Using friction force microscopy, we have investigated the frictional behavior of graphene deposited on various substrates as well as over micro-fabricated wells. Both graphene on SiO2/ Si substrates and graphene freely suspended over the wells showed a trend of increasing frictionwith decreasing number of atomic layers of graphene. However, this trend with thickness was absent for graphene depo...

A method has been proposed for developing structure-property relationships of nano-structured materials. This method serves as a link between computational chemistry and solid mechanics by substituting discrete molecular structures with equivalent-continuum models. It has been shown that this substitution may be accomplished by equating the molecular potential energy of a nano-structured materi...

Over decades, the Theoretical and Applied Mechanics (TAM) community has developed sophisticated approaches for analyzing the behavior of complex engineering systems. Most of these approaches have targeted systems in the transportation, materials, defense, and energy industries. Applying and further developing engineering approaches for understanding, predicting, and modulating the response of c...

The main objective of this paper is to develop a multiscale method for the static analysis of a nano-system, based on a combination of molecular mechanics and MLPG methods. The tangent-stiffness formulations are given for this multiscale method, as well as a pure molecular mechanics method. This method is also shown to naturally link the continuum local balance equation with molecular mechanics...

It is well known in quantum mechanics that the theory of transitions based on convergence series time-dependent perturbation theory. This converges atomic and nuclear physics. However, molecular chemical physics, this only Born–Oppenheimer adiabatic approximation due to application Franck–Condon principle, it diverges as a result going beyond principle. divergence (singularity) associated with ...

In this paper, a generalized self-consistent scheme, or “three phase model”, is used to set up a micro-mechanics model for rough surface contact with randomly distributed asperities. The dimensionless average real pressure p is obtained as function of the ratio of the real contact area to the apparent contact area, 0 / A Ar . Both elastic and plastic materials are considered, and the influence ...