Abstract
The metallic hollow sphere (MHS) periodically filled in epoxy is a type of syntactic metallic hollow sphere structure (MHS/EP). In this article, the effective elastic constants of MHS/EP composite with three kinds of packing types of MHS are numerically investigated by ANSYS. The unit cell is used to simplify MHS periodically filled composite, and the effective elastic moduli and Poisson’s ratios are analyzed. It is found that the composite for simple cubic packing type can be considered as orthogonal isotropic material. However, the composites for the other two kinds of packing types should be considered as orthotropic materials in most instances, but they can be considered as orthogonal isotropic materials in relation to their linear-elastic behavior when the shell is medium-thickness wall.
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L.J. Gibson and M.F. Ashby, Cellular Solids: Structure and Properties, Cambridge University Press, Cambridge, 1997
T.J. Lu, D.P. He, C.Q. Chen, C.Y. Zhao, D.N. Fang, and X.L. Wang, The Multi-Functionality of Ultra-Light Porous Metals and Their Applications, Adv. Mech., 2006, 36(4), p 517–535
W.S. Sanders and L.J. Gibson, Mechanics of BCC and FCC Hollow-Sphere Foams, Mater. Sci. Eng. A, 2003, 352(1–2), p 150–161
T.J. Lim, B. Smith, and D.L. Mcdowell, Behavior of a Random Hollow Sphere Metal Foam, Acta Mater., 2002, 50(11), p 2867–2879
S. Gasser, F. Paun, A. Cayzeele, and Y. Brechet, Uniaxial Tensile Elastic Properties of a Regular Stacking of Brazed Hollow Spheres, Scripta Mater., 2003, 48(12), p 1617–1623
S. Gasser, F. Paun, and Y. Bréchet, Finite Elements Computation for the Elastic Properties of a Regular Stacking of Hollow Spheres, Mater. Sci. Eng. A, 2004, 379(1–2), p 240–244
T. Fiedler and A. Öchsner, On the Anisotropy of Adhesively Bonded Metallic Hollow Sphere Structures, Scripta Mater., 2008, 58(8), p 695–698
T. Fiedler, E. Solórzano, and A. Öchsner, Numerical and Experimental Analysis of the Thermal Conductivity of Metallic Hollow Sphere Structures, Mater. Lett., 2008, 62(8–9), p 1204–1207
T. Fiedler, R. Löffler, T. Bernthaler, R. Winkler, and A. Öchsner, Numerical Analyses of the Thermal Conductivity of Random Hollow Sphere Structures, Mater. Lett., 2009, 63(13–14), p 1125–1127
E. Solórzano, M.A. Rodríguez-Perez, and J.A. de Saja, Thermal Conductivity of Metallic Hollow Sphere Structures: An Experimental, Analytical and Comparative Study, Mater. Lett., 2009, 63(13–14), p 1128–1130
F. Feyel and V. Marcadon, Modelling of the Compression Behaviour of Metallic Hollow-Sphere Structures: About the Influence of Their Architecture and Their Constitutive Material’s Equations, Comput. Mater. Sci., 2009, 47(2), p 599–610
P. Lhuissier, A. Fallet, L. Salvo, and Y. Brechet, Quasistatic Mechanical Behaviour of Stainless Steel Hollow Sphere Foam: Macroscopic Properties and Damage Mechanisms Followed by X-Ray Tomography, Mater. Lett., 2009, 63(13–14), p 1113–1116
O. Friedl, C. Motz, H. Peterlik, S. Puchegger, H. Reger, and R. Pippan, Experimental Investigation of Mechanical Properties of Metallic Hollow Sphere Structures, Metall. Mater. Trans. B, 2008, 39, p 135–146
H.H. Ruan, Z.Y. Gao, and T.X. Yu, Crushing of Thin-Walled Spheres and Sphere Arrays, Int. J. Mech. Sci., 2006, 48(2), p 117–133
D. Karagiozova, T.X. Yu, and Z.Y. Gao, Modelling of MHS Cellular Solid in Large Strains, Int. J. Mech. Sci., 2006, 48(11), p 1273–1286
Z.Y. Gao, T.X. Yu, and D. Karagiozova, Finite Element Simulations on the Mechanical Properties of MHS Materials, Acta Mech. Sin., 2007, 23(1), p 65–75
X.L. Dong, Z.Y. Gao, and T.X. Yu, Dynamic Crushing of Thin-Walled Spheres: An Experimental Study, Int. J. Impact Eng., 2008, 35(8), p 717–726
A. Tasdemirci, C. Ergonenc, and M. Guden, Split Hopkinson Pressure Bar Multiple Reloading and Modeling of a 316 L Stainless Steel Metallic Hollow Sphere Structure, Int. J. Impact Eng., 2010, 37(3), p 250–259
C. Motz, O. Friedl, and R. Pippan, Fatigue Crack Propagation in Cellular Metals, Int. J. Fatigue, 2005, 27(10–12), p 1571–1581
O. Caty, E. Maire, T. Douillard, P. Bertino, R. Dejaeger, and R. Bouchet, Experimental Determination of the Macroscopic Fatigue Properties of Metal Hollow Sphere Structures, Mater. Lett., 2009, 63(13–14), p 1131–1134
C. Augustin and W. Hungerbach, Production of Hollow Spheres (HS) and Hollow Sphere Structures (HSS), Mater. Lett., 2009, 63, p 1109–1112
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This study is funded by the Hebei Natural Science Foundation (E2011203230) and the Hebei Institution of Higher Education scientific research plan (2010166).
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Yu, W., Xin, M., Liang, X. et al. Numerical Investigation into Effective Elastic Constants of MHS/EP Composite. J. of Materi Eng and Perform 21, 2038–2043 (2012). https://doi.org/10.1007/s11665-012-0137-z
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DOI: https://doi.org/10.1007/s11665-012-0137-z