Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Modeling the role of local crystallographic correlations in microstructures of Ti-6Al-4V using a correlated structure visco-plastic self-consistent polycrystal plasticity formulation

Journal Article · · Acta Materialia
 [1];  [1];  [1];  [2];  [3];  [4];  [1]
  1. Univ. of New Hampshire, Durham, NH (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Army Research Lab., Adelphi, MD (United States)
  4. Air Force Research Lab. (AFRL), Wright-Patterson AFB, OH (United States)
This paper presents a multi-level crystal plasticity-based simulation framework for modeling mechanical response and microstructure evolution of Ti-6Al-4V with α-lath/lamellar microstructures. Here, the model is a correlated structure visco-plastic self-consistent (CS-VPSC) formulation linking three scales: a single crystals micro-scale, a lath/lamellar colony meso-scale, and a lath/lamellar aggregate macro-scale. A selected hardening law for the evolution of critical resolved shear stress per slip system used in CS-VPSC is phenomenological. However, it adjusts the resistances of basal and prismatic slip systems based on the geometry of slip transfer between adjacent lamellae. Consistent with experimental evidences, the resolved shear stress on the pyramidal slip planes is dependent not only on the stress in the direction of slip but also on the two orthogonal shear stress components and the three normal stress components (non-Schmid effects). Electron backscatter diffraction (EBSD) data in conjunction with a procedure relying on α→β phase transformation is used to construct paired variants of α-laths/lamellae satisfying their local crystallographic correlations. The procedure fits volume fractions of individual laths/lamellae with the experimental EBSD data and selects a distribution of habit planes between adjacent variants with respect to the loading direction. The simulation framework is applied to interpret the deformation behavior in tension and compression along two sample directions of Ti-6Al-4V fabricated via laser powder bed fusion. Moreover, the model is used to simulate texture evolution during rolling of the material to large strains. It is demonstrated that the model is capable of predicting plastic anisotropy/asymmetry and the concomitant texture evolution. While the model reveals a significant effect of habit plane inclination with respect to the loading direction on yield stress, the comparison of the data and model predictions shows that a random distribution of habit planes fits the flow response. It is further inferred that the tension-compression asymmetry arises from the non-Schmid effects.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
US Army Research Laboratory (USARL); USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1835771
Report Number(s):
LA-UR--20-26185
Journal Information:
Acta Materialia, Journal Name: Acta Materialia Vol. 203; ISSN 1359-6454
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (83)

Titanium book January 2003
A rationalization of stress-strain behavior of two-ductile phase alloys journal December 1986
Texture strengthening and strength differential in titanium-6Al-4V journal March 1975
Compatibility of deformation in two-phase Ti-Al alloys: Dependence on microstructure and orientation relationships journal July 1995
Microstructure and Texture Evolution during Friction Stir Processing of Fully Lamellar Ti-6Al-4V journal November 2010
Optimization of VPSC Model Parameters for Two-Phase Titanium Alloys: Flow Stress Vs Orientation Distribution Function Metrics journal June 2018
An Overview of the Thermomechanical Processing of α/β Titanium Alloys: Current Status and Future Research Opportunities journal January 2020
Evidence of a Massive Transformation in a Ti-6Al-4V Solid-State Weld? journal March 2013
Progress in Additive Manufacturing journal February 2015
Review of Mechanical Properties of Ti-6Al-4V Made by Laser-Based Additive Manufacturing Using Powder Feedstock journal December 2015
Oxygen effects on the mechanical properties and lattice strain of Ti and Ti-6Al-4V journal October 2011
Stress-state dependence of slip in Titanium-6Al-4V and other H.C.P. metals journal June 1981
The relation between macroscopic and microscopic strain hardening in F.C.C. polycrystals journal October 1984
Yield surfaces for textured polycrystals—I. Crystallographic approach journal February 1987
A self consistent approach of the large deformation polycrystal viscoplasticity journal December 1987
Crystallographic texture evolution in bulk deformation processing of FCC metals journal January 1992
A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys journal September 1993
Evaluation of the high temperature texture of the β phase of a TA6V sample from the individual orientations of grains of the low temperature α phase journal February 1994
On the process of transition of the cubic-body-centered modification into the hexagonal-close-packed modification of zirconium journal May 1934
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
Investigation of the α- and β- texture evolution of hot rolled Ti-64 products journal November 1996
Recent advances in modelling polycrystals with complex microstructures journal December 1997
Effect of self-accommodation on α/α boundary populations in pure titanium journal May 2003
Plastic flow of γ-TiAl-based polysynthetically twinned crystals: micromechanical modeling and experimental validation journal August 1998
Room temperature deformation and mechanisms of slip transmission in oriented single-colony crystals of an α/β titanium alloy journal February 1999
Crystallographic variant selection in Ti–6Al–4V journal October 2004
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 journal January 2007
Grain size and orientation distributions: Application to yielding of α-titanium journal May 2009
〈c+a〉 Dislocations in deformed Ti–6Al–4V micro-cantilevers journal September 2014
Slip band–grain boundary interactions in commercial-purity titanium journal September 2014
On slip initiation in equiaxed α/β Ti-6Al-4V journal September 2017
Determining the strengths of HCP slip systems using harmonic analyses of lattice strain distributions journal February 2018
Explicit modeling of double twinning in AZ31 using crystal plasticity finite elements for predicting the mechanical fields for twin variant selection and fracture analyses journal September 2018
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
Explicit incorporation of deformation twins into crystal plasticity finite element models journal October 2015
A new visco-plastic self-consistent formulation implicit in dislocation-based hardening within implicit finite elements: Application to high strain rate and impact deformation of tantalum journal November 2018
A finite element methodology to incorporate kinematic activation of discrete deformation twins in a crystal plasticity framework journal January 2020
Fast computation of first-order elastic–plastic closures for polycrystalline cubic-orthorhombic microstructures journal May 2007
Application of microstructure sensitive design to structural components produced from hexagonal polycrystalline metals journal August 2008
Material-based design of the extrusion of bimetallic tubes journal December 2014
Effect of added ethanol in ethylene glycol–NaCl electrolyte on titanium electropolishing journal September 2015
Grain boundaries and interfaces in slip transfer journal August 2014
On the mechanical behaviour of titanium alloy TiAl6V4 manufactured by selective laser melting: Fatigue resistance and crack growth performance journal March 2013
Anisotropic modeling of structural components using embedded crystal plasticity constructive laws within finite elements journal January 2016
Modelling the temperature and texture effects on the deformation mechanisms of magnesium alloy AZ31 journal September 2020
Computationally efficient database and spectral interpolation for fully plastic Taylor-type crystal plasticity calculations of face-centered cubic polycrystals journal July 2008
The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals journal September 2009
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials journal May 2012
Texture evolution in two-phase Zr/Nb lamellar composites during accumulative roll bonding journal June 2014
A strain-rate and temperature dependent constitutive model for BCC metals incorporating non-Schmid effects: Application to tantalum–tungsten alloys journal November 2014
Coupling elasto-plastic self-consistent crystal plasticity and implicit finite elements: Applications to compression, cyclic tension-compression, and bending to large strains journal June 2017
Quantitative investigation of micro slip and localization in polycrystalline materials under uniaxial tension journal September 2018
Effects of build orientation and heat treatment on the evolution of microstructure and mechanical properties of alloy Mar-M-509 fabricated via laser powder bed fusion journal October 2019
Modeling of the thermo-mechanical response and texture evolution of WE43 Mg alloy in the dynamic recrystallization regime using a viscoplastic self-consistent formulation journal July 2020
Coupled texture and non-Schmid effects on yield surfaces of body-centered cubic polycrystals predicted by a crystal plasticity finite element approach journal March 2017
Integration of self-consistent polycrystal plasticity with dislocation density based hardening laws within an implicit finite element framework: Application to low-symmetry metals journal October 2013
A dislocation density based crystal plasticity finite element model: Application to a two-phase polycrystalline HCP/BCC composites journal May 2014
Activity of pyramidal I and II slip in Mg alloys as revealed by texture development journal February 2018
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
Texture formation in orthorhombic alpha-uranium under simple compression and rolling to high strains journal May 2016
Non-acid, alcohol-based electropolishing enables high-quality electron backscatter diffraction characterization of titanium and its alloys: Application to pure Ti and Ti-6Al-4V journal August 2020
Formation and control of martensite in Ti-6Al-4V alloy produced by selective laser melting journal October 2016
Additive manufacturing of Ti6Al4V alloy: A review journal February 2019
Analysis of slip transfer and deformation behavior across the α/β interface in Ti–5Al–2.5Sn (wt.%) with an equiaxed microstructure journal August 2012
Image-based crystal plasticity FE framework for microstructure dependent properties of Ti–6Al–4V alloys journal September 2012
Modeling bending of α-titanium with embedded polycrystal plasticity in implicit finite elements journal March 2013
Texture analysis with the new HIPPO TOF diffractometer
  • Wenk, H. -R.; Lutterotti, L.; Vogel, S.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 515, Issue 3 https://doi.org/10.1016/j.nima.2003.05.001
journal December 2003
The influence of the alpha grain size on internal fatigue crack initiation in drawn Ti-6Al-4V wires journal January 2016
The effect of microstructure on very high cycle fatigue properties in Ti–6Al–4V journal July 2010
A powder metallurgy method for manufacturing Ti-6Al-4V with wrought-like microstructures and mechanical properties via hydrogen sintering and phase transformation (HSPT) journal October 2015
Modeling discrete twin lamellae in a microstructural framework journal August 2016
Tension–compression asymmetry of 〈 c + a 〉 slip in Ti–6Al journal March 2020
Hydrogen-enabled microstructure and fatigue strength engineering of titanium alloys journal February 2017
The prospects for additive manufacturing of bulk TiAl alloy journal April 2016
Observation of tension–compression asymmetry in α and titanium alloys journal January 2005
Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations journal August 2007
Enhancing tribological performance of Ti-6Al-4V by sliding process journal June 2018
Anomalous Basal Slip Activity in Zirconium under High-strain Deformation journal September 2013
Modelling the role of local correlations in polycrystal plasticity using viscoplastic self-consistent schemes journal September 1999
Determination of the Orientation of a Parent β Grain from the Orientations of the Inherited α Plates in the Phase Transformation from Body-Centred Cubic to Hexagonal Close Packed journal October 1995
Determining the orientation of parent β grain from one α variant in titanium alloys journal July 2018
Pathways to Optimize Performance/Cost Ratio of Powder Metallurgy Titanium – A Perspective journal August 2012
The Development of Deformation Textures as a Function of the Phase Fractions in Two-Phase Titanium-Based Alloys journal May 1994

Similar Records

In situ analysis of plasticity and damage nucleation in a Ti-6Al-4V alloy and laser weld
Journal Article · Fri Dec 14 23:00:00 EST 2018 · Materials Characterization · OSTI ID:23112946

Deformation behavior of HCP titanium alloy: Experiment and Crystal plasticity modeling
Journal Article · Thu Mar 01 19:00:00 EST 2018 · Materials Science and Engineering. A, Structural Materials: Properties, Microstructure and Processing · OSTI ID:1432623

Incorporating dynamic recrystallization into a crystal plasticity model for high-temperature deformation of Ti-6Al-4V
Journal Article · Wed May 31 20:00:00 EDT 2023 · Materials Science and Engineering. A, Structural Materials: Properties, Microstructure and Processing · OSTI ID:2419827