1. Introduction. Sternberg and Al-Khozaie [1] have shown that the von Mises- Sternberg version of Saint-Venant's principle as formulated in [2] is also valid for the linearized theory of quasi-static deformations of isotropic viseoelastic materials. Gener-alizations of the work of TOupih [3] to certain classes of isotropic viseoelastic materials were carried out by1 Edelstein [4] and Neapolitan and Edelstein- [5]. The asymptotic be-haviour of quasi-static solutions in a semi-infinite anisotrbpi'c viseoelastic cylinder was studied by Rionero and Chiri^a [6] by using appropriate cross-sectional measures. A com-prehensive discussion of literature concerned with Satint-Veriant's principle 'and further up-to-date developments can be found'in [7] and [8].
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