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Crystal Plasticity Model Validation Using Combined High-Energy Diffraction Microscopy Data for a Ti-7Al Specimen

Journal Article · · Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science
 [1];  [1];  [2];  [2];  [3];  [4];  [5];  [4]
  1. Air Force Research Lab., Wright-Patterson AFB (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Air Force Research Lab., Wright-Patterson AFB (United States); Nutonian Inc., Somerville, MA (United States)
  4. Argonne National Lab. (ANL), Argonne, IL (United States)
  5. Carnegie Mellon Univ., Pittsburgh, PA (United States)
High-Energy Diffraction Microscopy (HEDM) is a 3-d x-ray characterization method that is uniquely suited to measuring the evolving micromechanical state and microstructure of polycrystalline materials during in situ processing. The near-field and far-field configurations provide complementary information; orientation maps computed from the near-field measurements provide grain morphologies, while the high angular resolution of the far-field measurements provide intergranular strain tensors. The ability to measure these data during deformation in situ makes HEDM an ideal tool for validating micro-mechanical deformation models that make their predictions at the scale of individual grains. Crystal Plasticity Finite Element Models (CPFEM) are one such class of micro-mechanical models. While there have been extensive studies validating homogenized CPFEM response at a macroscopic level, a lack of detailed data measured at the level of the microstructure has hindered more stringent model validation efforts. Here, we utilize an HEDM dataset from an alphatitanium alloy (Ti-7Al), collected at the Advanced Photon Source, Argonne National Laboratory, under in situ tensile deformation. The initial microstructure of the central slab of the gage section, measured via near-field HEDM, is used to inform a CPFEM model. The predicted intergranular stresses for 39 internal grains are then directly compared to data from 4 far-field measurements taken between ~4% and ~80% of the macroscopic yield strength. In conclusion, the intergranular stresses from the CPFEM model and far-field HEDM measurements up to incipient yield are shown to be in good agreement, and implications for application of such an integrated computational/experimental approach to phenomena such as fatigue and crack propagation is discussed.
Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Air Force Research Laboratory (AFRL), Materials and Manufacturing Directorate
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1390797
Alternate ID(s):
OSTI ID: 1763186
Journal Information:
Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science, Journal Name: Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science Journal Issue: 2 Vol. 48; ISSN 1073-5623
Publisher:
ASM InternationalCopyright Statement
Country of Publication:
United States
Language:
English

References (35)

Coupling Diffraction Contrast Tomography with the Finite Element Method : Coupling Diffraction Contrast Tomography … journal November 2015
W. F. Hosford. The mechanics of crystals and textured polycrystals. Oxford University Press, New York–Oxford 1993. 248 Seiten, Preis £ 30,–. ISBN 0-19-507744-X journal January 1994
Three-Dimensional X-Ray Diffraction Microscopy book January 2004
Residual strains in HY100 polycrystals: Comparisons of experiments and simulations journal June 2000
A methodology for determining average lattice orientation and its application to the characterization of grain substructure journal August 2001
Fast fourier transform-based modeling for the determination of micromechanical fields in polycrystals journal March 2011
High-energy diffraction microscopy at the advanced photon source journal July 2011
Overview no. 42 Texture development and strain hardening in rate dependent polycrystals journal June 1985
Finite element analysis of crystalline solids journal September 1985
Computational crystal plasticity journal January 2000
Elastoplastic finite element analyses of metal deformations using polycrystal constitutive models journal November 1998
On modelling the elasto-viscoplastic response of metals using polycrystal plasticity journal November 1998
Strain tensor development in a single grain in the bulk of a polycrystal under loading journal April 2002
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials journal May 2012
Analyzing the orientation dependence of stresses in polycrystals using vertices of the single crystal yield surface and crystallographic fibers of orientation space journal January 2010
Thermal Fatigue of Metals journal April 1944
Thermal Fatigue of Metals journal September 1944
Forward modeling method for microstructure reconstruction using x-ray diffraction microscopy: Single-crystal verification journal December 2006
A rotational and axial motion system load frame insert for in situ high energy x-ray studies journal September 2015
Crystal level continuum modelling of phase transformations: the α ↔ epsi transformation in iron journal June 2005
Modeling large-strain deformation behavior and neighborhood effects during hot working of a coarse-grain nickel-base superalloy journal August 2011
The influence of microstructure on surface strain distributions in a nickel micro-tension specimen journal November 2012
Bakerian Lecture. The Distortion of an Aluminium Crystal during a Tensile Test journal March 1923
Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf journal July 1964
Three-dimensional maps of grain boundaries and the stress state of individual grains in polycrystals and powders journal November 2001
Determining grain resolved stresses in polycrystalline materials using three-dimensional X-ray diffraction journal April 2010
An introduction to three-dimensional X-ray diffraction microscopy journal October 2012
Three-dimensional plastic response in polycrystalline copper via near-field high-energy X-ray diffraction microscopy journal October 2012
Adaptive reconstruction method for three-dimensional orientation imaging journal March 2013
The anisotropy of the thermal expansion of α-titanium journal March 1968
Modeling the Influence of Material Structure on Deformation Induced Surface Roughening in AA7050 Thick Plate journal November 2006
Far-field high-energy diffraction microscopy: a tool for intergranular orientation and strain analysis journal July 2011
A rotational and axial motion system load frame insert for in situ high energy x-ray studies text January 2018
A rotational and axial motion system load frame insert for in situ high energy x-ray studies text January 2015
A rotational and axial motion system load frame insert for in situ high energy x-ray studies text January 2015

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Data-Driven Correlation Analysis Between Observed 3D Fatigue-Crack Path and Computed Fields from High-Fidelity, Crystal-Plasticity, Finite-Element Simulations journal May 2018
Heterogeneous Internal Strain Evolution in Commercial Purity Titanium Due to Anisotropic Coefficients of Thermal Expansion journal September 2019
InSitμ@CHESS, a Resource for Studying Structural Materials journal May 2017
Intragranular three-dimensional stress tensor fields in plastically deformed polycrystals journal December 2019