I need a good reference of a book for viscoelastic material models

[andradesilva]

Hi all,

I want to do two viscoelastic simulations in ANSYS Workbench, but of different nature: one with fluid flow and other in static module. I need to input the exact material properties on the 2 simulations. The problem is that on fluid flow there is only KBK-Z model, and on ANSYS WB static module, there are these models:
Prony Shear Relaxation
Prony Volumetric Relaxation
William-Landel-Ferry Shift Function
Tool-Narayanaswamy Shift Function
Tool-Narayanaswamy w/Fictive Temperature Shift Function

I would like to know a good reference where I can find the formulations of these models (KBK-Z and the other 5 models). I prefer books. I would like to know the derivations and everything in terms of equations that led to these models. This is because I want to establish a relation between KBK-Z and one of the 5 I am listing here, so I can use equivalent material properties.

Thanks in advance,
Andrade Silva

 

[Dave442]

The constitutive equations and their numerical integration should be described in the ANSYS theory reference