Effect of in-Plane Shear Modulus of Elasticity on Buckling Strength of Paperboard Plates

Authors

  • Thomas J. Urbanik

Keywords:

Plates, elastic stability, buckling, shear modulus, paper

Abstract

In previous research, a thin-plate theory was derived for analyzing corrugated fiberboard under edgewise compression and subjected to localized buckling. In this note, buckling formulas for thin paperboard plates characterized by an approximate in-plane shear modulus of elasticity are further generalized to allow for arbitrary levels of shear modulus. The results have applications in the design of paper products made of composite plates.

References

Huffington, N. J., Jr. 1956. Theoretical determination of rigidity properties of orthogonally stiffened plates. J. Appl. Mech. March: 15-20.nJohnson, M. W., Jr., and T. J. Urbanik. 1984. A non-linear theory for elastic plates with applications to characterizing paper properties. J. Appl. Mech. 51(3):145-152.nJohnson, M. W., Jr., and T. J. Urbanik. 1987. Buckling of axially loaded, long rectangular paperboard plates. Wood Fiber Sci. 19(2):135-146.nJohnson, M. W., Jr., and T. J. Urbanik. 1989. Analysis of the localized buckling in composite plate structures with application to determining the strength of corrugated fiberboard. ASTM J. Composites Technol. & Res. 11(4):121-127.nSetterholm, V. C. 1985. FPL spaceboard—A new structural sandwich concept. Tappi J. 66(6):40-42.nSuhling, J. C., D. E. Gunderson, M. W. Johnson, and R. E. Rowlands. 1989. Nonlinear elastic constitutive relations for cellulosic materials. In Proceedings, 3rd joint ASCE/ASME Mechanics Conf., July 1-15 1989.n

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Published

2007-06-28

Issue

Number 4 / October 1992

Section

Research Contributions

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