On the bending and stability of nanowire using various HSDTs

Djamel Ould Youcef , Abdelhakim Kaci , Mohammed Sid Ahmed Houari , Abdelouahed Tounsi , Abdelnour Benzair , Houari Heireche

Abstract

In this article, various higher-order shear deformation theories (HSDTs) are developed for bending and buckling behaviors of nanowires including surface stress effects. The most important assumption used in different proposed beam theories is that the deflection consists of bending and shear components and thus the theories have the potential to be utilized for modeling of the surface stress influences on nanowires problems. Numerical results are illustrated to prove the difference between the response of the nanowires predicted by the classical and non-classical solutions which depends on the magnitudes of the surface elastic constants.

Key Words

surface effects; nanowires; bending; buckling

Address

Djamel Ould Youcef, Abdelhakim Kaci — Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Université de Sidi Bel Abbes, Algeria
Mohammed Sid Ahmed Houari — Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Département de Genie Civil, Algeria
Abdelouahed Tounsi — Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Université de Sidi Bel Abbes, Algeria; Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Département de Genie Civil, Algeria; Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Abdelnour Benzair and Houari Heireche — Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Université de Sidi Bel Abbes, Algeria

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