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

• Autorzy: Butt H. S. U. , Xue P. , Hou B.

Identyfikatory

DOI

10.1515/bpasts-2015-0021

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

cellular materials; aluminum foam; phenomenological model; energy absorption

PL

materiały komórkowe; piana aluminiowa; modele fenomenologiczne; absorpcja energii

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2015
• Tom: Vol. 63, nr 1
• Strony: 181–191
• Opis fizyczny: Bibliogr. 12, wykr., rys., tab.

Twórcy

autor

Butt H. S. U.

• School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P.R. China

autor

Xue P.

• School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P.R. China
• State Key Laboratory of Explosion Science and Technology, 100081 Beijing, P.R. China

autor

Hou B.

• School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P.R. China

Bibliografia

• [1] Q. Liu and G. Subhash, “A phenomenological constitutive model for foams under large deformations”, Polymer Engineering Science 16, 463-473 (2006).
• [2] J.A. Reglero, E. Solórzano, M.A. Rodríguez-Pérez, J.A. de Saja, and E. Porras, “Design and testing of an energy absorber prototype based on aluminum foams”, Materials & Design 31, 3568-3573 (2010).
• [3] S. Hou, Q. Li, S. Long, X. Yang, and W. Li, “Crashworthiness design for foam filled thin-wall structures”, Materials & Design 30, 2024-2032 (2009).
• [4] Q. Liu, G. Subhash, and X.L. Gao, “A parametric study on crushability of open-cell structural polymeric foams”, J. Porous Materials 12, 233-248 (2005).
• [5] M. Avalle, G. Belingardi, and A. Ibba, “Mechanical models of cellular solids: Parameters identification from experimental tests”, Int. J. Impact Engineering 34, 3-27 (2007).
• [6] S. Kiernan and M.D. Gilchrist, “Towards a virtual functionally graded foam: defining the large strain constitutive response of an isotropic closed cell polymeric cellular solid”, Int. J. Engineering Science 48, 373-1386 (2010).
• [7] M.W. Schraad and F.H. Harlow, “A stochastic constitutive model for disordered cellular materials: finite-strain uni-axial compression”, Int. J. Solids and Structures 43, 3542-3568 (2006).
• [8] S. Kiernan, L. Cui, and M.D. Gilchrist, “Propagation of a stress wave through functionally graded foam”, Int. J. Non-Linear Mechanics 44, 456-468 (2009).
• [9] L. Cui, S. Kiernan, and M.D. Gilchrist, “Designing the energy absorbing capacity of functionally graded foam materials”, Materials Science and Engineering A 507, 215-225 (2009).
• [10] Z. Wang, L. Jing, and L. Zhao, “Elasto-plastic constitutive model of aluminum alloy foam subjected to impact loading”, Trans. Nonferrous Met. Soc. China 21, 449-454 (2011).
• [11] K.C. Rusch, “Load-compression behavior of flexible foams”, J. Applied Polymer Science 13, 2297-311 (1969).
• [12] L.J. Gibson and M.F. Ashby, Cellular Solids: Structures and Properties, second edition, Cambridge University Press, Cambridge, 1997.