A Finite Element Investigation of the Role of Adhesive in the Buckling Failure of Corrugated Fiberboard
Keywords:Corrugated fiberboard, buckling, finite element, adhesive
AbstractConsiderable research has focused on the role of linerboard and medium components in the overall strength of fiberboard. However, limited research has been done on the role of the adhesive in the structural performance of corrugated fiberboard and the container box. This research study proposed to include the glue material in a finite element (FE) model that represents the actual geometry and material properties of corrugated fiberboard. The model is a detailed representation of the different components of the structure (adhesive, linerboard, medium) to perform buckling analysis of corrugated structures under compressive loads. The objective of this analysis was to quantify the influence of the adhesive on the structural performance of corrugated fiberboard. Adhesive parameters are identified in terms of material properties. The modulus of elasticity of the adhesive is taken relative to the modulus of a linerboard material. Three adhesive stiffness properties representing minimum, medium, and maximum moduli values are considered. The analysis also addresses the buckling failure of fiberboard when adhesion is ineffective along a glueline. Results show that increasing the adhesive modulus (20 times that of linerboard) tends to strengthen the fiberboard buckling carrying capacity up to 50%. Loss of adhesive along a fiberboard glueline also substantially decreases the buckling strength of the structure.
Bathe, K. J. 1982. Finite element procedures in engineering analysis. Prentice-Hall, NJ. Pp. 672-696.nBulson, P. S. 1969. The stability of flat plates. American Elsevier, NY. Pp. 406-423.nByrd, V. L. 1984. Edgewise compression creep of fiber-board components in a cyclic-relative-humidity environment. Tappi J.67(7):86-90.nByrd, V. L. 1986. Adhesive's influence on edgewise compression creep in a cyclic relative humidity environment. Tappi J.69(10):98-100.nConsidine, J. M, D. E. Gunderson, P. Thelin, and C. Fellers. 1989. Compressive creep behavior of paper-board in a cyclic humidity environment—Exploratory experiment. Tappi J.72(1).nConsidine, J. M, D. L Stoker, T. L. Laufenberg, and J. W. Evans. 1992a. Compressive behavior of corrugating components as affected by humidity environment. CKPG Project 3686-1 Phase I Report, Internal Forest Prod. Lab. Rep., Madison, WI.nConsidine, J. M, D. L Stoker, T. L. Laufenberg, and J. W. Evans. 1992b. Compressive creep behavior of corrugating components as affected by humidity environment. Tappi J.77(1).nCook, R. D., D. Malkus, and M. Plesha. 1989. Concepts and applications of finite element analysis. John Wiley & Sons, New York, NY. Pp. 429-448.nGilchrist, A. C. 1995. Finite element modeling of corrugated board structures. M.S. thesis, Auburn University, Auburn, AL. 75 p.nGunderson, D. E., J. M. Considine, and C. T. Scott. 1986. The compressive load-strain curve of paperboard: Rate of load and humidity effects. J. Pulp Paper Sci.14(2):37-41.nHahn, E. K., A. Deruvo, B. S. Westrlind, and L. A. Carlsson. 1992. Compressive strength of edge-loaded corrugated board panels. Exp. Mech.49:259-265.nInoue, M. 1989. The z-directional strength of the fluted medium. Tappi J.72(3):197-198.nJohnson, M. J. Jr., and T. J. Urbanik. 1987. Buckling of axially loaded, long rectangular paperboard plates. Wood Fiber Sci.19(2): 135-146.nJohnson, M. W., and T. Urbanik. 1989. Analysis of the localized buckling in composite plate structures with application to determining the strength of corrugated fiber-board. J. Composites Technol. Res.11(4):121-128.nKuskowski, S. J., S. K. Lee, and S. P. Verrill. 1995a. Hygroexpansivity-papermaking variables and corrugated container stacking behavior. CKGP Project of the American Forest and Paper Association. Project 3686-1 Phase 3. Pp. 10-11.nKuskowski, S. J., S. K. Lee, and S. P. Verrill. 1995b. Hygroexpansivity-papermaking variables and corrugated container stacking behavior. CKGP Project of the American Forest and Paper Association. Project 3686-1 Phase 3. p. 32.nLeake, C. H., and R. Wojcik. 1988. Influence of the combining adhesive on box performance. Pages 43-47 in TAPPI Proc.: 1988 Corrugated Containers Conference. October 24-27, Marriott World Center, Orlando, FL.nMarsh, H. W., and C. B. Smith. 1945. Buckling loads of flat sandwich panels in compression. No. 1525, USDA, Forest Serv., Forest Prod. Lab., Madison, WI. Army-Navy-Civil Committee on Aircraft Design Criteria under the Supervision of the Aeronautical Board. 10 pp.nRahman, A. A. 1997. Finite element buckling analysis of corrugated fiberboard panels. ASME, Mechanics of Cellulosic Materials, AMD-Vol. 221/MD-Vol. 77. Pp. 87-92.nUrbanik, T. J. 1981. Effect of paperboard stress-strain characteristics on strength of singlewall corrugated: A theoretical approach fiberboard. Research paper FPL 401. P. 7.nUrbanik, T. J. 1995. Hygroexpansion—creep model for corrugated fiberboard. Wood Fiber Sci.27(2):134-140.nUrbanik, T. J. 1996. Review of buckling mode and geometry effects on postbuckling strength of corrugated containers. Pages 85-94, Vol. 343in R. F. Sammataro, D. J. Ammerman, eds., Development, validation, and application of inelastic methods for structural analysis and design. Proc. ASME International Mechanical Engineering Congress and Exposition; 1996, November 17-22, Atlanta, GA. The American Society of Mechanical Engineers, New York, NY.nUrbanik, T. J., S. K. Lee, T. L. Laufenberg, and S. P. Verril. 1993. Combined board performance under cyclic humidity conditions. Task II—Combined board testing. May. Report to Containerboard & Kraft Paper Group of the American. 36 pp.n
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