Solution for a nonlocal elastic bar in tension

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

14 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)1059-1065
Journal / PublicationScience China: Physics, Mechanics and Astronomy
Volume55
Issue number6
Publication statusPublished - Jun 2012

Abstract

In this paper we use an alternative method to study analytically and numerically for a nonlocal elastic bar in tension. The equilibrium equation of the model is a Fredholm integral equation of the second kind. With the aid of an efficient iterative method, we are able to get the approximate analytical solution. For the purpose of comparisons, numerical solutions are also obtained for two types of nonlocal kernels, which show the validity of the analytical solution. The effects of some related parameters are also investigated. © 2012 Science China Press and Springer-Verlag Berlin Heidelberg.

Research Area(s)

  • Asymptotics, Integral equation, Iterative method, Nonlocal elasticity