Analysis mixed-mode fracture toughness (mode I/II) of a single layer graphene sheet by finite element methods simulation
Corressponding author's email:
ng_mky@hcmute.edu.vnKeywords:
fracture of graphene, mixed mode of fracture toughness, stress intensity factor graphemeAbstract
The mode I and mode II fracture behavior of a single-layer graphene sheet (SLGS) containing a center crack was characterized with the results of an finite element method (FEM) and an analytical model. Finite element method based micromechanical analysis is used to understand the fracture behavior of functionally SLGS. The in-plane shear fracture of a cellular material was analyzed theoretically for deriving the KIC, KIICof SLGS, and FEM results were obtained. Mixed-mode fracture of armchair direction graphene sheet was studied for various angle mode I/II ratios. The effect of mixed-mode loading on the Arcan specimen was investigated, all the systems considered in this study mimic real service conditions. The mixed-mode fracture criterion was determined, and the obtained fracture envelope was in good agreement with that of another study.
Downloads: 0
References
T. Zhu, J. Li, S. Ogata and S. Yip. Mechanics of ultra-strength materials. Materials Research Society Bulletin. 34, pp. 167-172, 2009.
L.J. Gibson, M.F. Ashby. Cellular Solids: Structure and Properties. Cambridge University Press. 2nd ed, 1999.
Bin Zhang, Lanjv Mei, and Haifeng Xiao. Nanofracture in graphene under complex mechanical stresses. Applied Physics Letters. 121915, 101, 2012.
Dibakar Datta, Siva P.V. Nadimpalli, Yinfeng Li, Vivek B. Shenoy. Effect of crack length and orientation on the mixed-mode fracture behavior of graphene. Extreme Mechanics Letters. 2015.
Prasanna Thiyagasundaram, Junqiang Wang, Bhavani V. Sankar, Nagaraj K. Arakere. Fracture toughness of foams with tetrakaidecahedral unit cells using finite element based micromechanics. Engineering Fracture Mechanics. 78, pp. 1277–1288, 2011.
S. Choi and B. V. Sankar. Fracture Toughness of Carbon Foam. Journal of Composite Materials. 37, 2101, 2003.
ANSYS user’smanual, 2012.
Pei. QX, Zhang. YW,Shenoy. VB. A molecular dynamics study of the mechanical properties of hydrogen functionalized graphene. CARBON 48. 3, pp. 898-904, 2010.
Duplock E J, Scheffler M and Lindan P J D. Hallmark of Perfect Graphene. Physical Review Letters. 92(22), pp.225502-225505, 2004.
Zhou X, Zhou J and Ou-Yang Z. Strain energy and Young’s modulus of single-wall carbon nanotubes calculated from electronic energy-band theory. Physical Review B. 62, pp. 13692-13696. 2000.
Tu Z and Ou-Yang. Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on layer number. Physical Review B. 65, 233407, 2002.
Pantano A, Parks D M and Boyce MC. Mechanics of Deformation of Single- and Multi-Wall Carbon Nanotubes. Mech. Physical Solids. 52, pp. 789-821, 2004.
Konstantin N Kudin, Gustavo E Scuseria and Boris I Yakobson. C2F, BN, and C nanoshell elasticity from ab initio computations. Physical Review B. 65, 235406, 2001.
Goupalov S V. Continuum model for long-wavelength phonons in two-dimensional graphite and carbon nanotubes. Physical Review B. 71, 085420, 2005.
Reddy C D, Rajendran S and Liew K M. Equilibrium configuration and continuum elastic properties of finite sized graphene. Nanotechnology. 17, pp. 864-870, 2006.
F Scarpa, S Adhikari and A Srikantha Phani. Effective elastic mechanical properties of single layer graphene sheets. Nanotechnology. 20, 065709 (11pp), 2009.
Minh-Ky, Nguyen. Fracture analysis of single layer graphene sheets. Journal of Technical Education Science. No.35A, 2016,
Minh-Ky, Nguyen. Micromechanics Study for Fracture Behavior of Single Layer Graphene Sheet. Ulsan of University, Thesis PhD, 2013.
Banks-Sills L, Arcan M, Bortman Y. A mixed mode fracture specimen for mode II dominant deformation. Engng Fract Mech. 20(1), pp. 145–157, 1984.
Banks-Sills L, Arcan M. A compact mode II fracture specimen, fracture mechnics, ASTM STP. 905, vol. 17, pp. 347–363, 1986.
Downloads
Published
How to Cite
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright © JTE.
