Constitutive modeling and the effects of strain-rate and temperature on the formability of Ti–6Al–4V alloy sheet

Abstract The constitutive model considering the strain-rate and temperature effects was presented by fitting the true stress–strain curves of Ti–6Al–4V alloy over a wide range of strain-rates (0.0005–0.05 s −1 ) and temperatures (923–1023 K). The Forming Limit Curve (FLC) of Ti–6Al–4V alloy at 973 K was measured by conducting the hemispherical dome test with specimens of different widths. The forming limit prediction model of Ti–6Al–4V alloy, which takes strain-rate and temperature sensitivity into account, was predicted based on Marciniak and Kuczynski (M–K) theory along with Von Mises yield criterion. The comparison shows that the limit strain decreases with temperature lowering but strain-rate increasing. The comparison between theoretical analysis and experiment of FLC verifies the accuracy and reliability of the proposed methodology, which considers the strain-rate and temperature effects, to predict limit strains in the positive minor strain region of Forming Limit Diagram (FLD).

[1]  M. Baig,et al.  Anisotropic responses, constitutive modeling and the effects of strain-rate and temperature on the formability of an aluminum alloy , 2011 .

[2]  M. Merklein,et al.  Thermo-mechanical sheet metal forming of aero engine components in Ti-6Al-4V – PART 1: Material characterisation , 2013 .

[3]  A. El-Domiaty.  The effect of strain, strain rate and temperature on formability of Ti-6Al-4V alloy , 1992 .

[4]  Mehrdad Aghaie-Khafri,et al.  Predicting of plastic instability and forming limit diagrams , 2004 .

[5]  D. Guines,et al.  Theoretical and numerical study of strain rate influence on AA5083 formability , 2009 .

[6]  Z. Marciniak,et al.  Limit strains in the processes of stretch-forming sheet metal , 1967 .

[7]  N. Haghdadi,et al.  Artificial neural network modeling to predict the hot deformation behavior of an A356 aluminum alloy , 2013 .

[8]  L. Chan,et al.  Effects of tooling temperatures on formability of titanium TWBs at elevated temperatures , 2007 .

[9]  Jianping Lin,et al.  Investigation on hot forming limits of high strength steel 22MnB5 , 2010 .

[10]  S. Soare.  Theoretical considerations upon the MK model for limit strains prediction: The plane strain case, strain-rate effects, yield surface influence, and material heterogeneity , 2010 .

[11]  N. Haghdadi,et al.  The flow behavior modeling of cast A356 aluminum alloy at elevated temperatures considering the effect of strain , 2012 .

[12]  Haowen Liu,et al.  Deformation induced anisotropic responses of Ti–6Al–4V alloy Part II: A strain rate and temperature dependent anisotropic yield criterion , 2012 .

[13]  A. Khan,et al.  Deformation induced anisotropic responses of Ti–6Al–4V alloy. Part I: Experiments , 2012 .

[14]  Y. Lin,et al.  A critical review of experimental results and constitutive descriptions for metals and alloys in hot working , 2011 .

[15]  L. Chan,et al.  Thermal forming of light-weight alloys under a multi-stage forming process , 2010 .

[16]  Pedro Teixeira,et al.  Analysis of plastic flow localization under strain paths changes and its coupling with finite element simulation in sheet metal forming , 2009 .

[17]  Daniel E. Green,et al.  Prediction of sheet forming limits with Marciniak and Kuczynski analysis using combined isotropic–nonlinear kinematic hardening , 2011 .

[18]  Tetsuo Naka,et al.  The effects of temperature and forming speed on the forming limit diagram for type 5083 aluminum-magnesium alloy sheet , 2001 .

[19]  Brian N. Leis,et al.  Average shear stress yield criterion and its application to plastic collapse analysis of pipelines , 2006 .

[20]  Tongsheng Deng,et al.  Constitutive modeling and microstructure change of Ti–6Al–4V during the hot tensile deformation , 2012 .

[21]  Mats Oldenburg,et al.  Thermo-mechanical material response and hot sheet metal forming of Ti-6242 , 2008 .

[22]  Julian M. Allwood,et al.  Generalised forming limit diagrams showing increased forming limits with non-planar stress states , 2009 .

[23]  Formability of Ti-TWBs at Elevated Temperatures , 2006 .

[24]  Thomas B. Stoughton,et al.  A general forming limit criterion for sheet metal forming , 2000 .

[25]  Fuh-Kuo Chen,et al.  Stamping formability of pure titanium sheets , 2005 .

[26]  Joseph D. Beal,et al.  Forming of Titanium and Titanium Alloys , 2006 .