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A Padé approximant to the inverse Langevin function

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Abstract

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.

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References

  1. Treloar LRG (1975) The physics of rubber elasticity, 3rd ed. Clarendon, Oxford

    Google Scholar 

  2. Flory PJ (1988) Statistical mechanics of chain molecules. Hanser, New York

    Google Scholar 

  3. For example: Larson RG (1988) Constitutive equations for polymer melts and solutions. Butterworths, Stoneham

    Google Scholar 

  4. Warner HR (1972) Ind Eng Chem Fundam 11:379

    Google Scholar 

  5. Baker GA, Jr (1975) Essentials of Padé approximants. Academic Press, New York

    Google Scholar 

  6. Baker GA, Jr, Gammel JL (1961) J Math Anal Appl 2:21

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  7. Baker GA, Jr, Gammel JL (eds) (1970) The Padé approximant in theoretical physics. Academic Press, New York

    Google Scholar 

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Cohen, A. A Padé approximant to the inverse Langevin function. Rheol Acta 30, 270–273 (1991). https://doi.org/10.1007/BF00366640

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  • DOI: https://doi.org/10.1007/BF00366640

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