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Interaction and Multiscale Mechanics
  Volume 3, Number 3, September 2010, pages 267-276
open access

Nonlocal finite element modeling of the tribological behavior of nano-structured materials
F.F. Mahmoud and E.I. Meletis

    A nonlocal finite element model is developed for solving elasto-static frictional contact problems of nanostructures and nanoscale devices. A two dimensional Eringen-type nonlocal elasticity model is adopted. The material is characterized by a stress-strain constitutive relation of a convolution integral form whose kernel is capable to take into account both the diffusion process of nonlocal elasticity and the scale ratio effects. The incremental convex programming procedure is exploited as a solver. Two examples of different nature are presented, the first one presents the behavior of a nanoscale contacting system and the second example discusses the nano-indentation problem.
Key Words
    nonlocal finite element; nano-structured materials; nano-indentation; contact mechanics.
F.F. Mahmoud and E.I. Meletis: Dept. of Material Science and Engineering, UT Arlington, Texas, USA

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