An investigation of force and pressure analysis during the process of equal channel angular pressing to M1 copper using finite element and upper-bound methods
199 viewsDOI:
https://doi.org/10.54939/1859-1043.j.mst.95.2024.95-106Keywords:
ECAP; Central composite design; M1 copper; Upper-bound method; Finite element method.Abstract
This article presents two methods to determine pressing forces to the M1 copper plate. The first approach employs the upper-bound method, and the second method combines numerical simulation with a central composite design. The upper-bound method uses physical analysis to determine the deformation zone and establish the division of the rigid block model. The findings were identical to the slip-line solution method. The results obtained from the three-dimensional simulation performed using Qform software combined with a central composite design have provided regression equations that help determine the force and punching pressure. The impact of each parameter on the pressing force is similar in both approaches, and the difference between the two methods is insignificant and falls within a dependable range.
References
[1]. V. M. Segal, V. I. Reznikov, A. E. Dobryshevshiy, and V. I. Kopylov, “Plastic working of metals by simple shear,” Russ. Metall., vol. 1, pp. 99–105, (1981).
[2]. R. Valiev, “Nanostructuring of metallic materials by SPD processing for advanced properties,” Int. J. Mater. Res., vol. 100, no. 6, pp. 757–761, (2009), doi: 10.3139/146.110095. DOI: https://doi.org/10.3139/146.110095
[3]. V. V Stolyarov, Y. T. Zhu, I. V Alexandrov, T. C. Lowe, and R. Z. Valiev, “Influence of ECAP routes on the microstructure and properties of pure Ti,” vol. 299, pp. 59–67, (2001). DOI: https://doi.org/10.1016/S0921-5093(00)01411-8
[4]. V. M. Segal, “Slip line solutions, deformation mode, and loading history during equal channel angular extrusion,” Mater. Sci. Eng. A, vol. 345, no. 1–2, pp. 36–46, (2003), doi: 10.1016/S0921-5093(02)00258-7. DOI: https://doi.org/10.1016/S0921-5093(02)00258-7
[5]. A. V. Perig, “2D upper bound analysis of ecae through 2θ-Dies for a range of channel angles,” Mater. Res., vol. 17, no. 5, pp. 1226–1237, (2014), doi: 10.1590/1516-1439.268114. DOI: https://doi.org/10.1590/1516-1439.268114
[6]. A. M. Laptev, A. V. Perig, and O. Y. Vyal, “Analysis of equal channel angular extrusion by upper bound method and rigid block model,” Mater. Res., vol. 17, no. 2, pp. 359–366, (2014), doi: 10.1590/S1516-14392013005000187. DOI: https://doi.org/10.1590/S1516-14392013005000187
[7]. S. Xu, G. Zhao, X. Ma, and G. Ren, “Finite element analysis and optimization of equal channel angular pressing for producing ultra-fine grained materials,” J. Mater. Process. Technol., vol. 184, no. 1–3, pp. 209–216, (2007), doi: 10.1016/j.jmatprotec.2006.11.025. DOI: https://doi.org/10.1016/j.jmatprotec.2006.11.025
[8]. A. Ghosh and M. Ghosh, “3D FEM simulation of Al-Zn-Mg-Cu alloy during multi-pass ECAP with varying processing routes,” Mater. Today Commun., vol. 26, no. February, p. 102112, (2021), doi 10.1016/j.mtcomm.2021.102112. DOI: https://doi.org/10.1016/j.mtcomm.2021.102112
[9]. M. I. Abd EL AAL, “3D FEM simulations and experimental validation of plastic deformation of pure aluminum deformed by ECAP and combination of ECAP and direct extrusion,” Trans. Nonferrous Met. Soc. China, vol. 27, no. 6, pp. 1338–1352, (2017), doi: 10.1016/S1003-6326(17)60155-9. DOI: https://doi.org/10.1016/S1003-6326(17)60155-9
[10]. H. K. W. Johnson, "The Mechanics of Metal Extrusion". Manchester University Press, (1962).
[11]. A. R. Eivani and A. Karimi Taheri, “The effect of dead metal zone formation on strain and extrusion force during equal channel angular extrusion,” Comput. Mater. Sci., vol. 42, no. 1, pp. 14–20, (2008), doi: 10.1016/J.COMMATSCI.2007.06.001. DOI: https://doi.org/10.1016/j.commatsci.2007.06.001
[12]. A. Shokuhfar and O. Nejadseyfi, “The influence of friction on the processing of ultrafine-grained/ nanostructured materials by equal-channel angular pressing,” J. Mater. Eng. Perform., vol. 23, no. 3, pp. 1038–1048, (2014), doi: 10.1007/s11665-013-0849-8. DOI: https://doi.org/10.1007/s11665-013-0849-8
