Anisotropic response of high-purity α-titanium: Experimental characterization and constitutive modeling

Abstract This paper presents a comprehensive experimental and theoretical investigation of the deformation behavior of high-purity, polycrystalline α-titanium under quasi-static conditions at room temperature. The initial material in this study was a cross-rolled plate with a strong basal texture. To quantify the plastic anisotropy and the tension–compression asymmetry of this material, monotonic tensile and compressive tests were conducted, on samples cut along different directions of the plate. A new anisotropic elastic/plastic model was developed to describe the quasi-static macroscopic response of the aggregate. Key in its formulation is the use of an anisotropic yield criterion that captures strength-differential effects and an anisotropic hardening rule that accounts for texture evolution associated to twinning. A very good agreement between FE simulations using the model developed and uniaxial data was obtained.

[1]  Yeong Sung Suh,et al.  Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys , 2004 .

[2]  R. H. Wagoner,et al.  Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets , 2008 .

[3]  Frédéric Barlat,et al.  On linear transformations of stress tensors for the description of plastic anisotropy , 2007 .

[4]  R. H. Wagoner,et al.  Hardening evolution of AZ 31 B Mg sheet , 2006 .

[5]  Frédéric Barlat,et al.  A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals , 2004 .

[6]  Frédéric Barlat,et al.  Linear transfomation-based anisotropic yield functions , 2005 .

[7]  V. Vítek,et al.  Influence of non-glide stresses on plastic flow: from atomistic to continuum modeling , 2004 .

[8]  Surya R. Kalidindi,et al.  Prediction of crystallographic texture evolution and anisotropic stress–strain curves during large plastic strains in high purity α-titanium using a Taylor-type crystal plasticity model , 2007 .

[9]  Frédéric Barlat,et al.  Generalization of Drucker's Yield Criterion to Orthotropy , 2001 .

[10]  Sia Nemat-Nasser,et al.  Dynamic response of conventional and hot isostatically pressed Ti–6Al–4V alloys: experiments and modeling , 2001 .

[11]  Oana Cazacu.  Multiscale modeling of heterogenous materials : from microstructure to macro-scale properties , 2008 .

[12]  Babak Farrokh,et al.  Multiaxial and non-proportional loading responses, anisotropy and modeling of Ti–6Al–4V titanium alloy over wide ranges of strain rates and temperatures , 2007 .

[13]  R. C. Picu,et al.  Mechanical behavior of Ti-6Al-4V at high and moderate temperatures-Part II: constitutive modeling , 2002 .

[14]  I. Beyerlein,et al.  Mini-Tensile Experiments of Clock-Rolled Zirconium Plate , 2010 .

[15]  R. Hill.  A theory of the yielding and plastic flow of anisotropic metals , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  M. N. Bassim,et al.  Dynamic mechanical behavior of pure titanium , 2004 .

[17]  Woei-Shyan Lee,et al.  The effects of strain rate and temperature on the compressive deformation behaviour of Ti6Al4V alloy , 1997 .

[18]  S. Kalidindi,et al.  Strain hardening of titanium: role of deformation twinning , 2003 .

[19]  Paul S. Follansbee,et al.  An analysis of the low temperature, low and high strain-rate deformation of Ti−6Al−4V , 1989 .

[20]  W. Brocks,et al.  Yielding of magnesium: From single crystal to polycrystalline aggregates , 2007 .

[21]  Frédéric Barlat,et al.  Continuum Scale Simulation of Engineering Materials Fundamentals - Microstructures - Process Applications , 2004 .

[22]  F. Barlat,et al.  Yield Surface Plasticity and Anisotropy , 2005 .

[23]  Albert Van Bael,et al.  Finite element modeling of plastic anisotropy induced by texture and strain-path change , 2003 .

[24]  Frédéric Barlat,et al.  Anisotropic yield function of hexagonal materials taking into account texture development and anisotropic hardening , 2006 .

[25]  Carlos N. Tomé,et al.  Modeling Texture, Twinning and Hardening Evolution during Deformation of Hexagonal Materials , 2005 .

[26]  Lallit Anand,et al.  A constitutive model for hcp materials deforming by slip and twinning: application to magnesium alloy AZ31B , 2003 .

[27]  Ricardo A. Lebensohn,et al.  Mechanical response of zirconium—I. Derivation of a polycrystal constitutive law and finite element analysis , 2001 .

[28]  W. Hosford,et al.  Twinning and directional slip as a cause for a strength differential effect , 1973 .

[29]  R. H. Wagoner,et al.  Hardening evolution of AZ31B Mg sheet , 2007 .

[30]  Self Consistent Homogenization Methods for Texture and Anisotropy , 2005 .

[31]  S. Semiatin,et al.  Effect of deformation twinning on microstructure and texture evolution during cold rolling of CP-titanium , 2005 .

[32]  Frédéric Barlat,et al.  Orthotropic yield criterion for hexagonal closed packed metals , 2006 .