Volume 19, Issue 10 (October 2019)                   Modares Mechanical Engineering 2019, 19(10): 2419-2430 | Back to browse issues page

XML Persian Abstract Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Haji Ahmadi S, Elyasi M, Shakeri M. Predicting Tearing Force for Square Cup Deep Drawing Process by Dimensionless Analysis of the Effective Geometric Parameters. Modares Mechanical Engineering 2019; 19 (10) :2419-2430
URL: http://mme.modares.ac.ir/article-15-28200-en.html
1- Manufacturing Department, Mechanical Engineering Faculty, Babol Noshirvani University of Technology, Babol, Iran
2- Manufacturing Department, Mechanical Engineering Faculty, Babol Noshirvani University of Technology, Babol, Iran , elyasi@nit.ac.ir
Abstract:   (5094 Views)
In this research, a dimensionless model was developed based on the geometric parameters for the deep drawing process to reduce the manufacturing cost of square cup deep drawing in the large scales. In the following, a series of groups were found for dimensionless ratios based on the geometric parameters of the square cup by Π-Buckingham dimensional analysis method in the two states of circular and square sheets. In order to find the best group of dimensionless geometric parameters, three scales of cups were numerically evaluated by commercial finite elements software. The results were validated by an experimental test. After analyzing all the effective geometric parameters, a fittest dimensionless equation was obtained. The st12 metal sheet was used for experimental validation in the room temperature. Moreover, the results and tearing force as target parameter were compared in simulation states, experimental tests and the proposed dimensionless model based on Π-Buckingham theory. By comparing the results in the two states of the circular and square sheets, it can be concluded that the geometric characteristics of the main scale sample can be predicted by a sample in a small size through the proposed dimensionless model. Comparison of the results of the dimensionless model and experiments show that the proposed model has high accuracy in predicting the tearing force and geometric parameters in the square cup deep drawing process.
Full-Text [PDF 1374 kb]   (3297 Downloads)    
Article Type: Original Research | Subject: Forming of metal sheets
Received: 2018/12/15 | Accepted: 2019/02/23 | Published: 2019/10/22

References
1. Li Y, Shao Z, Rong Q, Shi Z, Balint D, Sun X, et al. Development of similarity-based scaling criteria for creep age forming of large/extra-large panels. The International Journal of Advanced Manufacturing Technology. 2019;101(5-8):1537-1551. [Link] [DOI:10.1007/s00170-018-2976-8]
2. Al-Tamimi A, Darvizeh R, Davey K. Scaling of metal forming processes. Procedia Engineering. 2017;207:1069-1074. [Link] [DOI:10.1016/j.proeng.2017.10.1132]
3. De Rosa S, Franco F, Meruane V. Similitudes for the structural response of flexural plates. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2016;230(2):174-188. [Link] [DOI:10.1177/0954406215572436]
4. Pawelski O. Ways and limits of the theory of similarity in application to problems of physics and metal forming. Journal of Materials Processing Technology. 1992;34(1-4):19-30. [Link] [DOI:10.1016/0924-0136(92)90086-8]
5. Buckingham E. On physically similar systems; illustrations of the use of dimensional equations. Physical Review. 1914;4(4):345-376. [Link] [DOI:10.1103/PhysRev.4.345]
6. Davey K, Darvizeh R, Al-Tamimi A. Scaled metal forming experiments: A transport equation approach. International Journal of Solids and Structures. 2017;125:184-205. [Link] [DOI:10.1016/j.ijsolstr.2017.07.006]
7. Liu Y, Yin XC. A dimensional analysis method for improved load-unload response ratio. Pure and Applied Geophysics. 2018;175(2):633-645. [Link] [DOI:10.1007/s00024-017-1716-6]
8. Navarrete J, Noguez ME, Ramı́rez J, Salas G, Robert T. Die forging stress determination: A dimensional analysis approach. Journal of Manufacturing Science and Engineering. 2000;123(3):416-419. [Link] [DOI:10.1115/1.1370498]
9. Jung KH, Im YT. The effect of deformation speed on frictional behavior by tip test. Journal of Tribology. 2010;132(3):031801. [Link] [DOI:10.1115/1.4001556]
10. Babaei H, Mirzababaie Mostofi T, Alitavoli M, Saeidinejad A. Experimental investigation and dimensionless analysis of forming of rectangular plates subjected to hydrodynamic loading. Journal of Applied Mechanics and Technical Physics. 2017;58(1):139-147. [Link] [DOI:10.1134/S0021894417010151]
11. Babaei H, Mirzababaie Mostofi T, Alitavoli M, Darvizeh A. Empirical modelling for prediction of large deformation of clamped circular plates in gas detonation forming process. Experimental Techniques. 2016;40(6):1485-1494. [Link] [DOI:10.1007/s40799-016-0063-3]
12. Viswanath Allamraju K, Srikanth K. Dimensional analysis of PZT-5H transducers. Materials Today Proceedings. 2017;4(2 Pt A):2384-2389. [Link] [DOI:10.1016/j.matpr.2017.02.087]
13. Zare D, Jayas DS, Singh CB. A generalized dimensionless model for deep bed drying of paddy. Drying Technology. 2012;30(1):44-51. [Link] [DOI:10.1080/07373937.2011.615429]
14. Bae DH, Ghosh AK. Cavity growth during superplastic flow in an Al-Mg alloy: I. Experimental study. Acta Materialia. 2002;50(5):993-1009. [Link] [DOI:10.1016/S1359-6454(01)00399-8]
15. Medellín-Castillo HI, García-Zugasti PD, de Lange DF, Colorado-Alonso FJ. Analysis of the allowable deep drawing height of rectangular steel parts. The International Journal of Advanced Manufacturing Technology. 2013;66(1-4):371-80. [Link] [DOI:10.1007/s00170-012-4331-9]
16. Olovsjö S, Hammersberg P, Avdovic P, Ståhl JE, Nyborg L. Methodology for evaluating effects of material characteristics on machinability-theory and statistics-based modelling applied on Alloy 718. The International Journal of Advanced Manufacturing Technology. 2012;59(1-4):55-66. [Link] [DOI:10.1007/s00170-011-3503-3]

Add your comments about this article : Your username or Email:
CAPTCHA

Send email to the article author


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.