Advanced Steel Construction

Vol. 4, No. 3, pp. 230-242 (2008)


PRACTICAL ANALYSIS PROCEDURE FOR COMPRESSIVE LOCAL BUCKLING OF SKIN SHEETS IN COMPOSITE PANELS

 

X. Ma 1, J.W. Butterworth 2, * and G.C. Clifton 3

1 Postdoctoral Research Fellow, Department of Civil and Environmental Engineering, University of Auckland, Auckland, New Zealand

2 Associate Professor, Department of Civil and Environmental Engineering,

University of Auckland, Auckland, New Zealand

* (Corresponding author: Email: This email address is being protected from spambots. You need JavaScript enabled to view it.)

3 Associate Professor, Department of Civil and Environmental Engineering,

University of Auckland, Auckland, New Zealand

Received: 30 April 2007; Revised: 27 September 2007; Accepted: 3 October 2007

 

DOI:10.18057/IJASC.2008.4.3.5

 

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ABSTRACT

  This paper addresses the problem of determining the relationship between the properties of a composite wall panel, consisting of a thin sheet steel outer skin filled with light weight concrete or similar material, and the initiation of skin buckling. The skin sheet, considered as an infinite thin plate with two clamped lateral edges resting on a tensionless Winkler foundation, is simplified to a one-dimensional mechanical model by assuming a buckling mode function in terms of the lateral coordinates. After the governing differential equations for the plate sections in the contact and non-contact regions have been solved, the problem reduces to two nonlinear algebraic equations. Practical formulas for the buckling coefficient are developed in terms of a non-dimensional filler stiffness factor, defined in terms of the filler properties and its thickness to width ratio. Comparison of the results with existing theory and finite element analyses show good agreement.

 

KEYWORDS

Compressive buckling; tensionless Winkler foundations; clamped rectangular plates; local buckling; composite panels


REFERENCES

[1]      Co, C., “Bifurcation Theory for Elastic Plates Subjected to Unilateral Conditions”, Journal of Mathematical Analysis and Applications, 1977, Vol. 60, No. 2, pp. 435-448.

[2]      Shahwan, K.W. and Waas, A.M., “A Mechanical Model for the Buckling of Unilaterally Constrained Rectangular Plates”, International Journal of Solids and Structures, 1994, Vol. 31, No. 1, pp. 75-87.

[3]      Smith, S.T., Bradford M.A. and Oehlers, D.J., “Numerical Convergence of Simple and Orthogonal Polynomials for the Unilateral Plate Buckling Problem Using the Rayleigh-Ritz Method”, International        Journal for Numerical Methods in Engineering, 1999, Vol. 44, No. 11, pp. 1685-1707.

[4]       Wright, H.D., “Local Stability of Filled and Encased Steel Section”, Journal of Structural Engineering, ASCE, 1995, Vol. 12, No. 1, pp. 1382-1388.

[5]       Uy, B. and Bradford M.A., “Elastic Local Buckling of Steel Plates in Composite Steel-Concrete Members”, Engineering Structures, 1996, Vol. 18, No. 3, pp.193-200.

[6]       Smith, S.T., Bradford M.A. and Oehlers, D.J., “Local Buckling of Side-plated Reinforced-Concrete Beams I: Theoretical Study”, Journal of Structural Engineering, ASCE, 1999, Vol. 125, No. 6, pp. 625-634.

[7]      Smith, S.T., Bradford M.A. and Oehlers, D.J., “Local Buckling of Side-plated Reinforced-Concrete Beams II: Experimental Study”, Journal of Structural Engineering, ASCE, 1999, Vol. 125, No. 6, pp. 635-643.

[8]       Smith, S. T., Bradford M. A. and Oehlers, D.J., “Elastic Buckling of Unilaterally Constrained Rectangular Plates in Pure Shear”, Engineering Structures, 1999, Vol. 21, No.5, pp. 443-453.

[9]       Chai, H., “Contact Buckling and Postbuckling of Thin Rectangular Plates”, Journal of Mechanics and Physics of Solids, 2001, Vol. 49, No. 2, pp.209-230.

[10]    Ma, X., Butterworth, J.W. and Clifton, G.C., “Elasto-plastic Postbuckling Analysis of Plates Resting on Tensionless Foundations”, Proceedings of 19th Australasian Conference on the Mechanics of Structures and Materials, Christchurch, New Zealand, 2006, pp. 103-108.

[11]    Chai, H., Babcock, C.D. and Knauss, W.G., “One Dimensional Modeling of Failure in Laminated Plates by Delamination Buckling”, International Journal of Solids and Structures, 1981, Vol. 17, No. 11, pp. 1069-1083.

[12]    Shahwan, K.W. and Waas, A.M., “Buckling on Unilaterally Constrained Infinite Plates”, Journal of Engineering Mechanics, ASCE, 1998, Vol. 124, No. 2, pp. 127-136.

[13]    Holanda, A.S. de, Goncalves, P.B., “Postbuckling Analysis of Plates Resting on a Tensionless Elastic Foundation”, Journal of Engineering Mechanics, ASCE, 2003, Vol. 129, No. 4, pp. 438-448.

[14]    Shen, H. and Li, Q.S., “Postbuckling of Shear Deformable Laminated Plates Resting on a Tensionless Elastic Foundation Subjected to Mechanical or Thermal Loading”, International Journal of Solids and Structures, 2004, Vol. 41, No.16-17, pp. 4769-4785.

[15]    Ma, X., Butterworth, J.W. and Clifton, G.C., “Compressive Buckling Analysis of Plates in Unilateral Contact”, International Journal of Solids and Structures, 2007, Vol. 44, No. 9, pp. 2852-2862.

[16]    Bloom, F. and Coffin, D., “Handbook of Thin Plate Buckling and Postbuckling”, Chapman & Hall/CRC, 2001.

[17]    AS/NZS 4600:1996. Australian/New Zealand Standard, “Cold-formed Steel Structures”, Standards New Zealand and Standards Australia.