Solution for a nonlocal elastic bar in tension
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Related Research Unit(s)
|Journal / Publication||Science China: Physics, Mechanics and Astronomy|
|Publication status||Published - Jun 2012|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-84863783293&origin=recordpage|
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.
- Asymptotics, Integral equation, Iterative method, Nonlocal elasticity