A shell theory with scale effects and higher order gradients - Université de Rennes Accéder directement au contenu
Article Dans Une Revue International Journal of Solids and Structures Année : 2013

A shell theory with scale effects and higher order gradients

C. Sansour
  • Fonction : Auteur
S. Skatulla
  • Fonction : Auteur

Résumé

This works follows a generalised continuum framework developed by Sansour (1998) to derive a strain gradient formulation suitable to address scale effects of structures where one dimension is very small (e.g. thin films, nano tubes etc.). Whereas a previous strain gradient approach by Sansour et al. (2009) considered the fully three-dimensional setting, the approach here proposes a shell theory which aims to run computations of thin structures more efficiently and to include scale effects. The theory features a generalised deformation description, new strain and stress measures. As consequence of these new quantities a corresponding generalised variational principle is formulated. The approach is completed by Dirichlet boundary conditions for the displacement field and its derivatives. A numerical example is presented based on a meshfree formulation which provides the necessary C-1 continuity. Crown Copyright (C) 2013 Published by Elsevier Ltd. All rights reserved.

Dates et versions

hal-01068923 , version 1 (26-09-2014)

Identifiants

Citer

C. Sansour, S. Skatulla, Mohammed Hjiaj. A shell theory with scale effects and higher order gradients. International Journal of Solids and Structures, 2013, 50 (14-15), pp.2271-2280. ⟨10.1016/j.ijsolstr.2013.03.031⟩. ⟨hal-01068923⟩
24 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More