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"... Abstract. A relativistic model for viscoanelastic phenomena in continuous media is proposed its the development is based on the general methods of the non-equilibrium thermodynamic. It is assumed that in the rest frame several microscopic phenomena occur which give rise to inelastic strains and the ..."

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Abstract. A relativistic model for viscoanelastic phenomena in continuous media is proposed its the development is based on the general methods of the non-equilibrium thermodynamic. It is assumed that in the rest frame several microscopic phenomena occur which give rise to inelastic strains and the contributions of these phenomena are introduced as internal degrees of freedom in Gibbs relation. In the adiabatic case we shall assume that the internal irreversible process produce a variation of the rest mass of the generic element and applying the methods of the relativistic dynamic in variable rest mass the four-dimensional equation of motion is derived and the explicit expression for energy-momentum tensor is obtained. We shall limit ourselves to the special relativity. M.S.C. 2010: 74D05, 74D10, 80A17, 83A05.