Strength of the Three Layer Beam with Two Binding Layers

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The paper is devoted to the strength analysis of a simply supported three layer beam. The sandwich beam consists of: two metal facings, the metal foam core and two binding layers between the faces and the core. In consequence, the beam is a five layer beam. The main goal of the study is to elaborate a mathematical model of this beam, analytical description and a solution of the three-point bending problem. The beam is subjected to a transverse load. The nonlinear hypothesis of the deformation of the cross section of the beam is formulated. Based on the principle of the stationary potential energy the system of four equations of equilibrium is derived. Then deflections and stresses are determined. The influence of the binding layers is considered. The results of the solutions of the bending problem analysis are shown in the tables and figures. The analytical model is verified numerically using the finite element analysis, as well as experimentally.

[1] M.F. Ashby, A.G. Evans, N.A. Fleck, L.J. Gibson, J.W. Hutchinson. Metal foams: A design guide. Boston: Butterworth Heinemann, 2000.

[2] J. Banhart, "Manufacture, characterisation and application of cellular metals and metal foams", Progress in Materials Science 46:559-632, 2001

[3] A. Cernescu, J. Romanoff, "Bending deflection of sandwich beams considering local effect of concentrated force", Composite Structures 134:169-75, 2015

[4] B. Gosowski, M. Kozów, "Selected problems of design of light cladding sandwich panels with lightly profiled metal faces", Archives of Civil Engineering Vol. 55, nr 3:301-21, 2009

[5] M. Grygorowicz, K. Magnucki, M. Malinowski, "Elastic buckling of a sandwich beam with variable mechanical properties of the core", Thin-Walled Structures 87:127-32, 2015

[6] P. Jasion, E. Magnucka-Blandzi, W. Szyc, K. Magnucki, "Global and local buckling of sandwich circular and beamrectangular plates with metal foam core", Thin-Walled Structures 61:154-61, 2012

[7] P. Jasion, K. Magnucki, "Face wrinkling of sandwich beams under pure bending", Journal of Theoretical and Applied Mechanics 50:933-41, 2012

[8] P. Jasion, K. Magnucki, "Global buckling of a sandwich column with metal foam core", Journal of Sandwich Structures & Materials 15:718-32, 2013

[9] M.A.R. Loja, J.I. Barbosa, C.M. Mota Soares, "Dynamic behaviour of soft core sandwich beam structures using kriging-based layerwise models", Composite Structures 134:883-94, 2015

[10] E. Magnucka-Blandzi, K. Magnucki, "Effective design of a sandwich beam with a metal foam core", Thin-Walled Structures 45:432-8, 2007

[11] K. Magnucki, P. Jasion, W. Szyc, M.J. Smyczynski, "Strength and buckling of a sandwich beam with thin binding layers between faces and a metal foam core", Steel and Composite Structures 16:325-37, 2014

[12] K. Magnucki, M. Smyczynski, P. Jasion, "Deflection and strength of a sandwich beam with thin binding layers between faces and a core", Archives of Mechanics 65:301-11, 2013

[13] J. Małachowski, M. Klasztorny, P. Dziewulski, D. Nycz, P. Gotowicki, "Experimental investigations and modelling of Alporas aluminium foam", Modelling in Engineering 42:97-112 (in Polish), 2012

[14] S. Mohanty, R. Dash, T. Rout, "Static and dynamic stability analysis of a functionally graded Timoshenko beam", International Journal of Structural Stability and Dynamics 12, 2012

[15] A. Muc, P. Zuchara, "Optimization of sandwich structures having FRP faces", Archives of Civil Engineering Vol. 45, nr 2:289-304, 1999

[16] M. Ostwald, "Multiobjective optimization of sandwich cylindrical shell under axial compression with core of different mechanical properties", Archives of Civil Engineering Vol. 45, nr 2:305-22, 1999

[17] F. Romanów, M. Malinowski, "Dynamic stability of sandwich cylindrical shell", Archives of Civil Engineering Vol. 45, nr 3:453-64, 1999

[18] S.J. Salami, S. Dariushi, M. Sadighi, M. Shakeri, "An advanced high-order theory for bending analysis of moderately thick faced sandwich beams", European Journal of Mechanics a-Solids 56:1-11, 2016

[19] S. Shimizu, "Strength of sandwich plates as a girder web", Archives of Civil Engineering Vol. 45, nr 2:345-56, 1999

[20] B.H. Smith, S. Szyniszewski, J.F. Hajjar, B.W. Schafer, S.R. Arwade, "Steel foam for structures: A review of applications, manufacturing and material properties", Journal of Constructional Steel Research 71:1-10, 2012

[21] M.J. Smyczynski, E. Magnucka-Blandzi, "Static and dynamic stability of an axially compressed five-layer sandwich beam", Thin-Walled Structures 90:23-30, 2015

[22] S. Szyniszewski, B.H. Smith, J.F. Hajjar, S.R. Arwade, B.W. Schafer, "Local buckling strength of steel foam sandwich panels", Thin-Walled Structures 59:11-9, 2012

[23] S.T. Szyniszewski, B.H. Smith, J.F. Hajjar, B.W. Schafer, S.R. Arwade, "The mechanical properties and modeling of a sintered hollow sphere steel foam", Materials & Design 54:1083-94, 2014

[24] N.Z. Wang, X. Chen, A. Li, Y.X. Li, H.W. Zhang, Y. Liu, "Three-point bending performance of a new aluminum foam composite structure", Transactions of Nonferrous Metals Society of China 26:359-68, 2016

Archives of Civil Engineering

The Journal of Polish Academy of Sciences

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SCImago Journal Rank (SJR): 0.251
Source Normalized Impact per Paper (SNIP): 0.521

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