On a distributed derivative model of a viscoelastic body

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. To cite this article: T.M. Atanackovic, C. R. Mecanique 33](2003). (C) 2003 Academie des sciences. Published by Editions scientifiques et medicales Elsevier SAS. All rights reserved.