Diameter-dependent elastic properties of carbon nanotube-polymer composites: Emergence of size effects from atomistic-scale simulations

We propose a computational procedure to assess size effects in nonfunctionalized single-walled carbon nanotube (CNT)-polymer composites. The procedure upscales results obtained with atomistic simulations on a composite unit cell with one CNT to an equivalent continuum composite model with a large number of CNTs. Molecular dynamics simulations...

One-dimensional nonlocal elasticity for tensile single-walled carbon nanotubes: A molecular structural mechanics characterization

Benchmarking high order finite element approximations for one-dimensional boundary layer problems

In this article we investigate the application of high order approximation techniques to one-dimensional boundary layer problems. In particular, we use second order differential equations and coupled second order differential equations as case studies. The accuracy and convergence rate of numerical solutions obtained with Lagrange, Hermite, B...

Finite element and b-spline methods for one-dimensional non-local elasticity

Non-local elasticity theories have been intensively applied to a wide range of problems in physics and applied mechanics. Most applications are based either on the integrodifferential constitutive Icm proposed by Eringen or on the gradient constitutive law developed by Aifantis and co-workers. In this work, M>e study a one-dimensional non-local...

A strain gradient approach to the analysis of nanoarches: Formulation and numerical solution with NURBS interpolation

Size effects observed in the mechanical behavior of micro- and nanostructures cannot be modeled by means of classical continuum mechanics. Enhanced continuum models based on nonlocal integro-differential or higher-order differential formulations have shown, on the contrary, that size effect can be modeled when appropriate modifications to the...