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.
A Collapse Surface for a Perforated Plate With an Equilateral Triangular Array of Penetrations
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.
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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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