Plastic Deformation of a Perforated Sheet With Non-Uniform Circular Holes Along the Thickness Direction
Author:
Chen Fuh-Kuo1, Lee Yi-Che1
Affiliation:
1. Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, ROC
Abstract
For a perforated sheet with circular holes, used in shadow masks, the diameter of the circular hole varies through the thickness, and the non-uniform circular holes are arranged in a triangular pattern. In order to simplify the analysis, a perforated sheet with equivalent circular holes of uniform diameter is proposed such that its plastic behavior is similar to that with the given non-uniform circular holes. In this study, a yield criterion is discussed for the perforated sheet with uniform circular holes by employing an equivalent continuum approach, which is then applied to examine the plastic deformation of the perforated sheet with non-uniform circular holes. The analytical results predicted by the theory, including those for the apparent yield stresses and strain ratios, are verified by the results obtained from the finite element analysis and also from experiments.
Publisher
ASME International
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science
Reference13 articles.
1. Gardner, K. A. , 1948, “Heat Exchanger Tube Sheet Design,” ASME J. Appl. Mech., 70, pp. 377–385. 2. 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. 3. O’Donnell, W. J., and Langer, B. F., 1962, “Design of Perforated Plates,” ASME J. Eng. Ind., 84, pp. 307–320. 4. Horvey, G. , 1952, “The Plane-Stress Problem of Perforated Sheet,” ASME J. Appl. Mech., 74, pp. 355–360. 5. O’Donnell, W. J., and Porowski, J., 1973, “Yield Surface for Perforated Materials,” ASME J. Appl. Mech., 37, pp. 260–268.
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