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Most three dimensional constitutive relations that have been developed todescribe the behavior of bodies are correlated against one dimensional and twodimensional experiments. What is usually lost sight of is the fact thatinfinity of such three dimensional models may be able to explain theseexperiments that are lower dimensional. Recently, the notion of maximization ofthe rate of entropy production has been used to obtain constitutive relationsbased on the choice of the stored energy and rate of entropy production, etc.In this paper we show different choices for the manner in which the body storesenergy and dissipates energy and satisfies the requirement of maximization ofthe rate of entropy production that leads to many three dimensional models. Allof these models, in one dimension, reduce to the model proposed by Burgers todescribe the viscoelastic behavior of bodies.

Development of three dimensional constitutive theories based on lower dimensional experimental data