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Hexagonal layered crystalline materials, such as graphene, boron nitride,tungsten sulfate, and so on, have attracted enormous attentions, due to theirunique combination of atomistic structures and superior thermal, mechanical,and physical properties. Making use of mechanical buckling is a promising routeto control their structural morphology and thus tune their physical properties,giving rise to many novel applications. In this paper, we employ finite elementanalysis (FEA), molecular dynamic (MD) simulations and continuum modeling tostudy the mechanical buckling of a column made of layered crystalline materialswith the crystal layers parallel to the longitudinal axis. It is found that themechanical buckling exhibits a gradual transition from a bending mode to ashear mode of instability with the reduction of slenderness ratio. As theslenderness ratio approaches to zero, the critical buckling strain {\epsilon}crconverges to a finite value that is much smaller than the material's mechanicalstrength, indicating that it is realizable under appropriate experimentalconditions. Such a mechanical buckling mode is anomalous and counter-intuitive.The critical buckling strain {\epsilon}cr predicted by our continuum mechanicsmodel agrees very well with the results from the FEA and MD simulations for agroup of typical hexagonal layered crystalline materials. MD simulations ongraphite indicate the continuum mechanics model is applicable down to a scaleof 20 nm. This theoretical model also reveals that a high degree of elasticanisotropy is the origin for the anomalous mechanical buckling of a column madeof layered crystalline materials in the absence of structural slenderness. Thisstudy provides avenues for engineering layered crystalline materials in variousnano-materials and nano-devices via mechanical buckling.

Anomalous elastic buckling of hexagonal layered crystalline materials in the absence of structure slenderness