Title: A Symbolic Computation Framework for Constitutive Modelling Based On Entropy Principles,
Abstract: The entropy principle in the formulation of Müller and Liu is a common
tool used in constitutive modelling for the development of restrictions on the
unknown constitutive functions describing material properties of various
physical continua. In the current work, a symbolic software implementation of
the Liu algorithm, based on \verb|Maple| software and the \verb|GeM| package,
is presented. The computational framework is used to algorithmically perform
technically demanding symbolic computations related to the entropy principle,
to simplify and reduce Liu's identities, and ultimately to derive explicit
formulas describing classes of constitutive functions that do not violate the
entropy principle. Detailed physical examples are presented and discussed.