Development of New Hybrid Shell Element Takinging the Normal Stress into Account

Abstract:

The calculation of the stress distribution in the forming stage of sheet metal forming is critical to the accuracy of springback simulation. In order to improve the accuracy of stress prediction, a new mixed shell element is presented. Two pseudo nodes are added in the thickness direction so that the normal strain can be calculated using the displacements of the nodes. Mixed formulation is used instead of that of pure displacement. As a result, the accuracy of stress prediction is improved. Examples are given to show the improvement.

• Periodical: Applied Mechanics and Materials (Volumes 313-314)
• Pages: 202-205
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.313-314.202
• Online since: March 2013
• Authors: Hong Lu, Wen Huang
• Keywords: Finite Element Method (FEM), Mixed Formulation, Sheet Metal Forming, Shell Element

References

[1] K. J..Bathe: Finite Element Procedures in Enginneering Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, (1998).

[2] H. Parisch, A continuum-based shell theory for non-linear application, Int. J. Numer. Meth. Eng. 38(1995).

[3] J. C. Simo, M.S. Rifai, D.D. Fox, On a stress resultant geometrically exact shell model. Part IV:variable thickness shells with through-the thickness stretching and its finite element implementation, Comput. Methods Appl. Mech. Eng. 81(1990).

DOI: 10.1016/0045-7825(90)90143-a

[4] H. Lu, K. Ito, K. Kazama et al. , Development of a new quadratic shell element considering the normal stress in the thickness direction for simulating sheet metal forming, Journal of Materials Processing Technology , 171(2006).

DOI: 10.1016/j.jmatprotec.2005.06.081

[5] O.C. Zienkiewcz, R. L. Taylor, The Finite Element Method Solid Mechanics. Vol. 2, fifth ed. Butterworth-Heinemann, (2000).