Plastic Deformation of a Perforated Sheet With Non-Uniform Circular Holes Along the Thickness Direction
Source abstract
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.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Metal Forming Simulation Techniques · Geotechnical Engineering and Underground Structures · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, ROC
References (13)
Show source-provided references
1. Gardner, K. A. , 1948, “Heat Exchanger Tube Sheet Design,” ASME J. Appl. Mech., 70, pp. 377–385.10.1115/1.4009861 ↗
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. 307–320.10.1115/1.3667483 ↗
4. Horvey, G. , 1952, “The Plane-Stress Problem of Perforated Sheet,” ASME J. Appl. Mech., 74, pp. 355–360.10.1115/1.4010511 ↗
5. O’Donnell, W. J., and Porowski, J., 1973, “Yield Surface for Perforated Materials,” ASME J. Appl. Mech., 37, pp. 260–268.
6. Sawczuk, A., O’Donnell, W., and Porowski, J., 1975, “Plastic Analysis of Perforated Plates for Orthotropic Yield Criteria,” Int. J. Mech. Sci., 17, pp. 411–421.10.1016/0020-7403(75)90038-7 ↗
7. Chen, F. K. , 1993, “Analysis of Plastic Deformation for Sheet Metals With Circular Perforations,” J. Mater. Process. Technol., 37, pp. 175–188.10.1016/0924-0136(93)90089-O ↗
8. Baik, S. C., Oh, K. H., and Lee, D. N., 1995, “Forming Limit Diagram of Perforated Sheet,” Scr. Metall. Mater., 33, pp. 1201–1207.10.1016/0956-716X(95)00349-Z ↗
9. 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. 139–144.10.1016/0924-0136(95)02096-9 ↗
10. 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. 781–793.10.1016/S0020-7403(96)00091-4 ↗
11. 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. 849–864.10.1016/0020-7683(91)90020-G ↗
12. 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. 353–361.10.1016/S0924-0136(00)00506-9 ↗
13. Nadai, A., 1950, Theory of Flow and Fracture of Solids, McGraw-Hill.