Carry over matrix for nonlocal beams on an elastic foundation with application in nanotechnology

Artan R., Tepe A.

Journal of Computational and Theoretical Nanoscience, vol.6, no.7, pp.1585-1590, 2009 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 7
  • Publication Date: 2009
  • Doi Number: 10.1166/jctn.2009.1216
  • Journal Name: Journal of Computational and Theoretical Nanoscience
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1585-1590
  • Keywords: Nonlocal Elasticity, Beam on an Elastic Foundation, Nanotechnology, Initial Values Method, Carry Over Matrix
  • İstanbul Ticaret University Affiliated: No

Abstract

In this work, the stress resultants and displacements in a bar on an elastic half plane are calculated by using the method of initial values within the framework of nonlocal elasticity. The principal matrix required for the applicability of the method of initial values is presented. An example is solved. As is well-known that nanotechnology is the engineering of functional systems at the molecular scale. The results are used to display that nonlocal effects could be significant in nanotechnology. Copyright © 2009 American Scientific Publishers All rights reserved.