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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

Figures

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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.
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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.
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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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