Design of experiments is a statistical approach from which an optimized number of experiments is determined. Taguchi design of experiments, applied on Erichsen tests, is chosen to be considered in this paper. The most important parameters in this forming process, Erichsen index (IE), and maximum generated force (Fmax), are experimentally and theoretically determined. Three input factors are selected, at diverse levels, in order to study their influence on Erichsen output results. The considered input factors are sheet thickness, punch diameter, and friction coefficient. New mathematical models which take into account the effects of these factors and their interactions are developed. Moreover, the influence of Erichsen test on the S235 steel microstructural behavior is experimentally examined as function of the sheet thickness. A good agreement between experimental and theoretical findings proves that the proposed models provide a precise prediction and an exact estimation of the Erichsen output parameters (IE and Fmax). The efficiency of the adopted design of experiments via Taguchi method is well confirmed.
IslamMNPramanikA. Comparison of design of experiments via traditional and Taguchi method. J Adv Manuf Syst2016; 15(3): 151–160.
2.
CazaubonVAbi AkleAFischerX. A parametric study of additive manufacturing process: TA6V laser wire metal deposition. In: RoucoulesLParedesMEynardB, et al. (eds) Advances on mechanics, design engineering and manufacturing III. Cham: Springer, 2021, pp.15–20.
3.
HuangWTYangSCHoWH, et al. Multiple performance characteristic index optimization of dimensional accuracy and geometrical shape angle in turn-mill multitasking machining. Proc IMechE, Part B: J Engineering Manufacture2022; 236(14): 1930–1940.
4.
MalyaniYOrquéraMMilletD. State of the art on robust design methods for additive manufacturing. In: RoucoulesLParedesMEynardB, et al. (eds) Advances on mechanics, design engineering and manufacturing III. Cham: Springer, 2021, pp.80–85.
5.
ShamloofardMIsazadehARShirinMB, et al. Optimum design of middle stage tool geometry and addendum surfaces in sheet metal stamping processes using a new isogeometric-based framework. Proc IMechE, Part B: J Engineering Manufacture2022; 236(6–7): 741–757.
6.
IslamMNAnggonoJMPramanikA, et al. Effect of cooling methods on dimensional accuracy and surface finish of a turned titanium part. Int J Adv Manuf Technol2013; 69(9–12): 2711–2722.
7.
KathalingamRNeelakandanBKrishnanE, et al. Comparison of incremental sheet metal forming process using newly designed multipoint tool with the existing single point tool by optimization and characterization methods on austenite stainless steel 202. Proc IMechE, Part B: J Engineering Manufacture2021; 235(8): 1298–1308.
8.
PaschoalinotoNWBordinassiECBortolussiR, et al. The effect of process parameters and cutting tool shape on residual stress of SAE 52100 hard turned steel by high speed machining. Proc IMechE, Part B: J Engineering Manufacture2021; 235(1–2): 290–300.
9.
VosniakosGCKalattasASiasosA. Optimal process planning for helical bevel gears using Taguchi design of simulated machining experiments. Proc IMechE, Part B: J Engineering Manufacture2018; 232(14): 2627–2640.
10.
Josue da SilvaPAlvaresAJ. Investigation of tool wear in single point incremental sheet forming. Proc IMechE, Part B: J Engineering Manufacture2020; 234(1–2): 170–188.
11.
ShaheenWKanapathipillaiSMathewP, et al. Optimization of compound die piercing punches and double cutting process parameters using finite element analysis. Proc IMechE, Part B: J Engineering Manufacture2020; 234(1–2): 3–13.
12.
FeiNCMehatNMKamaruddinS. Practical applications of Taguchi method for optimization of processing parameters for plastic injection moulding: a retrospective review. ISRN Ind Eng2013; 2013: 1–11.
13.
LiQXieL. Analysis and optimization of tooth surface contact stress of gears with tooth profile deviations, meshing errors and lead crowning modifications based on finite element method and Taguchi method. Metals2020; 10(10): 1370.
14.
ScavinoGD’AiutoFMatteisP, et al. Plastic localization phenomena in a Mn-alloyed austenitic steel. Metallurgical Mater Trans A2010; 41(6): 1493–1501.
15.
MansouriLZCoërJThuillierS, et al. Investigation of Portevin-Le Châtelier effect during Erichsen test. Int J Mater Forming2020; 13(5): 687–697.
16.
SahuMKSahuRK. Investigation of mechanical properties and optimization of forming parameters of Al7075-B4C-fly ash hybrid aluminium matrix composite. Arab J Sci Eng2022; 47: 8161–8176.
17.
HuCLChenLQZhaoZ, et al. Study on the preshearing cropping process of steel bars. Int J Adv Manuf Technol2018; 97: 783–793.
18.
MurugesanMJungDW. Johnson Cook material and failure model parameters estimation of AISI-1045 medium carbon steel for metal forming applications. Materials2019; 12(4): 609.
19.
SyahrullailSAzwadiCSNNajibYM. The influences of the die half angle of taper die during cold extrusion process. Arab J Sci Eng2013; 38(5): 1201–1207.
20.
Ben SaidLWaliM. Accuracy of variational formulation to model the thermomechanical problem and to predict failure in metallic materials. Mathematics2022; 10(19): 3555.
21.
MuchaJ. An experimental analysis of effects of various material tool’s wear on burr during generator sheets blanking. Int J Adv Manuf Technol2010; 50: 495–507.
22.
SorceFSNgoSLoweC, et al. Quantification of coating surface strains in Erichsen cupping tests. J Mater Sci2019; 54: 7997–8009.
23.
HamadaASKiskoAKhosravifardA, et al. Ductility and formability of three high-Mn TWIP steels in quasi-static and high-speed tensile and Erichsen tests. Mater Sci Eng2018; 712: 255–265.
24.
ZhangPChenYXiaoW, et al. Twin structure of the lath martensite in low carbon steel. Prog Nat Sci Mater Int2016; 26(2): 169–172.
