, ACS nano.

[26]  Qiyuan He,et al.  Graphene-based materials: synthesis, characterization, properties, and applications. , 2011, Small.

[27]  R. Ansari,et al.  Fracture analysis of monolayer graphene sheets with double vacancy defects via MD simulation , 2011 .

[28]  Cengiz Baykasoglu,et al.  Nonlinear fracture analysis of single-layer graphene sheets , 2012 .

[29]  Cengiz Baykasoglu,et al.  Coupled molecular/continuum mechanical modeling of graphene sheets , 2012 .

[30]  E. Pop,et al.  Thermal properties of graphene: Fundamentals and applications , 2012, 1301.6181.

[31]  N. Hu,et al.  Effect of defects on fracture strength of graphene sheets , 2012 .

[32]  P. Chu,et al.  Stress-induced annihilation of Stone–Wales defects in graphene nanoribbons , 2012 .

[33]  Gui-Rong Liu,et al.  The Finite Element Method , 2007 .

[34]  Yongping Zheng,et al.  Mechanical properties of highly defective graphene: from brittle rupture to ductile fracture , 2013, Nanotechnology.

[35]  A. Mugan,et al.  NONLINEAR FRACTURE ANALYSIS OF CARBON NANOTUBES WITH STONE-WALES DEFECTS , 2013 .

[36]  Mesut Kirca,et al.  Nonlinear failure analysis of carbon nanotubes by using molecular-mechanics based models , 2013 .

[37]  Jian-Gang Guo,et al.  Influence of Stone–Wales defects on elastic properties of graphene nanofilms , 2013 .

[38]  B. Akgöz,et al.  Vibration analysis of micro-scaled sector shaped graphene surrounded by an elastic matrix , 2013 .

[39]  G. Cao Atomistic Studies of Mechanical Properties of Graphene , 2014 .

[40]  Siu-Siu Guo,et al.  The effect of Stone–Thrower–Wales defects on mechanical properties of graphene sheets – A molecular dynamics study , 2014 .

[41]  M. Alizadeh,et al.  A Continuum Model For Stone-wales Defected Carbon Nanotubes , 2015 .

[42]  Huajian Gao,et al.  Fracture of graphene: a review , 2015, International Journal of Fracture.

[43]  W. Choi,et al.  Graphene : Synthesis and Applications , 2016 .

[44]  M. Chhowalla Synthesis and Applications , 2016 .