On a distributed derivative model of a viscoelastic body

Teodor M. Atanackovic

doi:10.1016/j.crme.2003.08.003

On a distributed derivative model of a viscoelastic body

Presented by: André Zaoui

Teodor M. Atanackovic ¹

¹ Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Serbia and Montenegro

Comptes Rendus. Mécanique, Volume 331 (2003) no. 10, pp. 687-692.

Abstract
Résumé

We study a viscoelastic body, in a linear stress state with fractional derivative type of dissipation. The model was formulated so that it takes into account, with a weighting factor, all derivatives of stress and strain between zero and one. We derive restrictions on the model that follow from Clausius–Duhem inequality. Several known constitutive equations are derived as special cases of the model proposed here. Two examples are discussed.

Nous étudions un corps viscoélastique dans un état de tension linéaire avec une sorte dissipation à la derivée fractionnelle. Le model a été formulé de façon à ce qu'il prenne en compte, avec le facteur de poids, toutes les derivées de la tension et des déformations entre zéro et un. Nous dérivons des restrictions posées sur le model qui suivent de l'inégalite de Clausius–Duhem. Plusieurs équations constitutives connues sont derivées comme les cas spéciaux du model proposé ici. Deux examples sont discutées.

Received: 2003-05-27
Accepted: 2003-08-27
Published online: 2003-10-01

DOI: 10.1016/j.crme.2003.08.003

Keywords: Solids and structures, Fractional derivative
Mots-clés : Solides et structures, Dérivé fractionnaire

Author's affiliations:

Teodor M. Atanackovic ¹

¹ Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Serbia and Montenegro

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Teodor M. Atanackovic. On a distributed derivative model of a viscoelastic body. Comptes Rendus. Mécanique, Volume 331 (2003) no. 10, pp. 687-692. doi : 10.1016/j.crme.2003.08.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2003.08.003/

References
Cited by

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