A collapse surface is developed for use in limit-load analysis of plates containing a large number of small circular penetrations arranged in an equilateral triangular array of holes with a ligament efficiency of 0.31733. The collapse surface is obtained by calculating the limit load for a unit cell model of the penetration pattern using a three-dimensional elastic-perfectly plastic [EPP] finite element analysis [FEA] computer program. The EPP response from incipient yielding to plastic collapse for the unit cell is obtained for a sufficient number of load cases to define the complete collapse surface. The collapse surface is expressed analytically by using a fourth-order function that incorporates the periodicity dictated by the triangular hole pattern. The coefficients of the fourth-order function were obtained by statistically fitting the collapse surface generated by the EPP-FEA results. The resulting collapse surface was shown to be appropriate for development of an EPP-EQS theory for perforated plates. The analytic surface agrees to within 7 percent of the actual collapse surface obtained by EPP-FEA of the unit cell representing the penetration.
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A Collapse Surface for a Perforated Plate With an Equilateral Triangular Array of Penetrations
J. L. Gordon, Mem. ASME,
e-mail: gordonjl@bellatlantic.net
J. L. Gordon, Mem. ASME
Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122
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D. P. Jones, Mem. ASME,
D. P. Jones, Mem. ASME
Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122
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D. Banas,
D. Banas
Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122
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D. N. Hutula
D. N. Hutula
Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122
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J. L. Gordon, Mem. ASME
Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122
e-mail: gordonjl@bellatlantic.net
D. P. Jones, Mem. ASME
Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122
D. Banas
Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122
D. N. Hutula
Bechtel Bettis, Inc., Bettis Atomic Power Laboratory, West Mifflin, PA 15122
Contributed by the Pressure Vessels and Piping Division and presented at the Pressure Vessels and Piping Conference (Joint w/ICPVT), Boston, Massachusetts, August 1–5, 1999, of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the PVP Division, May 17, 2000; revised manuscript received August 30, 2000. Editor: S. Y. Zamrik.
J. Pressure Vessel Technol. May 2002, 124(2): 201-206 (6 pages)
Published Online: May 1, 2002
Article history
Received:
May 17, 2000
Revised:
August 30, 2000
Online:
May 1, 2002
Citation
Gordon, J. L., Jones, D. P., Banas , D., and Hutula, D. N. (May 1, 2002). "A Collapse Surface for a Perforated Plate With an Equilateral Triangular Array of Penetrations ." ASME. J. Pressure Vessel Technol. May 2002; 124(2): 201–206. https://doi.org/10.1115/1.1357537
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