Abstract
Orderly arrayed granular crystals exhibit extraordinary capability to tune stress wave propagation. Granular system of higher dimension renders many more stress wave patterns, showing its great potential for physical and engineering applications. At nanoscale, one-dimensionally arranged buckyball (C60) system has shown the ability to support solitary wave. In this paper, stress wave behaviors of two-dimensional buckyball (C60) lattice are investigated based on square close packing and hexagonal close packing. We show that the square close packed system supports highly directional Nesterenko solitary waves along initially excited chains and hexagonal close packed system tends to distribute the impulse and dissipates impact exponentially. Results of numerical calculations based on a two-dimensional nonlinear spring model are in a good agreement with the results of molecular dynamics simulations. This work enhances the understanding of wave properties and allows manipulations of nanoscale lattice and novel design of shock mitigation and nanoscale energy harvesting devices.
Highlights
Well as an analogue to Nesterenko solitary wave
Because of the highly directionality of scp packing modes and the dispersionless characteristics of translational solitary waves, there is potential for scp granular configuration to be applied to stress wave guidance and energy focusing etc
The agreement between the results of molecular dynamics (MD) simulations and numerical calculations is generally good, it can be observed that there appears a little discrepancy between simulations and model predictions for the velocity and acceleration curves of some selected C60 molecules and it is not surprising due to the atoms vibrating about the equilibrium positions instead of being absolutely static after stress wave passes through
Summary
Jun Xu1,2 & Bowen Zheng[1,2] received: 01 September 2016 accepted: 03 November 2016 Published: 28 November 2016. Wave properties of coherent tightly packed granular systems in 2D and 3D have been investigated, for example, 2D square packing, curved channel, Y-shaped packing and ordered granular network[43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59] Inspired by these macroscopic studies, we have carried out investigations of the counterpart system at nanoscale, and were able to show that 1D arrayed buckyball (C60) system, resembling macroscale spheres, supports strongly nonlinear Nesterenko solitary wave.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
