Abstract
The plastic behavior of fully clamped multilayer sandwich beams with metal foam cores is investigated. A plastic yield criterion for multilayer sandwich structures with metal foam cores is proposed. Analytical solutions are derived for the multilayer sandwich beams transversely loaded by a flat punch considering the interaction of bending and stretching induced by large deflections. Numerical calculations are carried out, and good agreement is achieved between the analytical solutions and numerical results. The effects of the multilayer, punch size and core strength are discussed. Using the analytical formulae, optimal design charts are constructed to maximize the load-carrying capacity of the multilayer sandwich beams for a given mass. It is demonstrated that the present analytical model can reasonably predict the post-yield behavior of the multilayer sandwich beams with metal foam cores.
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References
Allen, H.G.: Analysis and Design of Structural Sandwich Panels. Pergamon Press, NewYork (1969)
Gibson, L.J., Ashby, M.F.: Cellular Solids: Structure and Properties. Cambridge University Press, Cambridge (1997)
Ashby, M.F., Evans, A.G., Fleck, N.A., Hutchinson, J.W., Gibson, L.J., Wadley, H.N.G.: Metal Foams: A Design Guide. Butterworth-Heinemann, London (2000)
Hu, L.L., Yu, T.X.: Dynamic crushing strength of hexagonal honeycombs. Int. J. Impact Eng. 37, 467–474 (2010)
Maziar, R., Thomas, N.: Influence of humidity on creep response of sandwich beam with a viscoelastic soft core. Acta Mech. 225, 277–297 (2014)
Queheillalt, D.T., Wadley, H.N.G.: Pyramidal lattice truss structures with hollow trusses. Mater. Sci. Eng. A 397, 132–137 (2005)
Zhu, F., Wang, Z.H., Lu, G.X., Zhao, L.M.: Analytical investigation and optimal design of sandwich panels subjected to shock loading. Mater. Des. 30, 91–100 (2009)
Sypeck, D.J., Wadley, H.N.G.: Multifunctional microtruss laminates: textil synthesis and properties. J. Mater. Res. 16, 890–897 (2001)
Cui, X.D., Zhao, L.M., Wang, Z.H., Zhao, H., Fang, D.N.: A lattice deformation based model of metallic lattice sandwich plates subjected to impulsive loading. Int. J. Solids Struct. 49, 2854–2862 (2012)
Wang, M.S., Qin, Q.H., Wang, T.J.: Low-velocity impact and minimum mass design of physically asymmetric sandwich beams with metal foam core. Acta Mech. 226, 1839–1859 (2015)
Zhou, H.Y., Ma, G.W., Li, J.D., Zhao, Z.Y.: Design of metal foam cladding subjected to close-range blast. J. Perform. Constr. Facil. 29, 04014110 (2014)
Wang, D.M.: Cushioning properties of multi-layer corrugated sandwich structures. J. Sandw. Struct. Mater. 11, 57–66 (2009)
Dharmasena, K., Queheillalt, D., Wadley, H., Chen, Y., Dudt, P., Knight, D., Wei, Z., Evans, A.: Dynamic response of a multilayer prismatic structure to impulsive loads incident from water. Int. J. Impact Eng. 36, 632–643 (2009)
Bart-Smith, H., Hutchinson, J.W., Evans, A.G.: Measurement and analysis of the structural performance of cellular metal sandwich construction. Int. J. Mech. Sci. 43, 1945–1963 (2001)
McCormack, T., Miller, R., Kesler, O., Gibson, L.: Failure of sandwich beams with metallic foam cores. Int. J. Solids Struct. 38, 4901–4920 (2001)
Yu, J.L., Wang, E., Li, J., Zheng, Z.J.: Static and low-velocity impact behavior of sandwich beams with closed-cell aluminum-foam core in three-point bending. Int. J. Impact Eng. 35, 885–894 (2008)
Tagarielli, V.L., Fleck, N.A.: A comparison of the structural response of clamped and simply supported sandwich beams with aluminium faces and a metal foam core. ASME J. Appl. Mech. 72, 408–417 (2005)
Qin, Q.H., Wang, T.J.: An analytical solution for the large deflections of a slender sandwich beam with a metallic foam core under transverse loading by a flat punch. Compos. Struct. 88, 509–518 (2009)
Capela, C., Ferreira, J., Costa, J.: Effect of the foam core density on the bending response on sandwich composites. Fibers Polym. 14, 597–602 (2013)
Fan, H.L., Yang, W., Zhou, Q.: Experimental research of compressive responses of multi-layered woven textile sandwich panels under quasi-static loading. Compos. Part B 42, 1151–1156 (2011)
Sha, J.B., Yip, T.H.: In situ surface displacement analysis on sandwich and multilayer beams composed of aluminum foam core and metallic face sheets under bending loading. Mater. Sci. Eng. A 386, 91–103 (2004)
Hou, S.J., Shu, C.F., Zhao, S.Y., Liu, T.Y., Han, X., Li, Q.: Experimental and numerical studies on multi-layered corrugated sandwich panels under crushing loading. Compos. Struct. 126, 371–385 (2015)
Arbaoui, J., Schmitt, Y., Pierrot, J., Royer, F.: Effect of core thickness and intermediate layers on mechanical properties of polypropylene honeycomb multi-layer sandwich structures. Arch. Metall. Mater. 59, 11–16 (2014)
Xiong, J., Vaziri, A., Ma, L., Papadopoulos, J., Wu, L.Z.: Compression and impact testing of two-layer composite pyramidal-core sandwich panels. Compos. Struct. 94, 793–801 (2012)
Martin, J.B.: Plasticity: Fundamentals and General Results. MIT Press, Cambridge (1975)
Fleck, N.A., Deshpande, V.S.: The resistance of clamped sandwich beams to shock loading. ASME J. Appl. Mech. 71, 386–401 (2004)
Qin, Q.H., Zhang, J.X., Wang, Z.J., Wang, T.J.: Large deflection of geometrically asymmetric metal foam core sandwich beam transversely loaded by a flat punch. Int. J. Aerosp. Lightweight Struct. 1, 23–46 (2011)
Qin, Q.H., Wang, M.S., Wang, Z.J., Zhang, J.X., Wang, T.J.: A yield criterion and plastic analysis for physically asymmetric sandwich beam with metal foam core. Int. J. Appl. Mech. 5, 1350037 (2013)
Jones, N.: Structural Impact. Cambridge University, Cambridge (1989)
Deshpande, V.S., Fleck, N.A.: Isotropic constitutive models for metallic foams. J. Mech. Phys. Solids 48, 1253–1283 (2000)
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Zhang, J., Qin, Q., Xiang, C. et al. Plastic analysis of multilayer sandwich beams with metal foam cores. Acta Mech 227, 2477–2491 (2016). https://doi.org/10.1007/s00707-016-1639-9
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DOI: https://doi.org/10.1007/s00707-016-1639-9