Rheologica Acta

, Volume 30, Issue 3, pp 270–273

A Padé approximant to the inverse Langevin function


  • A. Cohen
    • Dow Chemical Company Central Research
Original Contributions

DOI: 10.1007/BF00366640

Cite this article as:
Cohen, A. Rheol Acta (1991) 30: 270. doi:10.1007/BF00366640


Application of the methodology of Pade approximants to a Taylor expansion of the inverse Langevin function led to an accurate analytical expression. The approximation, retaining a finite extendibility of the Langevin spring, enables a convenient analysis of experimental data and analytical manipulations of material models.

Key words

Inverse Langevin functionPadé approximationnon-linear material modeling

Copyright information

© Steinkopff-Verlag 1991