A Critical Test for a Class of Nonlinear Constitutive Equations

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Abstract
Recently Yamamoto proposed a new procedure to determine the relevant material properties for a widely used viscoelastic fluid constitutive relation. The procedure, based on a hypothetical dependence of the memory function on the rate of deformation, is rather complicated and introduces a few approximations. Also, the procedure was not actually applied to a particular set of experimental data. In this paper it is shown how the basic hypothesis of the constitutive equation can be tested quickly and simply, without introducing any approximations, and in fact without directly determining the relevant memory function. This new procedure is applied to one of the standard model materials; the constitutive relation is revealed to be an inadequate formation for this material.

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