Nanoindentation of a circular sheet of bilayer graphene

TL;DR

This study uses molecular dynamics simulations to analyze the mechanical response of bilayer graphene under nanoindentation, comparing it with elasticity theory and monolayer graphene, revealing temperature-dependent variations in Young's modulus.

Contribution

It provides a detailed molecular dynamics analysis of bilayer graphene's nanoindentation behavior and compares it with elasticity theory and monolayer graphene, highlighting temperature effects.

Findings

Young's modulus of bilayer graphene is approximately 0.8 TPa.

Bilayer graphene's Young's modulus decreases by 14% at low temperature.

Force deflection behavior aligns with nonlinear elasticity theory.

Abstract

Nanoindentation of bilayer graphene is studied using molecular dynamics simulations. We compared our simulation results with those from elasticity theory as based on the nonlinear F\"{o}ppl-Hencky equations with rigid boundary condition. The force deflection values of bilayer graphene are compered to those of monolayer graphene. Young's modulus of bilayer graphene is estimated to be 0.8 TPa which is close to the value for graphite. Moreover, an almost flat bilayer membrane at low temperature under central load has a 14$%$ smaller Young's modulus as compared to the one at room temperature.