Please use this identifier to cite or link to this item: https://doi.org/10.4028/www.scientific.net/AMR.645.396
Title: Appropriate boundary conditions for nonlocal elastic beams
Authors: Xu, S.-P.
Xu, M.-R.
Wang, C.-M. 
Keywords: Asymptotic expansion method
Boundary conditions
Decaying analysis technique
General solution
Nonlocal elastic beam
Regular state
Issue Date: 2013
Source: Xu, S.-P., Xu, M.-R., Wang, C.-M. (2013). Appropriate boundary conditions for nonlocal elastic beams. Advanced Materials Research 645 : 396-404. ScholarBank@NUS Repository. https://doi.org/10.4028/www.scientific.net/AMR.645.396
Abstract: This study is concerned with the boundary conditions of elastic beams within the framework of nonlocal elasticity theory. The general solutions of the plane stress problem are, firstly, discussed. Through which and by employing the decaying analysis technique proposed by Gregory and Wan, a set of necessary conditions on the edge-data, other than the pure displacement one, for the existence of a decaying solution are formulated. A novel method in constructing the auxiliary regular state is also demonstrated, which is different from that we used before. Finally, the appropriate boundary conditions for the interior solution are obtained, which are not altered by the nonlocal parameter and take the form as these for their local elastic counterparts. © (2013) Trans Tech Publications, Switzerland.
Source Title: Advanced Materials Research
URI: http://scholarbank.nus.edu.sg/handle/10635/91276
ISBN: 9783037856048
ISSN: 10226680
DOI: 10.4028/www.scientific.net/AMR.645.396
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

57
checked on Mar 10, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.