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TECHNICAL PAPERS

An Elastic-Perfectly Plastic Flow Model for Finite Element Analysis of Perforated Materials

[+] Author and Article Information
D. P. Jones, J. L. Gordon, D. N. Hutula, D. Banas, J. B. Newman

Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122

J. Pressure Vessel Technol 123(3), 265-270 (Aug 30, 2000) (6 pages) doi:10.1115/1.1357538 History: Received May 17, 2000; Revised August 30, 2000
Copyright © 2001 by ASME
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References

ABAQUS: Theory Manual Version 5.7, 1997, Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, RI.
Gordon, J. L., Jones, D. P., Banas D., and Hutula, D. N., 1999, “A Collapse Surface for a Perforated Plate with an Equilateral Triangular Array of Penetrations,” ASME PVP-Vol. 385, Computer Technology—1999, pp. 125–134; also to be published; 2001, ASME J. Pressure Vessel Technol., 123 , Nov.
Mendelson, A., 1968, Plasticity: Theory and Application, The MacMillan Co., New York, NY.
Simo, J. C., and Taylor, R. L., 1985, “Consistent Tangent Operators for Rate-Independent Elastoplasticity,” Computer Methods in Applied Mechanics and Engineering, Vol. 48, pp. 101–118.
Owen, D. R. J., and Hinton, E., 1980, Finite Elements in Plasticity: Theory and Practice, Pineridge Press Limited, Swansea, U.K.
Zienkiewicz, O. C., and Taylor, R. L., 1991, The Finite Element Method, Fourth Edition, Vol. 2, Solid and Fluid Mechanics Dynamics and Nonlinearity, McGraw-Hill Book Company, London, England.
Dodds, R. H. Jr., 1987, “Numerical Techniques for Plasticity Computations in Finite Element Analysis,” Computers and Structures, Vol. 26, No. 5, pp. 767–779.
Keppel, M., and Dodds, R. H. Jr., 1990, “Technical Note: Improved Numerical Techniques for Plasticity Computations in Finite Element Analysis,” Computers and Structures, Vol. 36, No. 1, pp. 183–185.
Sauve, R. G., Badie, N., and Lovie, T. G., 1998, “A Material Model and Algorithm for Three-Dimensional Anisotropy Elastoplasticity,” ASME PVP-Vol. 370, Finite Element Applications: Linear, Non-Linear, Optimization and Fatigue and Fracture, pp. 165–173.
Slot, T., 1972, “Stress Analysis of Thick Perforated Plates,” Ph.D. thesis, Dept. of Mechanical Engineering, The University of Technology Delft, The Netherlands, Technomic Publishing Co., Inc.
MATHEMATICA 3.0 for Silicon Graphics, 1997, A System for Doing Mathematics by Computer, Wolfram Research, Inc., Champaign, IL.

Figures

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Triangular penetration pattern
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Return mapping procedure
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Unit cell verification problems
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FEA model for unit cell analysis
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EQS FEA unit cell model
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Slice model location in infinite plate
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EPP-EQS model for the slice problem
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Deformed geometry for the explicit model
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Deformed geometry for the EQS model
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Load deflection plot for the slice problem

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