Rheological Model Parameters and Predictions
Basic Steady-Shear Viscosity Models Calculate the parameters of the Power Law, Carreau, Carreau–Yasuda, and Cross models from steady-shear viscosity measurements.
Classical Linear Viscoelastic Models Fit Maxwell and Doi–Edwards models to describe linear viscoelastic behavior, stress relaxation, and dynamic moduli.
Bingham Yield Stress Model Determine yield stress and plastic viscosity for materials that begin to flow only above a critical stress.
Relaxation Time Spectrum Models Calculate material parameters for discrete or continuous relaxation spectra such as Chambon–Winter (CW), Baumgaertel–Schausberger–Winter (BSW), Mours–Chambon–Winter (MCW), and Dual Structural models.
Fractional Maxwell Model Fit fractional viscoelastic Maxwell models to describe broad relaxation behavior with a small number of parameters. Evaluate the “bump“.
Vogel–Fulcher–Tammann (VFT) Determine VFT parameters for temperature-dependent relaxation and time–temperature superposition .
Arrhenius and Williams–Landel–Ferry (WLF) Parameters Calculate Arrhenius activation energies and WLF constants for quantitative temperature shifting.
Kaelble Model Determine Kaelble parameters for thermorheologically complex materials requiring both horizontal and vertical shift factors near the glass transition.
Lodge Rubberlike Liquid Model Predict shear and extensional stresses during startups using the Lodge constitutive equation for nonlinear viscoelastic fluids.
Wagner Damping Function Determine damping function parameters that quantify strain softening in nonlinear deformation.
Mode-Coupling Model Fit mode-coupling parameters to describe steady-shear viscosity and shear thinning of concentrated suspensions and complex fluids.
Tube Dilation Models (McLeish) Predict the nonlinear rheology of entangled polymer melts using modern tube-based constitutive models for model polymers.
Molecular Stress Function (MSF) Model Determine Molecular Stress Function parameters for predicting strain hardening in extensional flow.
Hierarchical Multi-Mode Model (Larson) Model nonlinear deformation of entangled polymers using Larson's hierarchical relaxation approach.
Simplified CCR Model for Extensional Flow Predict extensional rheology using a simplified Convective Constraint Release (CCR) model for entangled polymers.