My project is to develop a new set of constitutive equations. However, I have no idea how to obtain the parameter for those functions.
Look for example in my recent article. There are some links to the simple creep equations for isotropic materials. These parameters could be immediately recovered from uniaxial creep experiments.
Article Relaxation and creep in twist and flexure
It depend on which phenomena/mechanisms your model try to reproduce.
For sure.
In this article we use the standard model for mid-temperature, low-creep-rate creep of steel alloys.
the starting point is your set of equations... then you need to look for the free energy of your system and its constrain. these constrains will tell you the way in which your system minimize the energy. from this derivation, system parameters arise...
for instance: consider the simple case of drop of fluid with surface tension (gamma) is lying over a solid substrate... the energy come from surface tension (which wants to be minimum) and potential energy of the fluid (which wants to spread the drop over the surface)... with only these two ingredient you can compute the final shape of the drop with the following constrains: the surface area must be a minimum at a constant volume.
GOOD LUCK!
for a more detailed description:
Statistical Thermodynamics Of Surfaces, Interfaces, And Membranes
SAMUEL SAFRAN
http://www.amazon.com/Statistical-Thermodynamics-Interfaces-Membranes-Frontiers/dp/0813340799
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