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

Abstract

A parametric model for foam-like materials is proposed and its correlation with experimental results is analyzed. The class of foam-like materials is assumed to be described by an isotropic elastic potential based on a general model proposed by Ogden. The class is parametrized using the relative mass density of the material. Functional relations between material parameters and the relative mass density are obtained from experimental data. A simple application problem, namely the optimization of a foam for maximum energy absorption under homogeneous compression, is formulated and solved numerically. [S0021-8936(00)02802-6]

Hyperelastic constitutive modeling under finite strain

“…Compression tests coupled with uniaxial tension on the same foam materials would help verify the proposed model and the material parameters chosen. Jemiolo and Turteltaub (2000) did provided extrapolated compression results for the foams tested by El-Ratal and Mallick (1996) but these have not been used here as they were not direct experimental results.…”

“…Others to model the test results of El-Ratal and Mallick (1996) have been Jemiolo and Turteltaub (2000) and Murphy and Rogerson (2002). Jemiolo and Turteltaub (2000) presented a parametric study based on a modified elastic strain energy density derived from Ogden's (1997) model. Murphy and Rogerson (2002) extended Blatz and Ko (1962) hypothesis of a power law relationship between the longitudinal stretch and the lateral stretch for the case of uniaxial tension.…”

“…The proposed hyperelastic model was applied to the uniaxial tension test results of El-Ratal and Mallick (1996). Others to model the test results of El-Ratal and Mallick (1996) have been Jemiolo and Turteltaub (2000) and Murphy and Rogerson (2002). Jemiolo and Turteltaub (2000) presented a parametric study based on a modified elastic strain energy density derived from Ogden's (1997) model.…”

Influence of the lateral confinement on the transverse mechanical behavior of tows and quasi-unidirectional fabrics: Experimental and modeling investigations of dry through-thickness compaction

“…35 For a more general formulation of the Ogden-Hill approach, the reader can refer to the work of Jemiolo and Turteltaub. 36 Finally, it is to be noted that the material parameter μ is defined differently than in the above-mentioned papers: it corresponds to the definition of the “Hyperfoam” model implemented in the commercial software Abaqus and considered for example by Berezvai and Kossa. 37…”

Time-dependent modeling and experimental characterization of foamed EPDM rubber

“…Modeling approaches concerning porous materials are manifold and many authors contributed, see e.g. additionally [12,20,22,27], reference within and others.…”