Elastic-Plastic Flange Wrinkling of Circular Plates in Deep Drawing Process

Abstract:

This paper deals with two-dimensional plane stress wrinkling model of elastic/plastic annular plate. Based on energy method and nonlinearity of strain-displacement law, a bifurcation functional in polar coordinate is derived analytically. This technique leads to the critical conditions for the onset of the elastic/plastic wrinkling of the flange during the deep-drawing process. Tresca yield criterion along with deformation theory of plasticity are utilized and the material of the plate is assumed to behave perfectly plastic. Moreover, the influence of the blankholder upon wrinkling and on the number of the generated waves is quantitatively predicted by the suggested scheme. The main advantage of the proposed solution is its better agreement with the experimental and analytical results found by the other resarchers.

• Periodical: Key Engineering Materials (Volumes 462-463)
• Pages: 200-206
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.462-463.200
• Online since: January 2011
• Authors: Farzad Moayyedian, Mehran Kadkhodayan
• Keywords: Bifurcation Functional, Circular Plate, Deep-Drawing Process, Elastic/Plastic Wrinkling, Energy Method

References

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[2] E. Chu and Y. Xu: Journal of Mechanics and Physics of Solids, Vol. 43 (2001), p.1421.

[3] J.P. Corria and G. Ferron: Journal of Materials and Processing Technology, Vol. 155-156 (2004), p.1604.

[4] J.N. Reddy: Energy Principles and Variation Methods in Applied Mechanics (John Wiley & Sons 2002).

[5] A. Khan and S. Hung: Continuum theory of plasticity (John Wiley & Sons 1995). Fig. 1 Deep drawing process with cylindrical punch. Fig. 2 The flange is modeled as an annular plate with radial stress distribution in their inner edges. Fig. 3 The waves produce in the flange.

0. 1 0. 2 0. 3 0. 4 0. 5 0. 6.

[2] [4] [6] [8] [10] [12] [1] - a / b n Fig. 4 The number of waves for the elastic wrinkling of the flang. Fig. 5 The critical load for the elastic wrinkling of the flange.

0. 05 0. 1 0. 15 0. 2 0. 25 0. 3 0. 35 0. 4.

[2] [4] [6] [8] [10] [12] [14] [16] [18] [1] - a / b n Present Result Yu's Result Experimental Results Fig. 6 Comparing the onset of elastic wrinkling for steel and Aluminium. Fig. 7 The number of generated waves in the plastic flange wrinkling of the annular plate. Fig. 8 The limitation of plastic wrinkling for the flange. Fig. 9 Comparing the onset of plastic wrinkling for steel and Aluminium. Fig. 10. Number of the generated waves in the flange with Blankholder. Fig. 11. The onset of the plastic wrinkling for different Blankholder.

DOI: 10.1016/j.scient.2011.03.020