Buckling Analysis of Single-Layer Graphene Sheets Using Molecular Mechanics

Abstract

The paper presents a nonlinear buckling analysis of single-layer graphene sheets using a molecular mechanics model which accounts for binary, ternary, and quaternary interactions between the atoms. They are described using a geometrically exact setting and by the introduction of Morse and cosine potential functions, equipped with an appropriate set of parameters. We examine the critical and post-critical behaviors of graphene, under compression in the zigzag and in the armchair directions, and shear. Our findings show the suitability of standard thin-plates theory for the prediction of simple critical behaviors under various edge constraint conditions.

Recent trends in computational tools and data-driven modeling for advanced materials

“…77 A MM model helped analyze single layer graphene sheets taking into consideration binary, ternary and quaternary interactions between the atoms: by solving the equilibrium equations of the atomistic system through the arc-length strategy, the critical and post-critical behavior of graphene under compression in zigzag and armchair directions and shear was highlighted. 78 In another MM model, the equilibrium paths and critical behavior are shown in comparison with available solutions for thin plates. 79 MM nanostructure modeling has been widely applied.…”

Stability, Stress and Strain Analysis of Very Slender Pinned Thin-Walled Box Columns according to FEM, Euler and TSTh

“…Single-layer graphene sheets have been examined in (Genoese et al, 2019), while polymer-confined concrete columns have been discussed in (Liang et al, 2012) and hyperelastic tubes are analyzed by (Liu, 2018).…”

Technical Stability of Very Slender Rectangular Columns Compressed by Ball-And-Socket Joints without Friction

“…Single-layer graphene sheets have been examined in (Genoese et al, 2019), while polymer-confined concrete columns have been discussed in (Liang et al, 2012) and hyperelastic tubes are analyzed by (Liu, 2018). Many other research contributions have been then related to the stability issues of a multitude of loadbearing systems and members can be found in the literature, including plates (Sabouri-Ghomi et al, 2008;Rao and Ra, 2009;Xu et al, 2013;Moradi-Dastjerdi and Malek-Mohammadi, 2017;Riahi et al, 2018;Vu et al, 2019) and nanoplates (Malikan et al, 2018), bracing systems (Rahnavard et al, 2018), tubes (Nouri et al, 2015;Mozafari et al, 2018;Naveed et al, 2017;Sadath et al, 2017;Sun et al, 2018), frames (Marante et al, 2012;Slimani et al, 2018), pipes (Lolov and Lilkova-Markova, 2005;Melissianos et al, 2017;Moustabchir et al, 2018;Psyrras et al, 2019), or Functionally Graded Material (FGM) structures (Moita et al, 2018;Kiss, 2019;Singh and Harsha, 2019), etc.…”