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Constitutive equations describing small perturbations on viscometric flows are derived. The relations are similar in form to the linear integral stress-deformation relations of infinitesimal viscoelasticity theory. Restrictions imposed by material symmetry and by incompressibility are discussed. It is shown that certain relations between the stress-relaxation moduli and the basic viscometric functions must be satisfied for self-consistency of the theory.
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Pipkin et al. (1967) studied this question.
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