INTEGRAL APPROACH FOR TIME DEPENDENT MATERIALS USING FINITE ELEMENT METHOD - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Theorical and Applied Mechanics Année : 2011

INTEGRAL APPROACH FOR TIME DEPENDENT MATERIALS USING FINITE ELEMENT METHOD

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

Résumé

In this work, we present the development of a mathematical approach for the solution of linear, non-ageing viscoelastic materials undergoing mechanical deformation. We use an integral approach based on a discrete spectrum representation for the creep tensor in order to derive the incremental viscoelastic formulation. Integral operators are discretized using finite difference techniques. The incremental viscoelastic consti-tutive model contains an internal state variable which represents the influence of the whole past history of stress and strain, thus the difficulty of retaining the stress-strain history in numerical solutions is avoided. A complete general formulation of linear viscoelastic stress-strain analysis is developed in terms of increments of stresses and strains. Numerical simulations are included in order to validate the incremental constitutive equations.
Fichier principal
Vignette du fichier
MoutouPitti_JTAM_2011.pdf (446.82 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01616904 , version 1 (15-10-2017)

Identifiants

  • HAL Id : hal-01616904 , version 1

Citer

Claude Chazal, Rostand Moutou Pitti. INTEGRAL APPROACH FOR TIME DEPENDENT MATERIALS USING FINITE ELEMENT METHOD. Journal of Theorical and Applied Mechanics, 2011, 49, pp.1029 - 1048. ⟨hal-01616904⟩
101 Consultations
688 Téléchargements

Partager

Gmail Facebook X LinkedIn More