Study of the Effect of Calibration Procedure on the Accuracy of the Phenomenological Ductile Fracture Criteria in Sheet Metal Forming

Authors

1 Department of Mechanical engineering, Tarbiat Modares University of Technology, Tehran, Iran

2 Academic staff

3 Division of Manufacturing Engineering, Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

4 Department of mechanical engineering, Hormozgan Univ., Hormozgan

5 Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, moscow, Russia

Abstract

In this paper, determination of the fracture onset by the ductile fracture criteria was studied and the effect of damage function, calibration method, and calibration tests were investigated on the fracture prediction accuracy. Based on the stress state analysis, three different tension tests including the uniaxial, plane strain, and notched tension tests were conducted to determine the critical value of the ductile fracture criteria. In order to investigate the fracture behavior of AA6061-T6 aluminum alloy sheets, The Ayada, Rice-Tracey, and normalized Cockroft-Latham phenomenological ductile fracture criteria were calibrated through a hybrid experimental-numerical method. The finite element (FE) method were used to simulate the process and calibrated fracture criteria were implemented using an appropriate user subroutine. Experimental force-displacement curve and the fracture displacement were used to validated the numerical simulation and investigate the fracture prediction accuracy. According to the result, calibration method based on the history of the stress state lead to higher fracture prediction accuracy compared to average value method (3.4% decrease in average value of the fracture prediction error). Among all the possible condition, the normalized Cockroft-Latham fracture criteria with the plane strain tension test are the most suitable fracture criterion and calibration test to predict the fracture in the positive value of the stress triaxiality.

Keywords


[1] Lou Y, Huh H (2013) Extension of a shear-controlled ductile fracture model considering the stress triaxiality and the Lode parameter. Int J Solids Struct 50(2): 447-455.
[2] Swift HW (1952) Plastic instability under plane stress. J Mech Phys Solids 1(1): 1-18.
[3] Zhu X, Weinmann K, Chandra A (2001) A unified bifurcation analysis of sheet metal forming limits. J Eng Mater Technol 123(3): 329-333.
[4] Lou Y, Lim SJ, Huh H (2013) Prediction of fracture forming limit for DP780 steel sheet. J Mech Phys Solids 19(4): 697-705.
[5] Permeh M, Hosseinipour SJ, Jamshidi Aval H (2016) GTN damage model parameters for ductile fracture simulation in aluminum alloy 5083-O. Journal of Solid and Fluid Mechanics 6(1): 129-142. (in Persian)
[6] Ghaforian Nosrati H, Gerdooei M, Falahati Naghibi M (2015) A new approach to identify the ductile damage constants of seamed metallic tube using hydro-bulging process. Journal of Solid and Fluid Mechanics 5(2): 139-150. (in Persian)
[7] Rice JR, Tracey DM (1969) On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids 17(3): 201-217.
[8] Ayada M, Higashino T, Mori K (1987) Central bursting in extrusion of inhomogeneous materials. Adv Technol Plast 1: 553-558.
[9] Brozzo P, Deluca B, Rendina R (1972) A new method for the prediction of formability limits of metal sheets, sheet metal forming and formability. Proceedings of the Seventh Biennial Congress of International Deep Drawing Research Group.
[10] Oyane M, Sato T (1980) Criteria for ductile fracture and their applications. J Mech Work Technol 4(1): 65-81.
[11] Oh SI, Chen CC, Kobayashi S (1979) Ductile fracture in axisymmetric extrusion and drawing. J Eng Ind  101(1): 36-44.
[12] Takuda H, Mori K, Takakura N, Yamaguchi      K (2000) Finite element analysis of limit      strains in biaxial stretching of sheet metals allowing for ductile fracture. Int J Mech Sci 42(4): 785-798.
[13] Zhan M, Gu C, Jiang Z, Hu L, Yang H (2009) Application of ductile fracture criteria in             spin forming and tube-bending processes. Comput Mater 47(2): 353-365.
[14] Hashemi SJ, Moslemi Naeini H, Liaghat GH, Azizi Tafti R (2015) Prediction of bulge height in warm hydroforming of aluminum tubes using ductile fracture criteria. Arch Civ Mech Eng 15(1): 19-29.
[15] Mirnia MJ, Shamsari M (2017) Numerical prediction of failure in single point incremental forming using a phenomenological ductile fracture criterion, criterion. J Mater Process Technol 244: 17-43.
[16] Linardona C, Favierb D, Chagnonb G, Grueza B (2014) A conical mandrel tube drawing  test  designed  to  assess  failure  criteria. J Mater Process Technol 214(2): 347- 357.
[17] Wua Z, Li S, Zhang W, Wanga W (2010) Ductile  fracture  simulation  of hydropiercing process based on various criteria in 3D modeling. Mater Des 31(8): 3661-3671.
[18] Lou Y, Yoon JW (2019) Alternative approach to model ductile fracture by incorporating anisotropic yield function. Int J Solids Struct 164(1): 12-24.
[19] Mohr D, Marcadet SJ (2015) Micromechanically-motivated phenomenological Hosford–Coulomb model for predicting ductile fracture initiation at low stress triaxialities. Int J Solids Struct 67-68: 40-55.
[20] Besson J (2010) Continuum models of ductile fracture: A review. Int J Damage Mech 19: 3-52.
[21] Bagherzadeha S, Mirnia MJ, Mollaei Dariani B (2015) Numerical and experimental investigations of hydro-mechanical deep drawing process of laminated aluminum/steel sheets. J Manuf Processes 18: 131-140.