Abstract
The object of this paper is to draw attention to the close conceptual relationship between finite elasticity theory, particularly as it relates to incompressible isotropic materials, and the nonlinear continuum mechanics of incompressible isotropic viscoelastic materials. This parallelism in the development of the two subjects is evident, not only in the formulation of the two theories, but also in the identification of the types of problems which are mathematically tractable by analytical methods and whose solutions may lead to predictions of physical interest. In the present paper, the parallel will be drawn mainly for the case when the viscoelastic materials are fluids.
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