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Evaluation of phenomenological model parameters using density dependent laws for prediction of mechanical response of cellular materials

Butt H. S. U., Xue P., Hou B.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2015

Vol. 63, nr 1

181–191

Cellular materials have found wide-spread attention in structural applications involving impact energy absorption. The choice of the most suitable density of a cellular material, for a particular impact application, is based on its mechanical response, which may be obtained through experimental tests and/or models. A current study is focused on prediction of a mechanical response of a wide range of densities of a cellular material using available experimental data of very few densities. Best fitting-parameters of four selected phenomenological models, to fit the available experimental response of three distinct aluminum foam densities, are evaluated. The relationship between the best-fitting parameters and density of the foam is established by using two types of functions. The first function is based on a power law relationship between each parameter and foam density ρ, while the second function assumes each parameter as a linear combination of ρn and ρ, where n is any real number. The former function is found reasonable in the cases of both parameter interpolation and extrapolation while the latter is found reasonable for a parameter interpolation only. The findings of a current study emphasize for a conscious approach during selection of density dependent laws for phenomenological model parameters to avoid any erroneous or misleading design decision.

Modelowanie filtracji pospiesznej przy użyciu metody UBE

Zielina M., Dąbrowski W.

Czasopismo Techniczne. Budownictwo

2001

R. 98, z. 3-B

184--201

A literature review of deep bed filtration modeling has been presented, including phenomenological, to unit bed element models. A list of equations describing efficiency of solid particles transport mechanisms, from stream of suspension towards collector (grain) surface, was collected and presented in table separately for clean and clogged filter media.