An Incremental formulation for the linear analysis of viscoelastic beams: Relaxation differential approach using generalized variables - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2011

An Incremental formulation for the linear analysis of viscoelastic beams: Relaxation differential approach using generalized variables

Claude Chazal
  • Fonction : Auteur
  • PersonId : 912740
Rostand Moutou Pitti
Alaa Chateauneuf

Résumé

This paper is concerned with the development of a new incremental formulation in the time domain for linear, non-aging viscoelastic materials undergoing mechanical deformation. The formulation is derived from linear differential equations based on a discrete spectrum representation for the relaxation function. The incremental constitutive equations are then obtained by finite difference integration. Thus the difficulty of retaining the stress history in computer solutions is avoided. The influence of the whole past history on the behaviour at any time is given by a pseudo second order tensor. A complete general formulation of linear viscoelastic stress analysis is developed in terms of increments of midsurface strains and curvatures and corresponding stress resultants. The generality allowed by this approach has been established by finding incremental formulation through simple choices of the tensor relaxation components. This approach appears to open a wide horizon (to explore) of new incremental formulations according to particular relaxation components. Remarkable incremental constitutive laws, for which the above technique is applied, are given. This formulation is introduced in a finite element discretization in order to resolve complex boundary viscoelastic problems.
Fichier principal
Vignette du fichier
10.1007-978-1-4614-0213-8_33.pdf (1000.96 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01616926 , version 1 (15-10-2017)

Identifiants

Citer

Claude Chazal, Rostand Moutou Pitti, Alaa Chateauneuf. An Incremental formulation for the linear analysis of viscoelastic beams: Relaxation differential approach using generalized variables. Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials,Proceedings of the 2011 Annual Conference on Experimental and Applied Mechanics, 3, pp 231-238, 2011, ⟨10.1007/978-1-4614-0213-8_33⟩. ⟨hal-01616926⟩
55 Consultations
76 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More