Material Property Database¶

This database consolidates typical rheological property ranges for 100+ materials, extracted from the RheoJAX Model Handbook and literature.

Quick Reference by Material Class¶

Liquids (Newtonian)¶

Material	Viscosity \(\eta\) (Pa·s)	Temperature (°C)	Notes
Water	0.001	20	Reference fluid
Glycerol	1.5	20	Calibration standard
Honey	10 - 100	20	Varies with type
Motor oil (10W-30)	0.1 - 0.5	100	Shear thinning

Polymer Melts¶

Material	\(G'\) (Pa at 1 Hz)	\(\eta_0\) (Pa·s)	\(\tau\) (s)
Polyethylene (LDPE)	\(10^4 - 10^5\)	\(10^3 - 10^5\)	1 - 100
Polystyrene (PS)	\(10^4 - 10^6\)	\(10^4 - 10^6\)	0.1 - 10
Polydimethylsiloxane (PDMS)	\(10^3 - 10^5\)	\(10^2 - 10^4\)	0.01 - 1

Gels and Soft Solids¶

Material	\(G'\) (Pa)	\(G''/G'\)	Classification
Gelatin (5%)	\(10^2 - 10^3\)	0.1 - 0.3	Physical gel
Agar (2%)	\(10^4 - 10^5\)	0.05 - 0.15	Strong gel
Yogurt	\(10^2 - 10^3\)	0.2 - 0.5	Weak gel
Hydrogels (PEG)	\(10^2 - 10^4\)	0.1 - 0.5	Chemical gel

Suspensions¶

Material	\(\eta\) (Pa·s at 1 \(\text{s}^{-1}\))	\(\phi\) (vol%)	Flow Type
Blood	0.003 - 0.015	40-45	Shear thinning
Ketchup	50 - 200	25-30	Yield stress
Paint (latex)	1 - 10	30-40	Shear thinning

Biological Materials¶

Material	\(G'\) (Pa at 1 Hz)	\(G''/G'\)	Temperature (°C)
Collagen gel	10 - 100	0.2 - 0.5	37
Fibrin network	10 - 1000	0.1 - 0.3	37
Mucus	1 - 100	0.3 - 1.0	37

Typical Parameter Ranges by Model¶

Classical Models¶

Maxwell (liquids):

\(G_0\): \(10^3 - 10^6\) Pa
\(\eta\): \(1 - 10^6\) Pa·s
\(\tau\): 0.001 - 100 s

Zener (solids):

\(G_e\): \(10^3 - 10^7\) Pa
\(G_m\): \(10^3 - 10^6\) Pa
\(\tau\): 0.1 - 1000 s

Fractional Models¶

Fractional Maxwell Liquid:

\(G_0\): \(10^4 - 10^6\) Pa
\(\tau\): 0.01 - 100 s
\(\alpha\): 0.5 - 0.95

Fractional Zener Solid-Solid:

\(G_e\): \(10^3 - 10^6\) Pa
\(G_m\): \(10^3 - 10^5\) Pa
\(\alpha\): 0.3 - 0.8

Flow Models¶

PowerLaw:

\(K\): 0.01 - 100 \(\text{Pa·s}^n\)
\(n\): 0.2 - 1.0 (shear thinning)

Herschel-Bulkley:

\(\sigma_y\): 1 - 1000 Pa
\(K\): 0.1 - 10 \(\text{Pa·s}^n\)
\(n\): 0.3 - 0.9

Using This Database¶

For parameter validation:

# After fitting
G0 = model.parameters.get_value('G0')

# Check against expected range
if 1e3 < G0 < 1e6:
    print("G0 in typical range for polymer melts")
else:
    print(f"Warning: G0 = {G0:.2e} Pa unusual for this material")

For initial guesses:

# Polymer melt (from database)
model.parameters.set_value('G0', 1e5)  # Mid-range
model.parameters.set_value('eta', 1e4)
model.fit(t, G_t)

Temperature Dependence¶

WLF Parameters (polymers near \(T_g\)):

\(C_1\): 10 - 20 (typical: 17.44 for many polymers)
\(C_2\): 30 - 100 K (typical: 51.6 K)

Arrhenius Activation Energy:

Simple liquids: 10 - 50 kJ/mol
Polymers: 50 - 300 kJ/mol

References¶

Data compiled from:

Ferry, J.D. Viscoelastic Properties of Polymers (1980)
Macosko, C.W. Rheology (1994)
TA Instruments Rheology Application Notes
RheoJAX Model Handbook validation data