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TECHNICAL PAPERS

Plastic Deformation of a Perforated Sheet With Nonuniform Circular Holes Along the Thickness Direction

[+] Author and Article Information
Fuh-Kuo Chen, Yi-Che Lee

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, ROC

J. Eng. Mater. Technol 124(4), 434-439 (Sep 30, 2002) (6 pages) doi:10.1115/1.1493805 History: Received June 19, 2001; Revised February 03, 2002; Online September 30, 2002
Copyright © 2002 by ASME
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References

Gardner,  K. A., 1948, “Heat Exchanger Tube Sheet Design,” ASME J. Appl. Mech., 70, pp. 377–385.
Doerschuk,  E. E., Moscony,  J. J., and Weber,  D. M., 1948, “Shadow-mask Etching for Data-display Tubes,” RCA Eng., 29(2), pp. 67–73.
O’Donnell,  W. J., and Langer,  B. F., 1962, “Design of Perforated Plates,” ASME J. Ind., 84, pp. 307–320.
Horvey,  G., 1952, “The Plane-stress Problem of Perforated Sheet,” ASME J. Appl. Mech., 74, pp. 355–360.
O’Donnell,  W. J., and Porowski,  J., 1973, “Yield Surface for Perforated Materials,” ASME J. Appl. Mech., 37, pp. 260–268.
Sawczuk,  A., O’Donnell,  W., and Porowski,  J., 1975, “Plastic Analysis of Perforated Plates for Orthotropic Yield Criteria,” Int. J. Mech. Sci., 17, pp. 411–421.
Chen,  F. K., 1993, “Analysis of Plastic Deformation for Sheet Metals with Circular Perforations,” J. Mater. Process. Technol., 37, pp. 175–188.
Baik,  S. C., Oh,  K. H., and Lee,  D. N., 1995, “Forming Limit Diagram of Perforated Sheet,” Scr. Metall. Mater., 33, pp. 1201–1207.
Baik,  S. C., Oh,  K. H., and Lee,  D. N., 1996, “Analysis of the Deformation of a Perforated Sheet Under Uniaxial Tension,” J. Mater. Process. Technol., 58, pp. 139–144.
Baik,  S. C., Han,  H. N., Lee,  S. H., Oh,  K. H., and Lee,  D. N., 1997, “Plastic Behavior of Perforated Sheets Under Biaxial Stress State,” Int. J. Mech. Sci., 39, pp. 781–793.
Isida,  M., and Igawa,  H., 1991, “Analysis of a Zig-zag Array of Circular Holes in an Infinite Solid Under Uniaxial Tension,” Int. J. Solids Struct., 27, pp. 849–864.
Lee,  Y. C., and Chen,  F. K., 2000, “Yield Criterion for a Perforated Sheet with a Uniform Triangular Pattern of Round Holes and a Low Ligament Ratio,” J. Mater. Process. Technol., 103, pp. 353–361.
Nadai, A., 1950, Theory of Flow and Fracture of Solids, McGraw-Hill, New York.

Figures

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Geometry of the nonuniform circular hole
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Triangular pattern of circular holes showing yielding along the minimum ligament width
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(a) Nonuniform circular hole and (b) the equivalent uniform circular hole
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Circular holes arranged in a triangular pattern
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Values of k for various ligament ratios
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Finite element models for a unit cell
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Apparent stress and strain relation obtained from FEM for uniaxial tension in the y direction
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Apparent stress and strain relation obtained from experiments for uniaxial tension in the y direction
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Comparison of apparent yield stress ratios (Yx/Yy)
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Comparison of apparent yield stress ratios (Y45/Yb)
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Comparison of the apparent strain ratios Rx
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Comparison of the apparent strain ratios Ry

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