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TECHNICAL PAPERS

Large Axisymmetric Deformations of Elastic/Plastic Perforated Circular Plates

[+] Author and Article Information
D. Wu

Ford Motor Company, Dearborn, MI 48124-4091

J. Peddieson

Department of Mechanical Engineering, Tennessee Technological University, Cookeville, TN 38505

G. R. Buchanan

Civil and Environmental Engineering, Tennessee Technological University, Cookeville, TN 38505

S. G. Rochelle

Eastman Chemical Company, Kingsport, TN 37662

J. Pressure Vessel Technol 125(4), 357-364 (Nov 04, 2003) (8 pages) doi:10.1115/1.1613300 History: Received May 18, 2001; Revised March 21, 2003; Online November 04, 2003
Copyright © 2003 by ASME
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References

Osweiller,  F., 1989, “Evolution and Synthesis of the Effective Elastic Constants Concept for the Design of Tubesheets,” ASME J. Pressure Vessel Technol., 111, pp. 209–217.
Ukadgaonker,  V. G., Kale,  P. A., Agnihotri,  N. A., and Babu,  S., 1996, “Review of Analysis of Tubesheets,” Int. J. Pressure Vessels Piping, 67, pp. 279–297.
O’Donnell,  W. J., and Langer,  B. F., 1962, “Design of Perforated Plates,” ASME J. Eng. Ind., 84, pp. 307–320.
O’Donnell,  W. J., 1967, “A Study of Perforated Plates with Square Penetration Patterns,” Weld. Res. Counc. Bull., 124, pp. 1–13.
Slot,  T., and O’Donnell,  W. J., 1971, “Effective Elastic Constants for Thick Perforated Plates with Square and Triangular Penetration Patterns,” ASME J. Eng. Ind., 93, pp. 935–942.
O’Donnell,  W. J., 1973, “Effective Elastic Constants for the Bending of Thin Perforated Plates with Triangular and Square Penetration Patterns,” ASME J. Eng. Ind., 95, pp. 121–128.
Webb,  D. C., Kormi,  K., and Al-Hassani,  S. T. S., 1995, “Use of FEM in Performance Assessment of Perforated Plates Subjected to General Loading Conditions,” Int. J. Pressure Vessels Piping, 64, pp. 137–152.
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.
O’Donnell,  W. J., and Porowski,  J., 1973, “Yield Surfaces for Perforated Materials,” ASME J. Appl. Mech., 40, pp. 263–270.
Porowski,  J., and O’Donnell,  W. J., 1974, “Effective Plastic Constants for Perforated Materials,” ASME J. Pressure Vessel Technol., 96, pp. 234–241.
Slot,  T., and Branca,  T. R., 1974, “On the Determination of Effective Elastic-Plastic Properties for the Equivalent Solid Plate Analysis of Tube Sheets,” ASME J. Pressure Vessel Technol., 96, pp. 220–227.
Porowski,  J., and O’Donnell,  W. J., 1975, “Plastic Strength of Perforated Plates with Square Penetration Patterns,” ASME J. Pressure Vessel Technol., 97, pp. 146–154.
Koing,  M., 1988, “Yield Surface for Perforated Plates,” Engr. Comp., 5, pp. 224–230.
Rogalska,  E., Kakol,  W., Guerlement,  G., and Lamblin,  D. J., 1997, “Limit Load Analysis of Perforated Disks With Square Penetration Pattern,” ASME J. Pressure Vessel Technol., 119, pp. 122–126.
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.
Reinhardt,  W. D., and Mangalaramanan,  S. P., 2001, “Efficient Tubesheet Design Using Repeated Elastic Limit Analysis Technique,” ASME J. Pressure Vessel Technol., 123, pp. 197–202.
Tekinalp, B., 1955, “Elastic, Plastic Bending of a Simply Supported Circular Plate Under a Uniformly Distributed Load,” Brown University DAM Report CH-6.
Tekinalp,  B., 1956, “Elastic-Plastic Bending of a Built-in Circular Plate Under a Uniformly Distributed Load,” J. Mech. Phys. Solids, 5, pp. 135–142.
Hodge, P. G., 1958, The Mathematical Theory of Plasticity, Wiley, New York.
Haythornthwaite,  R. M., 1954, “The Deflection of Plates in the Elastic-Plastic Range,” Proc. U.S. Nat. Congress Appl. Mech., 2, pp. 521–526.
French,  F. W., 1964, “Elastic-Plastic Analysis of Centrally Clamped Annular Plates Under Uniform Loads,” J. Franklin Inst., 277, pp. 575–592.
Brady, E. F., 1963, “The Elastic-Plastic Bending of an Elastically-Restrained Circular Plate Under a Uniformly Distributed Load,” Ph.D. dissertation, University of Pittsburgh, Pittsburgh, PA.
Srivastava,  N. K., and Sherbourne,  A. N., 1971, “Elastic Plastic Bending of Circular Plates,” ASCE J. Eng. Mech. Div., 97, pp. 13–31.
Popov,  E., Bakht,  M., and Yaghmai,  S., 1967, “Bending of Circular Plates of Hardening Material,” Int. J. Solids Struct., 3, pp. 975–988.
Ohashi,  Y., and Murakami,  S., 1964, “On the Elasto-Plastic Bending of a Clamped Circular Plate Under a Partial Circular Uniform Load,” Bull. JSME, 7, pp. 491–498.
Ohashi,  Y., and Murakami,  S., 1966, “The Elasto-Plastic Bending of a Clamped Thin Circular Plate,” Proc. Int. Cong. Appl. Mech., 11, pp. 212–223.
Turvey,  G. J., and Salehi,  M., 1991, “Computer Generated Elasto-Plastic Design Data for Pressure Loaded Circular Plates,” Comput. Struct., 41, pp. 1329–1340.
Timoshenko, S., and Woinowsky-Krieger, S., 1959, Theory of Plates and Shells, McGraw-Hill, New York.
Budiansky,  B., 1959, “A Reassessment of Deformation Theories of Plasticity,” ASME J. Appl. Mech., 26, pp. 259–264.
Goldberg,  J. E., and Richard,  R. M., 1963, “Analysis of Nonlinear Structures,” J. Struct. Div. ASCE 89, pp. 333–351.
Richard,  R. M., and Abbott,  B. J., 1975, “Versatile Elastic-Plastic Stress-Strain Formula,” ASCE J. Eng. Mech. Div., 101, pp. 511–515.
Blottner,  F. J., 1970, “Finite Difference Methods of Solution of the Boundary Layer Equations,” AIAA J., 8, pp. 193–205.
Wu,  D., Peddieson,  J., and Buchanan,  G. R., 2002, “Elastic Compensation Using Deformation Plasticity Models,” Dev. Theor. Appl. Mech., 21, pp. 1–9.

Figures

Grahic Jump Location
Load versus central deflection, comparison of average of data for seven tests (* ) with elastic/plastic simulation (–) (1 psi=6895 n/m2,1 in=0.0254 m)
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Geometry and coordinate system
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Unaxial stress/strain diagram based on Eqs. (7, 14, and 15)
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Equivalent Young’s modulus vs. perforated plate area fraction
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Load versus central deflection (304 stainless steel; 1 psi=6895 N/m2,1 in=0.0254 m)
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Load versus central deflection (304 stainless steel; 1 psi=6895 N/m2,1 in=0.0254 m)
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Axial displacement profiles (305 stainless steel; 1 in=0.0254 m)
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Radial normal stress profiles (305 stainless steel; 1 in=0.0254 m,1 psi=6895 N/m2)
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Radial moment resultant profiles (305 stainless steel; 1 lb=4.448 N,1 in.=0.0254 m)

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