Study of lattice strains in magnesium alloy AZ31 based on a large strain elastic-viscoplastic self-consistent polycrystal model

The recently developed large strain elastic visco-plastic self-consistent (EVPSC) model, which incorporates both slip and twinning deformation mechanisms, is used to study the lattice strain evolution in extruded magnesium alloy AZ31 under uniaxial tension and compression. The results are compared against in-situ neutron diffraction measurements done on the same alloy. For the first time, the effects of stress relaxation and strain creep on lattice strain measurements in respectively displacement controlled and load controlled in-situ tests are numerically assessed. It is found that the stress relaxation has a significant effect on the lattice strain measurements. It is also observed that although the creep does not significantly affect the trend of the lattice strain evolution, a better agreement with the experiments is found if creep is included in the simulations.

[1]  P. Šittner,et al.  In situ neutron diffraction investigation of deformation twinning and pseudoelastic-like behaviour of extruded AZ31 magnesium alloy , 2009 .

[2]  A mesoscopic approach for predicting sheet metal formability , 2004 .

[3]  M. Daymond,et al.  Modeling lattice strain evolution during uniaxial deformation of textured Zircaloy-2 , 2008 .

[4]  S. Ahzi,et al.  A self consistent approach of the large deformation polycrystal viscoplasticity , 1987 .

[5]  Bjørn Clausen,et al.  Evolution of stress in individual grains and twins in a magnesium alloy aggregate. , 2009 .

[6]  J. D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  S. Macewen,et al.  The use of time-of-flight neutron diffraction to study grain interaction stresses , 1983 .

[8]  M. Barnett,et al.  Investigation of deformation mechanisms involved in the plasticity of AZ31 Mg alloy: In situ neutron diffraction and EPSC modelling , 2008 .

[9]  P. A. Turner,et al.  A study of residual stresses in Zircaloy-2 with rod texture , 1994 .

[10]  D. Lloyd,et al.  Analysis of surface roughening in AA6111 automotive sheet , 2004 .

[11]  Huamiao Wang,et al.  On the role of the constitutive model and basal texture on the mechanical behaviour of magnesium alloy AZ31B sheet , 2010 .

[12]  S. Agnew,et al.  Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B , 2005 .

[13]  Ricardo A. Lebensohn,et al.  A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals : application to zirconium alloys , 1993 .

[14]  Bjørn Clausen,et al.  Reorientation and stress relaxation due to twinning: Modeling and experimental characterization for Mg , 2008 .

[15]  Huamiao Wang,et al.  Effects of basal texture on mechanical behaviour of magnesium alloy AZ31B sheet , 2010 .

[16]  J. Embury,et al.  Study of the mechanical properties of Mg-7.7at.% Al by in-situ neutron diffraction , 1999 .

[17]  Bjørn Clausen,et al.  Modeling lattice strain evolution at finite strains and experimental verification for copper and stainless steel using in situ neutron diffraction , 2010 .

[18]  C. Tomé,et al.  Evaluation of self-consistent polycrystal plasticity models for magnesium alloy AZ31B sheet , 2010 .

[19]  Huamiao Wang,et al.  On crystal plasticity formability analysis for magnesium alloy sheets , 2011 .

[20]  P. Dawson,et al.  Diffraction measurements of elastic strains in stainless steel subjected to in situ biaxial loading , 2008 .

[21]  J. Koike Enhanced deformation mechanisms by anisotropic plasticity in polycrystalline Mg alloys at room temperature , 2005 .

[22]  S. R. MacEwen,et al.  On the influence of crystal elastic moduli on computed lattice strains in AA-5182 following plastic straining , 2001 .

[23]  S. Agnew,et al.  Modeling the temperature dependent effect of twinning on the behavior of magnesium alloy AZ31B sheet , 2007 .

[24]  M. Jain,et al.  Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking , 2007 .

[25]  W. Hosford,et al.  Accommodation of constrained deformation in f. c. c. metals by slip and twinning , 1969, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[26]  C. Tomé,et al.  Internal strain and texture evolution during deformation twinning in magnesium , 2005 .

[27]  C. Tomé,et al.  Application of texture simulation to understanding mechanical behavior of Mg and solid solution alloys containing Li or Y , 2001 .

[28]  C. Tomé,et al.  Validating a polycrystal model for the elastoplastic response of magnesium alloy AZ31 using in situ neutron diffraction , 2006 .

[29]  Lallit Anand,et al.  The process of shear band formation in plane strain compression of fcc metals: Effects of crystallographic texture , 1994 .

[30]  R. A. Lebensohn,et al.  Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations , 2007 .

[31]  Herbert F. Wang,et al.  Single Crystal Elastic Constants and Calculated Aggregate Properties. A Handbook , 1971 .

[32]  Yonggang Huang,et al.  A finite strain elastic–viscoplastic self-consistent model for polycrystalline materials , 2010 .

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

[34]  R. Cahn,et al.  The dynamics of twinning and the interrelation of slip and twinning in zinc crystals , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[35]  M. Daymond,et al.  Study of internal strain evolution in Zircaloy-2 using polycrystalline models: Comparison between a rate-dependent and a rate-independent formulation , 2010 .

[36]  A. Molinari,et al.  Tuning a self consistent viscoplastic model by finite element results—I. Modeling , 1994 .

[37]  Peter Mora,et al.  Macroscopic elastic properties of regular lattices , 2008 .

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

[39]  Said Ahzi,et al.  On the self-consistent modeling of elastic-plastic behavior of polycrystals , 1997 .

[40]  U. F. Kocks,et al.  The relation between macroscopic and microscopic strain hardening in F.C.C. polycrystals , 1984 .

[41]  D. J. Millard,et al.  XXXVIII. Twin formation, in cadmium , 1952 .

[42]  Gwénaëlle Proust,et al.  Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31 , 2009 .

[43]  I. Beyerlein,et al.  Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study , 2011 .