One-dimensional nonlocal and gradient elasticity: Assessment of high order approximation schemes

M. Malagù, E. Benvenuti, C. A. Duarte, A. Simone

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the application and performance of high-order approximation techniques to one-dimensional nonlocal elastic rods. Governing equations and corresponding discrete forms are derived for the integro-differential formulation proposed by Eringen and the laplacian-based strain gradient formulation developed by Aifantis and coworkers. Accuracy and convergence rate of the numerical solutions obtained with Lagrange, Hermite, B-spline finite elements and C generalized finite elements are assessed against the corresponding analytical solutions.

Original languageEnglish (US)
Pages (from-to)138-158
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Volume275
DOIs
StatePublished - Jun 15 2014

Keywords

  • B-splines
  • FEM
  • Nonlocal elasticity
  • Strain gradient elasticity

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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