Glossary

Williams-Landel-Ferry Equation for Master Curve

The William-Landel-Ferry equation is an empirical equation associated with the time-temperature superposition.  

Williams-Landel-Ferry equation for time-temperature superposition, detailing temperature shift factor calculation.

where:
Tr is the reference temperature,
C1 and C2 are empirical factors,
log(aT) is the shift factor

The equation can be used to determine the factor of the temperature shift for temperatures other than those at which a material was tested. By using a time-temperature superposition on a multi-frequency DMA measurement, for example, one can establish a master curve which plots E’ (storage modulus) as a function of frequency in the range beyond what is measureable.

Graph displaying the Williams-Landel-Ferry equation master curve for molecular glass volume, highlighting temperature shift factors.
Two professionals analyze charts and data on a table, one using a tablet and the other taking notes, in a bright workspace.

Do you have any questions?

Our experts will be happy to help you. 

Contact us

Suitable products for your measurement

AI Overview
An error occurred. Please try again.