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

Abstract A new Taylor-type polycrystalline model has been developed to simulate the evolution of crystallographic texture and the anisotropic stress–strain response during large plastic deformation of high purity α-titanium at room temperature. Crystallographic slip, deformation twinning and slip inside twinned regions were all considered as contributing mechanisms for the plastic strain in the model. This was accomplished by treating the dominant twin systems in a given crystal as independent grains once the total twin volume fraction in that crystal reached a predetermined saturation value. The newly formed grains were allowed to independently undergo further slip and the concomitant lattice rotation, but further twinning was prohibited. New descriptions have been established for slip and twin hardening and the complex coupling between them. Good predictions were obtained for the overall anisotropic stress–strain response and texture evolution in three different monotonic deformation paths on annealed, initially textured samples of high purity α-titanium.

[1]  L. Anand,et al.  Inelastic deformation of polycrystalline face centered cubic materials by slip and twinning , 1998 .

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

[3]  Surya R. Kalidindi,et al.  Modeling anisotropic strain hardening and deformation textures in low stacking fault energy fcc metals , 2001 .

[4]  Surya R. Kalidindi,et al.  Strain hardening due to deformation twinning in α-titanium : Constitutive relations and crystal-plasticity modeling , 2005 .

[5]  Surya R. Kalidindi,et al.  Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction , 2002 .

[6]  Ricardo A. Lebensohn,et al.  A model for texture development dominated by deformation twinning: Application to zirconium alloys , 1991 .

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

[8]  S. Kalidindi,et al.  Influence of deformation path on the strain hardening behavior and microstructure evolution in low SFE FCC metals , 2001 .

[9]  S. Kalidindi,et al.  Strain hardening regimes and microstructural evolution during large strain compression of low stacking fault energy fcc alloys that form deformation twins , 1997 .

[10]  S. Nourbakhsh,et al.  Texture formation and transition in Cold-rolled titanium , 1988 .

[11]  R. Singh,et al.  Strengthening in MULTIPHASE (MP35N) alloy: Part I. ambient temperature deformation and recrystallization , 1992 .

[12]  S. Nemat-Nasser,et al.  Mechanical properties and deformation mechanisms of a commercially pure titanium , 1999 .

[13]  S. Kalidindi,et al.  Strain hardening regimes and microstructure evolution during large strain compression of high purity titanium , 2002 .

[14]  Surya R. Kalidindi,et al.  On the accuracy of the predictions of texture evolution by the finite element technique for fcc polycrystals , 1998 .

[15]  Bart Peeters,et al.  Work-hardening/softening behaviour of b.c.c. polycrystals during changing strain paths: I. An integrated model based on substructure and texture evolution, and its prediction of the stress–strain behaviour of an IF steel during two-stage strain paths , 2001 .

[16]  L. Anand,et al.  Crystallographic texture evolution in bulk deformation processing of FCC metals , 1992 .

[17]  P. Houtte,et al.  Simulation of the rolling and shear texture of brass by the Taylor theory adapted for mechanical twinning , 1978 .

[18]  S. Kalidindi Incorporation of deformation twinning in crystal plasticity models , 1998 .

[19]  J. S. Kallend,et al.  OPERATIONAL TEXTURE ANALYSIS , 1991 .

[20]  Rodney J. McCabe,et al.  Role of twinning in the hardening response of zirconium during temperature reloads , 2006 .

[21]  R. Asaro,et al.  Overview no. 42 Texture development and strain hardening in rate dependent polycrystals , 1985 .

[22]  R. Reed-hill,et al.  The influence of strain rate dependent work hardening on the necking strain in α-titanium at elevated temperatures , 1971 .

[23]  G. Gray,et al.  Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti—II. Tem study of twin morphology and defect reactions during twinning , 1995 .

[24]  Surya R. Kalidindi,et al.  Strain hardening due to deformation twinning in α-titanium: Mechanisms , 2006 .

[25]  Lallit Anand,et al.  Elasto-viscoplastic constitutive equations for polycrystalline metals: Application to tantalum , 1998 .

[26]  M. Gurtin,et al.  An introduction to continuum mechanics , 1981 .