Exact solution of Eringen's nonlocal integral model for bending of Euler-Bernoulli and Timoshenko beams

Tuna M., Kırca M.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.105, pp.80-92, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 105
  • Publication Date: 2016
  • Doi Number: 10.1016/j.ijengsci.2016.05.001
  • Journal Name: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.80-92
  • Keywords: Nonlocal elasticity, Eringen integral model, Laplace transform, Beam theory, Bending, Exact solution, VIBRATION ANALYSIS, ELASTICITY, FORMULATION, CONTINUUM, NANOBEAMS, MECHANICS
  • Istanbul Technical University Affiliated: Yes

Abstract

Despite its popularity, differential form of Eringen nonlocal model leads to some inconsistencies that have been demonstrated recently for the cantilever beams by showing the differences between the integral and differential forms of the nonlocal equation, which indicates the importance and necessity of using the original integral model.