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A Hyperelastic Model for Soft Polymer Foam Including Micromechanics of Porosity

Abstract

This paper proposes a new isotropic hyperelastic model for polymer foam, which explicitly models the micromechanical influence of changes in porosity. The foam is treated as a matrix of compressible solid material with evacuated pores that cause soft response for low pressures. In its general form, the strain energy of the foam depends on the strain energy of the solid material and on the porosity, which is taken to be a function of the total dilatation. This function adds only two material constants. One is the stress free porosity and the other controls the magnitude of the low pressure response of the foam. In contrast with other formulations, the proposed model naturally transitions to the response of the solid as the porosity approaches zero in hydrostatic compression.

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Acknowledgements

M.B. Rubin acknowledges partial support from his Gerard Swope Chair in Mechanics and the generous hospitality of the Department of Civil Engineering at Tufts University for hosting him during part of his sabbatical leave from Technion. The work by L. Dorfmann was supported, in part, by a Faculty Research Award provided by Tufts University.

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Correspondence to M. B. Rubin.

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Rubin, M.B., Dorfmann, L. A Hyperelastic Model for Soft Polymer Foam Including Micromechanics of Porosity. J Elast 138, 205–220 (2020). https://doi.org/10.1007/s10659-019-09740-0

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Keywords

  • Blatz-Ko model
  • Foam
  • Hyperelastic
  • Micromechanical
  • Porosity

Mathematics Subject Classification

  • 74B20