Abstract
The dynamic response of physically asymmetric rectangular sandwich plates with metal foam core subjected to blast loading is investigated analytically and numerically. The so-called ‘bounds’ of analytical solutions for the maximum central deflection of back face-sheets and the structural response time are obtained, respectively, by employing the yield criteria for an asymmetric sandwich structure including core compression. Furthermore, an improved membrane mode analysis considering the ‘residual’ bending moment for asymmetric sandwich plates is presented and the membrane mode solutions are given. It is shown that there is a good agreement between the theoretical predictions and the numerical results. Based on the analytical formulae, optimal design charts are constructed to maximize the impulsive resistance of physically asymmetric sandwich plates for a given mass. Finally, the performances of optimally designed sandwich plates with various face-sheet material combinations are discussed.
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Ashby, M.F., Evans, A.G., Fleck, N.A., Gibson, L.J., Hutchinson, J.W., Wadley, H.N.G.: Metal Foams: A Design Guide. Butterworth Heinemann, Boston (2000)
Gibson, L.J., Ashby, M.F.: Cellular Solids: Structure and Properties. Cambridge University Press, Cambridge (1997)
Zhu, F., Wang, Z.H., Lu, G.X., Nurick, G.: Some theoretical considerations on the dynamic response of sandwich structures under impulsive loading. Int. J. Impact Eng 37, 625–637 (2010)
Xue, Z.Y., Hutchinson, J.W.: A comparative study of impulse-resistant metal sandwich plates. Int. J. Impact Eng 30, 1283–1305 (2004)
Vaziri, A., Xue, Z.Y., Hutchinson, J.W.: Performance and failure of metal sandwich plates subjected to shock loading. J. Mech. Mater. Struct. 2, 1947–1963 (2007)
Ebrahimi, H., Vaziri, A.: Metallic sandwich panels subjected to multiple intense shocks. Int. J. Solids Struct. 50, 1164–1176 (2013)
Liang, Y.M., Spuskanyuk, A.V., Flores, S.E., Hayhurst, D.R., Hutchinson, J.W., McMeeking, R.M., Evans, A.G.: The response of metallic sandwich panels to water blast. ASME J. Appl. Mech. 74, 81–99 (2007)
Qiu, X.M., Deshpande, V.S., Fleck, N.A.: Dynamic response of a clamped circular sandwich plate subject to shock loading. ASME J. Appl. Mech. 71, 637–645 (2004)
Zhu, F., Zhao, L.M., Lu, G.X., Wang, Z.H.: Structural response and energy absorption of sandwich panels with an aluminium foam core under blast loading. Adv. Struct. Eng. 11, 525–536 (2008)
Dharmasena, K.P., Wadley, H.N.G., Xue, Z.Y., Hutchinson, J.W.: Mechanical response of metallic honeycomb sandwich panel structures to high-intensity dynamic loading. Int. J. Impact Eng 35, 1063–1074 (2008)
Zhu, F., Zhao, L.M., Lu, G.X., Wang, Z.H.: Deformation and failure of blast-loaded metallic sandwich panels—experimental investigations. Int. J. Impact Eng 35, 937–951 (2008)
Cui, X.D., Zhao, L.M., Wang, Z.H., Zhao, H., Fang, D.N.: Dynamic response of metallic lattice sandwich structures to impulsive loading. Int. J. Impact Eng 43, 1–5 (2012)
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., Wang, T.J.: A theoretical analysis of the dynamic response of metallic sandwich beam under impulsive loading. Eur. J. Mech. A Solids 28, 1014–1025 (2009)
Qin, Q.H., Yuan, C., Zhang, J.X., Wang, T.J.: A simplified analytical model for metal sandwich beam with soft core under impulsive loading over a central patch. Int. J. Impact Eng 74, 67–82 (2014)
Zhang, J.X., Qin, Q.H., Wang, T.J.: Resistance of metallic foam-filled trapezoidal plate core sandwich plate to blast loading. Mater. Res. Innov. 15, s162–s165 (2011)
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)
Rion, J., Leterrier, Y., Månson, J., Blairon, J.: Ultra-light asymmetric photovoltaic sandwich structures. Compos. Part A Appl. Sci. Manuf. 40, 1167–1173 (2009)
Preissner, E.C., Vinson, J.R.: Theory for midplane asymmetric sandwich cylindrical shells. J. Sandw. Struct. Mater. 5, 233–251 (2003)
James, C.T., Cunningham, P.R., Watson, A.: Experimental and numerical investigation of the effect of asymmetry on the residual strength of a composite sandwich panel. J. Sandw. Struct. Mater. 17, 417–445 (2015)
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)
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)
Hause, T.: Elastic structural response of anisotropic sandwich plates with a first-order compressible core impacted by a Friedlander-type shock loading. Compos. Struct. 94, 1634–1645 (2012)
Jones, N.: A theoretical study of the dynamic plastic behavior of beams and plates with finite-deflections. Int. J. Solids Struct. 7, 1007–1029 (1971)
Jones, N.: Structural Impact. Cambridge University, Cambridge (1989)
Qin, Q.H., Wang, T.J.: Impulsive loading of a fully clamped circular metallic foam core sandwich plate. In: Proceedings of the 7th International Conference on Shock and Impact Loads on Structures, Beijing, pp. 481-488 (2007)
Deshpande, V.S., Fleck, N.A.: Isotropic constitutive models for metallic foams. J. Mech. Phys. Solids 48, 1253–1283 (2000)
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Wang, M., Qin, Q. & Wang, T.J. On physically asymmetric sandwich plates with metal foam core subjected to blast loading: dynamic response and optimal design. Acta Mech 228, 3265–3283 (2017). https://doi.org/10.1007/s00707-017-1870-z
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DOI: https://doi.org/10.1007/s00707-017-1870-z