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http://dx.doi.org/10.12989/sem.2012.44.4.465

Analytical modelling of multilayer beams with compliant interfaces  

Skec, L. (University of Rijeka, Faculty of Civil Engineering)
Schnabl, S. (University of Ljubljana, Faculty of Civil and Geodetic Engineering)
Planinc, I. (University of Ljubljana, Faculty of Civil and Geodetic Engineering)
Jelenic, G. (University of Rijeka, Faculty of Civil Engineering)
Publication Information
Structural Engineering and Mechanics / v.44, no.4, 2012 , pp. 465-485 More about this Journal
Abstract
Different mathematical models are proposed and their analytical solutions derived for the analysis of linear elastic Reissner's multilayer beams. The models take into account different combinations of contact plane conditions, different material properties of individual layers, different transverse shear deformations of each layer, and different boundary conditions of the layers. The analytical studies are carried out to evaluate the influence of different contact conditions on the static and kinematic quantities. A considerable difference of the results between the models is obtained.
Keywords
layered structures; delamination; analytical modelling; laminate mechanics; interlayer slip;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Schnabl, S. and Planinc, I. (2010), "The influence of boundary conditions and axial deformability on buckling behavior of two-layer composite columns with interlayer slip", Eng. Struct., 32(10), 3103-3111.   DOI   ScienceOn
2 Schnabl, S. and Planinc, I. (2011), "The effect of transverse shear deformation on the buckling of two-layer composite columns with interlayer slip", Int. J. Nonlin. Mech., 46(3), 543-553.   DOI   ScienceOn
3 Schnabl, S. and Planinc, I. (2013), "Exact buckling loads of two-layer composite Reissner's columns with interlayer slip and uplift", Int. J. Solids Struct., 50(1), 30-37.   DOI   ScienceOn
4 Sousa, J.B.M. and da Silva, A.R. (2010), "Analytical and numerical analysis of multilayered beams with interlayer slip", Eng. Struct., 32, 1671-1680.   DOI   ScienceOn
5 Timoshenko, S.P. (1940), Strength of Materials, Part I, Elementary Theory and Problems, 2nd Edition, D. Van Nostrand Company, New York.
6 Volokh, K.Y. and Needleman, A. (2002), "Buckling of sandwich beams with compliant interfaces", Comput. Struct., 80(14-15), 1329-1335.   DOI   ScienceOn
7 Vu-Quoc, L., Den, H. and Ebcio lu, K. (1996), "Multilayer beams: a geometrically exact formulation", J. Nonlin. Sci., 6, 239-270.   DOI   ScienceOn
8 Adekola, A. (1968), "Partial interaction between elastically connected elements of a composite beam", Int. J. Solids Struct., 4(11), 1125-1135.   DOI   ScienceOn
9 Alfano, G. and Crisfield, M.A. (2001), "Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues", Int. J. Numer. Meth. Eng., 50, 1701-1736.   DOI   ScienceOn
10 Attard, M.M. and Hunt, G.W. (2008), "Sandwich column buckling -A hyperelastic formulation", Int. J. Solids Struct., 45(21), 5540-5555.   DOI   ScienceOn
11 Bareisis, J. (2006), "Stiffness and strength of multilayer beams", J. Compos. Mater., 40(6), 515-531.   DOI
12 Challamel, N. and Girhammar, U.A. (2011), "Boundary-layer effect in composite beams with inter-layer slip", J. Aerosp. Eng., 24, 199-209.   DOI   ScienceOn
13 Cowper, G.R. (1966), "The shear coefficient in Timoshenko's beam theory", J. Appl. Mech., 33(2), 335-340.   DOI
14 rostig, Y. (2003), "Classical and high-order computational models in the analysis of modern sandwich panels", Compos. Part B-Eng., 34, 83-100.
15 Gara, F., Ranzi, P. and Leoni, G. (2006), "Displacement-based formulations for composite beams with longitudinal slip and vertical uplift", Int. J. Numer. Meth. Eng., 65, 1197-1220.   DOI   ScienceOn
16 Girhammar, U.A. and Pan, D.H. (2007), "Exact static analysis of partially composite beams and beam-columns", Int. J. Mech. Sci., 49(2), 239-255.   DOI   ScienceOn
17 Hjelmstad, K.D. (2005), Fundamentals of Structural Mechanics, Second Edition, Springer-Verlag, New York.
18 Hozjan, T., Saje, M., Srpcic, S. and Planinc, I. (2013), "Geometrically and materially non-linear analysis of planar structures with an interlayer slip", Comput. Struct., 114-115, 1-17.   DOI
19 Kryzanowski, A., Schnabl, S., Turk, G. and Planinc, I. (2009), "Exact slip-buckling analysis of two-layer composite columns", Int. J. Solids Struct., 46, 2929-2938.   DOI   ScienceOn
20 Kroflic, A., Planinc, I., Saje, M. and Cas, B. (2010a), "Analytical solution of two-layer beam including interlayer slip and uplift", Struct. Eng. Mech., 34(6), 667-683.   DOI
21 Kroflic, A., Planinc, I., Saje, M., Turk, G. and Cas, B. (2010b), "Non-linear analysis of two-layer timber beams considering interlayer slip and uplift", Eng. Struct., 32, 1617-1630.   DOI   ScienceOn
22 Perko, L. (2001), Differential Equations and Dynamical Systems, Third Edition, Springer-Verlag, New York.
23 Kroflic, A., Saje, M. and Planinc, I. (2011), "Non-linear analysis of two-layer beams with interlayer slip and uplift", Comput. Struct., 89(23-24), 2414-2424.
24 McCutheon, W.J. (1986), "Stiffness of framing members with partial composite action", J. Struct. Eng., ASCE, 112(7), 1623-1637.   DOI   ScienceOn
25 Nguyen, N.T., Oehlers, D.J. and Bradford, M.A. (2001), "An analytical model for reinforced concrete beams with bolted side plates accounting for longitudinal and transverse partial interaction", Int. J. Solids Struct., 38, 6985-6996.   DOI   ScienceOn
26 Ranzi, G., Gara, F. and Ansourian, P. (2006), "General method of analysis for composite beams with longitudinal and transverse partial interaction", Comput. Struct., 84, 2373-2384.   DOI   ScienceOn
27 Ranzi, G., Dall'Asta, A., Ragni, L. and Zona, A. (2010), "A geometric nonlinear model for composite beams with partial interaction", Eng. Struct., 32, 1384-1396.   DOI   ScienceOn
28 Reissner, E. (1972), "On one-dimensional finite-strain beam theory: The plane problem", J. Appl. Mech. Phy. (ZAMP), 23, 795-804.   DOI   ScienceOn
29 Schnabl, S., Planinc, I., Saje, M., Cas, B. and Turk, G. (2006), "An analytical model of layered continuous beams with partial interaction", J. Struct. Eng. Mech., 22(3), 263-278.   DOI
30 Schnabl, S., Saje, M., Turk, G. and Planinc, I. (2007), "Analytical solution of two-layer beam taking into account interlayer slip and shear deformation", J. Struct. Eng. ASCE, 133(6), 886-894.   DOI   ScienceOn