Are you expecting find out theoretical or experimental solutions? Question needs more clarifications.
I don't think there is any simple analytical equation available for the purpose. You have to utilize the FEM process to simulate it. You may see the following papers for reference.
Zein, H., El Sherbiny, M., & Abd-Rabou, M. (2014). Thinning and spring back prediction of sheet metal in the deep drawing process. Materials & Design, 53, 797-808.
Wifi, A. S., & Abdelmaguid, T. F. (2012). Towards an optimized process planning of multistage deep drawing: an overview. Journal of Achievements in Materials and Manufacturing Engineering, 55(1), 7-17.
Schwarze, M., Vladimirov, I. N., & Reese, S. (2011). Sheet metal forming and spring back simulation by means of a new reduced integration solid-shell finite element technology. Computer Methods in Applied Mechanics and Engineering,200(5), 454-476.
https://www.jim.or.jp/journal/e/pdf3/49/02/278.pdf
- Badges
- Science topic