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Title: Modeling Ti–6Al–4V using crystal plasticity, calibrated with multi-scale experiments, to understand the effect of the orientation and morphology of the α and β phases on time dependent cyclic loading

Journal Article · · Journal of the Mechanics and Physics of Solids
 [1];  [1];  [2];  [3];  [2];  [1]
  1. Purdue Univ., West Lafayette, IN (United States)
  2. Pratt & Whitney, East Hartford, CT (United States). Materials and Processes Engineering
  3. Argonne National Lab. (ANL), Argonne, IL (United States)

Classically, crystal plasticity modeling has used a range of constitutive equations, in which the incorporation of additional physics-based relationships typically results in additional model parameters. These additional parameters need to be reliably calibrated, which often necessitates the use of a range of experimental data acquired at multiple length scales. In this work, a crystal plasticity based finite element (CPFE) model for a dual-phase Titanium alloy, Ti–6Al–4V, is developed. The α and β phases of the microstructure are explicitly modeled. The model is calibrated using a systematic optimization routine and experimental data that consist of macroscopic stress-strain curves coupled with lattice strains on different crystallographic planes for the two phases. These experimental data were obtained from in situ high energy X-ray diffraction experiments for multiple material pedigrees, with varying crystallographic orientation distribution and β volume fractions. Depending on the thermomechanical-processing route and the heat treatment used to manufacture the alloy, Ti–6Al–4V can exist in a wide number of microstructural forms, which often results in the α and β phases either having well aligned slip systems (following the Burgers orientation relationship (BOR)) or possessing no alignment of the slip systems across the interphase boundary (not following the BOR). In this study, the fully-calibrated CPFE model is used to gain a comprehensive understanding of the deformation behavior of Ti–6Al–4V, specifically, the effect of microstructures that follow the BOR (or not) on time-dependent cyclic loading (including the effects of dwell hold times).

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1777463
Journal Information:
Journal of the Mechanics and Physics of Solids, Vol. 146; ISSN 0022-5096
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (80)

Slip and fatigue crack formation processes in an α/β titanium alloy in relation to crystallographic texture on different scales journal September 2008
Microstructural effects on strain rate and dwell sensitivity in dual-phase titanium alloys journal January 2019
Modeling the deformation behavior of Hadfield steel single and polycrystals due to twinning and slip journal May 2000
Modeling Strain Localization in Microtextured Regions in a Titanium Alloy: Ti–6Al–4V journal October 2019
The influence of mechanical constraints introduced by β annealed microstructures on the yield strength and ductility of Ti-6Al-4V journal June 2017
Modeling slip system strength evolution in Ti-7Al informed by in-situ grain stress measurements journal April 2017
The role of elastic anisotropy, length scale and crystallographic slip in fatigue crack nucleation journal May 2013
A method for measuring single-crystal elastic moduli using high-energy X-ray diffraction and a crystal-based finite element model journal October 2010
Incorporating grain-level residual stresses and validating a crystal plasticity model of a two-phase Ti-6Al-4 V alloy produced via additive manufacturing journal December 2018
Microstructural heterogeneity in rate-dependent plasticity of multiphase titanium alloys journal June 2017
Effects of heat treatment and build orientation on the evolution of ϵ and α′ martensite and strength during compressive loading of additively manufactured 304L stainless steel journal August 2020
Microstructure based fatigue life prediction framework for polycrystalline nickel-base superalloys with emphasis on the role played by twin boundaries in crack initiation journal April 2016
Experimental measurement of lattice strain pole figures using synchrotron x rays journal November 2005
The effect of the beta phase on the micromechanical response of dual-phase titanium alloys journal July 2017
A review of dwell sensitive fatigue in titanium alloys: the role of microstructure, texture and operating conditions journal September 2003
The physics of fatigue crack initiation journal December 2013
Insights on slip transmission at grain boundaries from atomistic simulations journal August 2014
The influence of microstructure on surface strain distributions in a nickel micro-tension specimen journal November 2012
Slip band–grain boundary interactions in commercial-purity titanium journal September 2014
Crystal plasticity modeling of slip activity in Ti–6Al–4V under high cycle fatigue loading journal June 2009
Plastic strain localization in metals: origins and consequences journal January 2014
Crystal Plasticity Finite-Element Analysis of Deformation Behavior in Multiple-Grained Lead-Free Solder Joints journal December 2012
Determining the strengths of HCP slip systems using harmonic analyses of lattice strain distributions journal February 2018
DREAM.3D: A Digital Representation Environment for the Analysis of Microstructure in 3D journal April 2014
Room temperature deformation and mechanisms of slip transmission in oriented single-colony crystals of an α/β titanium alloy journal February 1999
Lengthscale-dependent, elastically anisotropic, physically-based hcp crystal plasticity: Application to cold-dwell fatigue in Ti alloys journal June 2007
On the mechanisms of fatigue facet nucleation in titanium alloys journal November 2008
Slip transfer across phase boundaries in dual phase titanium alloys and the effect on strain rate sensitivity journal May 2018
Strain and texture analysis of coatings using high-energy x-rays journal July 2003
Roles of microstructure in fatigue crack initiation journal September 2010
Grain-scale experimental validation of crystal plasticity finite element simulations of tantalum oligocrystals journal September 2014
Tension and torsion fatigue testing of a near-alpha titanium alloy journal September 1992
A neutron diffraction and modeling study of uniaxial deformation in polycrystalline beryllium journal July 2003
Crystallographic plasticity in fretting of Ti–6AL–4V journal October 2003
Crystal plasticity modeling of β phase deformation in Ti-6Al-4V journal August 2017
Orientation dependence of the strain-rate sensitivity and thermally activated flow in iron single crystals journal September 1970
Influence of processing on microstructure and mechanical properties of (α+β) titanium alloys journal March 1998
Crack nucleation using combined crystal plasticity modelling, high-resolution digital image correlation and high-resolution electron backscatter diffraction in a superalloy containing non-metallic inclusions under fatigue journal May 2016
Identification of crystal plasticity parameters using DIC measurements and weighted FEMU journal September 2016
Determination of Ti-6242 α and β slip properties using micro-pillar test and computational crystal plasticity journal October 2016
On cold dwell facet fatigue in titanium alloy aero-engine components journal April 2017
Measuring Stress Distributions in Ti-6Al-4V Using Synchrotron X-Ray Diffraction journal October 2008
On the mechanistic basis of deformation at the microscale in hexagonal close-packed metals
  • Britton, T. B.; Dunne, F. P. E.; Wilkinson, A. J.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 471, Issue 2178 https://doi.org/10.1098/rspa.2014.0881
journal June 2015
Residual strains in HY100 polycrystals: Comparisons of experiments and simulations journal June 2000
Deformation and creep modeling in polycrystalline Ti–6Al alloys journal September 2003
Crystal plasticity simulations of fretting of Ti-6Al-4V in partial slip regime considering effects of texture journal January 2008
Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf journal July 1964
A mathematical representation of the multiaxial Bauschinger effect journal April 2007
Microstructure-sensitive modeling of polycrystalline IN 100 journal October 2008
Strain rate sensitivity, microstructure variations, and stress-assisted β → α′′ phase transformation investigation on the mechanical behavior of dual-phase titanium alloys journal August 2020
The role of defects and critical pore size analysis in the fatigue response of additively manufactured IN718 via crystal plasticity journal July 2018
An investigation of the effects of microstructure on dwell fatigue crack growth in Ti-6242 journal September 2005
Dwell fatigue in two Ti alloys: An integrated crystal plasticity and discrete dislocation study journal November 2016
Evaluation of an inverse methodology for estimating constitutive parameters in face-centered cubic materials from single crystal indentations journal November 2017
Microstructure-based crystal plasticity modeling of cyclic deformation of Ti–6Al–4V journal August 2007
Anisotropy in the room-temperature deformation of αβ colonies in titanium alloys: role of the αβ interface journal April 2004
A methodology to determine the elastic moduli of crystals by matching experimental and simulated lattice strain pole figures using discrete harmonics journal March 2017
Intrinsic anisotropy of strain rate sensitivity in single crystal alpha titanium journal October 2016
Initializing type-2 residual stresses in crystal plasticity finite element simulations utilizing high-energy diffraction microscopy data journal June 2018
Study of residual stresses in Ti-7Al using theory and experiments journal December 2017
A three-dimensional crystal plasticity model for duplex Ti–6Al–4V journal September 2007
Anisotropy in hexagonal close-packed structures: improvements to crystal plasticity approaches applied to magnesium alloy journal December 2013
Uncertainty Quantification in the Mechanical Response of Crystal Plasticity Simulations journal June 2019
Grain-orientation-dependent residual stress and the effect of annealing in cold-rolled stainless steel journal April 2002
Texture heterogeneities induced by subtransus processing of near α titanium alloys journal September 2008
Effect of microstructure on strain localization in a 7050 aluminum alloy: Comparison of experiments and modeling for various textures journal April 2016
The Deformation and Ageing of Mild Steel: III Discussion of Results journal September 1951
Crystal plasticity parameter identification with 3D measurements and Integrated Digital Image Correlation journal September 2016
Plastic heterogeneities of a copper multicrystal deformed in uniaxial tension: experimental study and finite element simulations journal March 2000
Grain boundaries and interfaces in slip transfer journal August 2014
Dwell sensitive fatigue in a near alpha titanium alloy at ambient temperature journal June 1997
On the consideration of interactions between dislocations and grain boundaries in crystal plasticity finite element modeling – Theory, experiments, and simulations journal May 2006
A method to determine the orientation of the high-temperature beta phase from measured EBSD data for the low-temperature alpha phase in Ti-6Al-4V journal April 2003
Kinetics of flow and strain-hardening journal November 1981
On rate-dependent polycrystal deformation: the temperature sensitivity of cold dwell fatigue
  • Zhang, Zhen; Cuddihy, M. A.; Dunne, F. P. E.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 471, Issue 2181 https://doi.org/10.1098/rspa.2015.0214
journal September 2015
Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31 journal May 2009
A micromechanical analysis of the yielding behavior of individual widmanstätten colonies of an α + β titanium alloy journal November 2004
Crystal plasticity modeling of deformation and creep in polycrystalline Ti-6242 journal May 2006
A Comparative Study on Dwell Fatigue of Ti-6Al-2Sn-4Zr-xMo (x = 2 to 6) Alloys on a Microstructure-Normalized Basis journal September 2014
A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations journal May 2006