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TECHNICAL PAPERS

A Parametric Model for a Class of Foam-Like Isotropic Hyperelastic Materials

[+] Author and Article Information
S. Jemiolo

Institute of Structural Mechanics, Warsaw University of Technology, PL-00-632 Warsaw, Poland

S. Turteltaub

Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104

J. Appl. Mech 67(2), 248-254 (Oct 30, 1999) (7 pages) doi:10.1115/1.1305277 History: Received June 30, 1998; Revised October 30, 1999
Copyright © 2000 by ASME
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References

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Gibson, L. J., and Ashby, M. F., 1997, Cellular Solids: Structure and Properties, Cambridge University Press, Cambridge, UK.
Blatz,  P. J., and Ko,  W. L., 1962, “Application of Finite Elastic Theory to the Deformation of Rubbery Materials,” Trans. Soc. Rheol., VI, pp. 223–251.
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El-Ratal,  W. H., and Mallick,  P. K., 1996, “Elastic Response of Flexible Polyurethane Foams in Uniaxial Tension,” J. Eng. Mater. Technol., 118, pp. 157–161.
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Figures

Grahic Jump Location
Nominal axial stress versus axial stretch for simple compression (polyethylene). The experimental data are taken from Maiti et al. 2; the solid lines correspond to the theoretical model. The dashed lines are obtained by interpolation.
Grahic Jump Location
Nominal axial stress versus axial stretch for simple compression (polyurethane). The experimental data are taken from Maiti et al. 2; the solid lines correspond to the theoretical model.
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Parameters α, β, and γ for polyethylene (PE) and polyurethane (PU) as functions of the relative mass density r
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Top: Nominal axial stress versus axial stretch from uniaxial tension tests of polyurethane (El-Ratal and Mallick 11). The compression data (λ1<1) were taken from Maiti et al. 2. The solid lines correspond to the theoretical model. Bottom: Logarithmic measures of lateral versus axial stretch for uniaxial tension tests (El-Ratal and Mallick 11). Observe the nonlinearity between log λ1 and log λ.
Grahic Jump Location
Top: Optimal polyethylene foam density ropt (for maximum stored energy) as a function of the prescribed load S⁁1 in uniaxial homogeneous compression. As an example, the inset shows the stored energy as a function of r for S⁁1=−3 MPa. Bottom: Maximum stored energy Wopt per unit reference (underformed) volume of polyethylene (for the optimal relative mass density) as a function of the prescribed compressive load S⁁1.

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