Buckling Loads of Two-Layer Composite Columns with Interlayer Slip and Stochastic Material Properties
Publication: Journal of Engineering Mechanics
Volume 139, Issue 8
Abstract
This paper presents an efficient stochastic buckling model for studying the structural reliability of layered composite columns with interlayer slip between the layers and random material and loading parameters. The model is based on the exact buckling model, response surface method, and Monte Carlo simulations. The probability of failure is investigated for a different number of random variables, sample points, and various degrees of response surfaces. The results show that the probability of failure is considerably affected by the type (deterministic or probabilistic) of the loading and its distribution.
Get full access to this article
View all available purchase options and get full access to this article.
References
Al-deen, S., Ranzi, G., and Vrcelj, Z. (2011). “Full-scale long-term experiments of simply supported composite beams with solid slabs.” J. Constr. Steel Res., 67(3), 308–321.
Amadio, C., and Bedon, C. (2011). “Buckling of laminated glass elements in compression.” J. Struct. Eng., 137(8), 803–810.
Bucher, C. G., and Bourgund, U. (1990). “A fast and efficient response surface approach for structural reliability problems.” J. Struct. Saf., 7(1), 57–66.
Challamel, N., and Girhammar, U. A. (2011a). “Boundary-layer effect in composite beams with interlayer slip.” J. Aerosp. Eng., 24(2), 199–209.
Challamel, N., and Girhammar, U. A. (2011b). “Variationally-based theories for buckling of partial composite beam-columns including shear and axial effects.” Eng. Structures, 33(8), 2297–2319.
Chen, F., and Qiao, P. (2011). “Buckling of delaminated bi-layer beam-columns.” Int. J. Solids Struct., 48(18), 2485–2495.
da Silva, A. R., and Sousa, J. B. M. (2009). “A family of interface elements for the analysis of composite beams with interlayer slip.” Finite Elem. Anal. Des., 45(5), 305–314.
Erkmen, R. E., and Attard, M. M. (2011). “Displacement-based finite element formulations for material-nonlinear analysis of composite beams and treatment of locking behaviour.” Finite Elem. Anal. Des., 47(12), 1293–1305.
Foraboschi, P. (2009). “Analytical solution of two-layer beam taking into account nonlinear interlayer slip.” J. Eng. Mech., 135(10), 1129–1146.
Gavin, H. P., and Yau, S. C. (2008). “High-order limit state functions in the response surface method for structural reliability analysis.” Struct. Saf., 30(2), 162–179.
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.
Kroflič, A., Planinc, I., Saje, M., and Čas, B. (2010). “Analytical solution of two-layer beam including interlayer slip and uplift.” Struct. Eng. Mech., 34(6), 667–683.
Kryžanowski, A., Schnabl, S., Turk, G., and Planinc, I. (2009). “Exact slip-buckling analysis of two-layer composite columns.” Int. J. Solids Struct., 46(14–15), 2929–2938.
Liu, Y.W., and Moses, F. (1994). “A sequential response surface method and its application in the reliability analysis of aircraft structure systems.” Struct. Saf., 16(1–2), 39–46.
Melchers, R. E. (1999). Structural reliability analysis and prediction. Wiley, Chichester, U.K.
Miller, J. F., and Bulleit, W. M. (2011). “Analysis of mechanically laminated timber beams using shear keys. ” J. Struct. Eng., 137(1), 124–132.
Nguyen, Q. H., Hjiaj, M., and Guezouli, S. (2011a). “Exact finite element model for shear-deformable two-layer beams with discrete shear connection.” Finite Elem. Anal. Des., 47(7), 718–727.
Nguyen, Q. H., Martinelli, E., and Hjiaj, M. (2011b). “Derivation of the exact stiffness matrix for a two-layer Timoshenko beam element with partial interaction.” Eng. Structures, 33(2), 298–307.
Perko, L. (2001). Differential equations and dynamical systems, 3rd Ed., Springer-Verlag, New York.
Ranzi, G., Dall’Asta, A., Ragini, L., and Zona, A. (2010). “A geometric nonlinear model for composite beams with partial interaction.” Eng. Structures, 32(5), 1384–1396.
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. Structures, 32(10), 3103–3111.
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. Non-linear Mech., 46(3), 543–553.
Schnabl, S., Planinc, I., Saje, M., Čas, B., and Turk, G. (2006). “An analytical model of layered continuous beams with partial interaction.” Struct. Eng. Mech., 22(3), 263–278.
Schnabl, S., Saje, M., Turk, G., and Planinc, I. (2007a). “Locking-free two-layer Timoshenko beam element with interlayer slip.” Finite Elem. Anal. Des., 43(9), 705–714.
Schnabl, S., Saje, M., Turk, G., and Planinc, I. (2007b). “Analytical solution of two–layer beam taking into account interlayer slip and shear deformation.” J. Struct. Eng., 133(6), 886–894.
Xu, R., and Wu, Y. (2007). “Static, dynamic, and buckling analysis of partial interaction composite members using Timoshenko’s beam theory.” Int. J. Mech. Sci., 49(10), 1139–1155.
Zona, A., Barbato, B., Dall’Asta, A., and Dezi, L. (2010). “Probabilistic analysis for design assessment of continuous steel-concrete composite girders.” J. Constr. Steel Res., 66(7), 897–905.
Zona, A., Barbato, B., Dall’Asta, A., and Dezi, L. (2011). “Finite element models for nonlinear analysis of steel-concrete composite beams with partial interaction in combined bending and shear.” Finite Elem. Anal. Des., 47(2), 98–118.
Zona, A., Barbato, B., and Fragiacomo, M. (2012). “Finite element model updating and probabilistic analysis of timber-concrete composite beams.” J. Struct. Eng., 138(7), 899–910.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 139 • Issue 8 • August 2013
Pages: 961 - 966
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Nov 15, 2011
Accepted: May 23, 2012
Published online: May 25, 2012
Published in print: Aug 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.