Behavior modeling and microstructural evolutions of Ti–6Al–4V alloy under hot forming conditions

Ti-6Al-4V alloy is widely used in superplastic forming process. The conventional conditions require high forming temperatures (T ≥ 900 • C) and low strain rates (˙ e ≤ 10 −3 s −1). In order to reduce the costs of the industrial process, recent investigations focus on the micro-structural refinement of the material. It allows an improvement of the forming conditions which makes lower forming temperatures and higher strain rates eligible whereas low strain rates (˙ e ≤ 10 −3 s −1) and high temperatures (T ≥ 800 • C) are particularly suitable for conventional superplastic forming conditions. However, the mechanical response of the Titanium alloy strongly depends on the starting micro-structure considered and on its evolution with the temperature and the deformation. The objective of the present investigation is to observe the micro-structural evolutions of Ti-6Al-4V alloy under thermal and mechanical loadings from different starting micro-structures. Hence, an internal grain growth variable is identified by the use of these observations. Then, it is introduced into the behavior model and its influence on the mechanical response of the material is analysed. The final constitutive equations are able to take into account viscosity, strain hardening and grain size evolution for a wide range of strain rates and forming temperatures (10 −4 s −1 ≤ ˙ e ≤ 10 −2 s −1 ; 650 • C ≤ T ≤ 870 • C). Moreover, the model is able to consider several starting microstructures (different initial grain sizes) and to predict their influence on the viscous flow and the strain hardening. At last, some model verifications are conducted to check the validity of the non-isothermal model formulation. Some predictions are also performed by considering several starting microstructures.

[1]  L. Rabet,et al.  Ti–6Al–4V: Deformation map and modelisation of tensile behaviour , 2008 .

[2]  R. Reed,et al.  Superplasticity in Ti–6Al–4V: Characterisation, modelling and applications , 2015 .

[3]  Jianguo Lin,et al.  Universal multi-objective function for optimising superplastic-damage constitutive equations , 2002 .

[4]  Jianguo Lin,et al.  Modelling of hardening due to grain growth for a superplastic alloy , 2001 .

[5]  K. I. Johnson,et al.  Deformation modeling of superplastic AA-5083 , 1998 .

[6]  T. Langdon Seventy-five years of superplasticity: historic developments and new opportunities , 2009 .

[7]  Amit K. Ghosh,et al.  Mechanical behavior and hardening characteristics of a superplastic Ti-6AI-4V alloy , 1979 .

[8]  D. Shin,et al.  Microstructural evolution during superplastic bulge forming of Ti–6Al–4V alloy , 1998 .

[9]  Jean-Louis Chaboche,et al.  A review of some plasticity and viscoplasticity constitutive theories , 2008 .

[10]  Georges Cailletaud,et al.  Study of plastic/viscoplastic models with various inelastic mechanisms , 1995 .

[11]  Amit K. Ghosh,et al.  Plastic Flow and Microstructure Evolution during Low-Temperature Superplasticity of Ultrafine Ti-6Al-4V Sheet Material , 2010 .

[12]  Wang Bingzhu,et al.  Hot compression characteristics of TiBw/Ti6Al4V composites with novel network microstructure using processing maps , 2013 .

[13]  Y. Ko,et al.  Microstructural influence on low-temperature superplasticity of ultrafine-grained Ti–6Al–4V alloy , 2005 .

[14]  Chung-Seop Lee,et al.  Mechanical and microstructural analysis on the superplastic deformation behavior of Ti–6Al–4V Alloy , 2000 .

[15]  Jianguo Lin,et al.  Modelling of dominant softening mechanisms for Ti-6Al-4V in steady state hot forming conditions , 2013 .

[16]  S. Semiatin,et al.  Constitutive Modeling of Low-Temperature Superplastic Flow of Ultrafine Ti-6Al-4V Sheet Material , 2010 .

[17]  L. Penazzi,et al.  Cyclic behavior modeling of a tempered martensitic hot work tool steel , 2006 .

[18]  F. Dunne Inhomogeneity of microstructure in superplasticity and its effect on ductility , 1998 .

[19]  Jianguo Lin,et al.  Modelling grain growth evolution and necking in superplastic blow-forming , 2001 .

[20]  Amit K. Ghosh,et al.  Low-Temperature Coarsening and Plastic Flow Behavior of an Alpha/Beta Titanium Billet Material with an Ultrafine Microstructure , 2008 .

[21]  Fionn P.E. Dunne,et al.  Mechanisms-based constitutive equations for the superplastic behaviour of a titanium alloy , 1996 .

[22]  Jianguo Lin,et al.  Modelling of microstructure evolution in hot forming using unified constitutive equations , 2005 .

[23]  S. Semiatin,et al.  Low-temperature superplasticity of ultra-fine-grained Ti-6Al-4V processed by equal-channel angular pressing , 2006 .

[24]  Jianguo Lin,et al.  Modelling the effects of grain-size gradients on necking in superplastic forming , 2003 .

[25]  Yong Liu,et al.  Development of fine-grain size titanium 6Al–4V alloy sheet material for low temperature superplastic forming , 2014 .

[26]  S. Leen,et al.  A Sigmoidal Model for Superplastic Deformation , 2005 .

[27]  R. Srinivasan,et al.  Superplastic Behavior of Ti-6Al-4V-0.1B Alloy (Preprint) , 2011 .

[28]  V. Velay,et al.  Investigation of the mechanical behaviour of Ti–6Al–4V alloy under hot forming conditions: Experiment and modelling , 2014 .

[29]  V. Stolyarov,et al.  Mechanical Behavior and Superplasticity of a Severe Plastic Deformation Processed Nanocrystalline Ti-6Al-4V Alloy , 2001 .

[30]  Jianguo Lin,et al.  Selection of material models for predicting necking in superplastic forming , 2003 .

[31]  F. Dunne,et al.  Large deformation compression-torsion behaviour of a titanium alloy and its modelling , 1998 .

[32]  J. Hoyt,et al.  Static grain growth in a microduplex Ti–6Al–4V alloy , 1998 .

[33]  A. Chiba,et al.  Flow behavior and microstructure in Ti–6Al–4V alloy with an ultrafine-grained α-single phase microstructure during low-temperature-high-strain-rate superplasticity , 2015 .

[34]  F. Dunne,et al.  Determination of superplastic constitutive equations and strain rate sensitivities for aerospace alloys , 1997 .

[35]  A. Sergueeva,et al.  Enhanced superplasticity in a Ti-6Al-4V alloy processed by severe plastic deformation , 2000 .

[36]  Hussein M. Zbib,et al.  Constitutive modeling of superplastic deformation. Part I: Theory and experiments , 1997 .

[37]  Jian Cao,et al.  A study on formulation of objective functions for determining material models , 2008 .

[38]  Hui Li,et al.  Characteristics of hot compression behavior of Ti–6.5Al–3.5Mo–1.5Zr–0.3Si alloy with an equiaxed microstructure , 2009 .

[39]  F. Dunne,et al.  Micro-mechanical modelling of strain induced porosity under generally compressive stress states , 1998 .