Finite Element Corroboration of Buckling Phenomena Observed in Corrugated Boxes<sup>1</sup>

Authors

  • Thomas J. Urbanik
  • Edmond P. Saliklis

Keywords:

FEA, postbuckling, box compression strength, paperboard, plates

Abstract

Conventional compression strength formulas for corrugated fiberboard boxes are limited to geometry and material that produce an elastic postbuckling failure.Inelastic postbuckling can occur in squatty boxes and trays, but a mechanistic rationale for unifying observed strength data is lacking. This study combines a finite element model with a parametric design of the geometry and material characteristics affecting the critical buckling stress of box panels to examine their postbuckling response. The finite element model enables a broad scope of simulated panels to be examined economically. Results lead to a postbuckling model fit to the predictions and a better understanding of how to unify elastic and inelastic failure data from actual experiments and form a more general box strength formula.

References

Batelka, J. J., and C. N. Smith. 1993. Package compression model. Containerboard and Kraft Paper Group, Project 3746, Final Report. February. American Forest & Paper Association, Washington, DC.nBulson, P. S. 1969. The stability of flat plates. American Elsevier Publishing Company, Inc., New York, NY.nGerand, G. 1957. Handbook of structural stability. Part IV. Failure of plates and composite elements. Natl. Adv. Comm. for Aeronautics, Tech. Note 3874. August.nHutten, M., and P. Brodeur. 1995. MD and CD properties of linerboard components and the resulting box stacking performance. Containerboard and Kraft Paper Group Project 3712, Final Report, July. American Forest & Paper Association, Washington, DC.nJohnson, M. W., Jr., and T. J. Urbanik. 1987. Buckling of axially loaded, long rectangular plates. Wood Fiber Sci.19(2):135-146.nMcKee, R. C., J. W. Gander, and J. R. Wachuta. 1963. Compression strength formula for corrugated boxes. Paperboard Packaging (August).nShick, P. E., and N. C. S. Chari. 1965. Top-to-bottom compression for double wall corrugated boxes. Tappi J.48(7):423-430.nUrbanik, T. J. 1990. Correcting for instrumentation with corrugated fiberboard edgewise crush test theory. Tappi J.73(10):263-268.nUrbanik, T. J. 1992. Effect of in-plane shear modulus of elasticity on buckling strength of paperboard plates. Wood Fiber Sci.24(4):381-384.nUrbanik, T. J. 1996a. Machine direction strength theory of corrugated fiberboard. J. Comp. Technol. Res.18(2):80-88.nUrbanik, T. J. 1996b. Review of buckling mode and geometry effects on postbuckling strength of corrugated containers. Development, validation, and application of inelastic methods for structural analysis and design, Pressure Vessels and Piping, 343:85-94. American Society of Mechanical Engineers.nUrbanik, T. J. 1997. Linear and nonlinear material effects on postbuckling strength of corrugated containers. App. Mech. Div. vol. 221/MD vol. 77, Mechanics of Cellulosic, American Society of Mechanical Engineers. Pp. 93-99.nUrbanik, T. J. 2001. Effect of corrugated flute shape on fiberboard edgewise crush strength and bending stiffness. J. Pulp Paper Sci.27(10):330-335.n

Downloads

Published

2007-06-05

Issue

Number 3 / July 2003

Section

Research Contributions

License

The copyright of an article published in Wood and Fiber Science is transferred to the Society of Wood Science and Technology (for U. S. Government employees: to the extent transferable), effective if and when the article is accepted for publication. This transfer grants the Society of Wood Science and Technology permission to republish all or any part of the article in any form, e.g., reprints for sale, microfiche, proceedings, etc. However, the authors reserve the following as set forth in the Copyright Law:

1. All proprietary rights other than copyright, such as patent rights.

2. The right to grant or refuse permission to third parties to republish all or part of the article or translations thereof. In the case of whole articles, such third parties must obtain Society of Wood Science and Technology written permission as well. However, the Society may grant rights with respect to Journal issues as a whole.

3. The right to use all or part of this article in future works of their own, such as lectures, press releases, reviews, text books, or reprint books.