Strain Energy Function for Rubberlike Materials Based on a Generalized Measure of Strain

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  • P. J. Blatz
    Shock Hydrodynamics, Sherman Oaks, California 91403
  • S. C. Sharda
    Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91109
  • N. W. Tschoegl
    Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91109

Description

<jats:p>A strain energy density function is proposed which is based on a generalized measure of strain. The function has the form W=(2G/n)IE+BIEm where G, B, n, and m are material constants, and IE is the first invariant of the (generalized) Lagrangean strain (λan−1)/n. The function fits data on natural rubber and on a synthetic rubber in various homogeneous stress fields up to the point of break. The powers n and m are sensibly independent of temperature, while the two moduli G and B depend linearly on temperature, over the range investigated.</jats:p>

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