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

Bulletin of the Polish Academy of Sciences. Technical Sciences

B. HouSchool of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P.R. ChinaOther articles by this author:De Gruyter OnlineGoogle Scholar¹  H.S.U. ButtSchool of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P.R. ChinaOther articles by this author:De Gruyter OnlineGoogle Scholar¹  P. XueCorresponding authorSchool of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P.R. ChinaState Key Laboratory of Explosion Science and Technology, 100081 Beijing, P.R. ChinaEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

[1] School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P.R. China

关键词: Keywords : cellular materials;    aluminum foam;    phenomenological models;    energy absorption;   

DOI  :  10.1515/bpasts-2015-0021

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 摘 要 】

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.

【 授权许可】

Unknown