A modulus gradient model for an axially loaded inhomogeneous elastic rod

Gulasuk H., Göktepe S., Gürses E.

MECCANICA, vol.53, pp.2573-2584, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53
  • Publication Date: 2018
  • Doi Number: 10.1007/s11012-018-0845-z
  • Journal Name: MECCANICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2573-2584
  • Middle East Technical University Affiliated: Yes

Abstract

A new gradient elasticity formulation is proposed for a one-dimensional linear elastic inhomogeneous rod. In the new formulation, similar to the differential relation between the local strain and the gradient enhanced strain in the classical models of gradient elasticity, a differential relation is proposed for the Young's modulus. Analytical and finite element solutions of the proposed formulation are derived. Results of the proposed model are compared with a classical model of gradient elasticity for a model problem of carbon nanotube reinforced polymer composite.