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TECHNICAL PAPERS

A Computational Mechanics Model for the Brim Forming Process in Paperboard Container Manufacturing

[+] Author and Article Information
M. K. Ramasubramanian, K. Muthuraman

Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695

J. Manuf. Sci. Eng 125(3), 476-483 (Jul 23, 2003) (8 pages) doi:10.1115/1.1580527 History: Received September 01, 2002; Revised April 01, 2003; Online July 23, 2003
Copyright © 2003 by ASME
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References

Suhling, J. C., Luo, S., and Laufenberg, T. L., 1995, “Bending and Twisting Tests for Measurements of the Stiffness of Corrugated Board,” Mechanics of Cellulosic Materials 1995, AMD Vol. 209/MD-Vol. 60, pp. 91–109.
Mann,  R. W., Baum,  G. A., and Habeger,  C. C., 1980, “Determination of All Nine Orthotropic Constants for Machine-made Paper,” Tappi J., February, 63(2), pp. 163–166.
Suhling, J. C., Johnson, M. W., Rowlands, R. E., and Gunderson, D. E., 1989, “Nonlinear Elastic Constitutive Relations for Cellulosic Materials,” Mechanics of Cellulosic Materials ASME 1989, AMD Vol. 99/MD-Vol. 13, pp. 1–13.
Carlsson,  L. , 1982, “Finite Element Analysis of the Creasing and Bending of Paper,” Svensk Papperstidning, 85(15), pp. R121–126.
Suhling, J. C., and Liang, S., 1997, “Finite Element and Experimental Study of the Embossing of Low Basis Weight Papers,” Mechanics of Cellulosic Materials, ASME 1997, AMD Vol. 221/MD-Vol. 77, pp. 55–68.
Ramasubramanian, M. K., and Ko, Y. C., 1989, “Relationship Between the In-Plane Paper Properties and the Ball Burst Strength,” Mechanics of Cellulosic and Polymeric Materials, Perkins R. W., ed., ASME, AMD Vol. 99, pp. 55–68.
Swecker, M. D., 1996, “Design of Mechatronic Device for High Speed Automated Brim Curling of Paper Containers,” M.S. Thesis, Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC.
Ramasubramanian,  M. K., and Swecker,  M. D., 1997, “Mechanics of Brim Forming in Paperboard Containers—An Experimental Investigation,” J. Physiol. (London), 27(4), pp. 113–11.
Lubkin, J. L., 1962, “Contact Problems,” Handbook of Engineering Mechanics, Flugge W., ed., Chapter 42, pp. 1–12, McGraw Hill.
Bathe,  K. J., and Chaudhary,  A., 1985, “A Solution Method for Planar and Axisymmetric Contact Problems,” Int. J. Numer. Methods Eng., 21, pp. 65–88.
Hill, R., 1950, Mathematical Theory of Plasticity, ed., Oxford University Press.
Seo,  Y. B., Castagnede,  B., and Mark,  R. E., 1992, “An Optimization Approach for the Determination of In-plane Elastic Constants of Paper,” Tappi J., November pp.209–214.
Suhling,  J. C., Rowlands,  R. E., Johnson,  M. W., and Gunderson,  D. E., 1985, “Tensorial Strength Analysis of Paperboard,” Exp. Mech., 25(1), pp. 75–84.
ABAQUS/Standard Users Manual Volume 1, Section 11.2.5–1-11.2.5-3., Version 5.8, 1998. Hibbitt, Karlsson & Sorenson, Inc.

Figures

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Paperboard cup shell before brim forming
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Geometry of the upper die in brim forming
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Schematic of the brim forming process
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Manufacturing defect-periodic brim cracking
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One quarter of the cup meshed with shell elements
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Material stress strain curves in different directions to the machine direction
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Deformed 3D mesh indicating periodic wrinkles in the hoop direction
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Axi-symmetric model deformation
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Force predicted by 2D simulation
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Experimentally measured forming force versus time
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Forming force predicted by 3D simulation
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Element stresses located at the bottom edge of the model
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Element stresses located at the top edge of the model
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Typical element stresses located at 1/3rd of the distance from the top edge to the bottom edge.
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Effect of friction between the paperboard and die surface on the forming force
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Effect of friction on the interlaminar shear stress
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Effect of die profile on the forming force
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Effect of relative change in board stiffness on forming force simulating the effects of temperature and humidity

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