Abstract
A nonhomogeneous and nonautonomous 2×2 quasilinear system of first order describing rate-type materials is considered within the framework of similarity reduction procedures. Classes of exact similarity solutions to the governing model as well as functional forms for the material response function involved have been determined. Reductions to linear form have been carried out for different forms of constitutive laws. The present approach can be used for solving initial or boundary value problems.
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