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

Polycrystal Plasticity: Comparison Between Grain - Scale Observations of Deformation and Simulations

Journal Article · · Annual Review of Condensed Matter Physics
 [1];  [2];  [3];  [4];  [5];  [6];  [2];  [2]
  1. Carnegie Mellon Univ., Pittsburgh, PA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Carnegie Mellon Univ., Pittsburgh, PA (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Indian Inst. of Technology Madras (IIT-Madras), Chennai (India)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Carnegie Mellon Univ., Pittsburgh, PA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  6. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
Here, the response of polycrystals to plastic deformation is studied at the level of variations within individual grains, and comparisons are made to theoretical calculations using crystal plasticity (CP). We provide a brief overview of CP and a review of the literature, which is dominated by surface observations. The motivating question asks how well does CP represent the mesoscale behavior of large populations of dislocations (as carriers of plastic strain). The literature shows consistently that only moderate agreement is found between experiment and calculation. We supplement this with a current example of microstructure evolution in the interior of a copper sample subjected to tensile deformation. Nondestructive measurements of orientation fields were performed using the near-field high-energy X-ray diffraction microscopy (nf-HEDM) technique at the Advanced Photon Source (APS). Starting at highly ordered grains, a single two-dimensional slice of microstructure containing ~150 grains was followed through multiple strain states, where it tracked lattice rotations and defect accumulation of up to 14% elongation. In accord with the literature, at the scale of individual grains, comparison of observations with CP models indicates reasonable qualitative agreement but significant variations between simulation and experiment are apparent. The conclusion is that in order to be able to quantify the effects of microstructure on the distributions of slip, orientation change, and damage accumulation, the empirically derived constitutive relations used in continuum-scale simulations need to be improved. Equally important will be the development of large-scale simulations of polycrystals that directly model dislocations.
Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States). Advanced Photon Source (APS); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
AC02-05CH11231; AC02-06CH11357; AC52-07NA27344; SC0002001
OSTI ID:
1763197
Report Number(s):
LLNL-JRNL--646271; 766457
Journal Information:
Annual Review of Condensed Matter Physics, Journal Name: Annual Review of Condensed Matter Physics Journal Issue: 1 Vol. 5; ISSN 1947-5454
Publisher:
Annual ReviewsCopyright Statement
Country of Publication:
United States
Language:
English

References (100)

3D X-Ray Crystal Microscope journal October 2000
Self Consistent Homogenization Methods for Texture and Anisotropy
  • Tome, Carlos Norberto; Lebensohn, Ricardo Anibal
  • Continuum Scale Simulation of Engineering Materials: Fundamentals – Microstructures – Process Applications https://doi.org/10.1002/3527603786.ch23
book June 2004
Electron Backscatter Diffraction in Materials Science book January 2009
Statistical physical approach to describe the collective properties of dislocations book January 2010
Constitutive Behavior Based on Crystal Plasticity book January 1987
Detection of plastic deformation patterns in a binary aluminum alloy journal December 1997
Three-Dimensional X-Ray Diffraction Microscopy book January 2004
Microcanonical Entropy and Mesoscale Dislocation Mechanics and Plasticity journal March 2011
A fatigue crack initiation model incorporating discrete dislocation plasticity and surface roughness journal November 2007
Determination of volume fractions of texture components with standard distributions in euler space journal March 2004
Effects of Deformation Twinning on Energy Dissipation in High Rate Deformed Zirconium journal November 2007
Experimental Characterization and Crystal Plasticity Modeling of Heterogeneous Deformation in Polycrystalline α-Ti journal June 2010
Finite Element Study of Intragrain Plastic Heterogeneity near a Triple Junction journal October 2010
High-energy diffraction microscopy at the advanced photon source journal July 2011
An analysis of nonuniform and localized deformation in ductile single crystals journal June 1982
Theory of torsion texture development journal February 1984
The relation between macroscopic and microscopic strain hardening in F.C.C. polycrystals journal October 1984
The concepts of latent hardening and strain hardening in metallic single crystals journal September 1985
Overview no. 42 Texture development and strain hardening in rate dependent polycrystals journal June 1985
Effects of grain interactions on deformation and local texture in polycrystals journal July 1995
Experimental characterization of the local strain field in a heterogeneous elastoplastic material journal November 1994
Direct observation of orientation change by channel die compression of polycrystalline aluminum—Use of a split sample journal March 1996
Effects of interactions among crystals on the inhomogeneous deformations of polycrystals journal May 1996
Work hardening and rate sensitivity material coefficients for OFHC Cu and 99.99% A1 journal October 1984
Determination of the size of the representative volume element for random composites: statistical and numerical approach journal June 2003
A numerical method for computing the overall response of nonlinear composites with complex microstructure journal April 1998
Microstructure based fatigue life predictions for thick plate 7050-T7451 airframe alloys journal June 1997
Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model journal January 2001
Intergranular and intragranular behavior of polycrystalline aggregates.Part 2: Results journal January 2001
Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties journal October 2003
A new tool for the experimental characterization of micro-plasticity journal January 2003
On the experimental characterization of crystal plasticity in polycrystals journal September 2003
Experimental analysis of plastic deformation of steel grains Comparison with polycrystal models predictions journal August 1997
N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform journal August 2001
Micromechanical and macromechanical effects in grain scale polycrystal plasticity experimentation and simulation journal October 2001
Discrete dislocation plasticity modeling of short cracks in single crystals journal January 2003
On the influence of the grain boundary misorientation on the plastic deformation of aluminum bicrystals journal September 2003
Scaling of microstructural parameters: Misorientations of deformation induced boundaries journal January 1997
Compressive deformation and yielding mechanisms in cellular Al alloys determined using X-ray tomography and surface strain mapping journal June 1998
Plastic heterogeneities of a copper multicrystal deformed in uniaxial tension: experimental study and finite element simulations journal March 2000
Effect of the free surface on strain localization in mild steel journal May 2000
Level set simulations of dislocation-particle bypass mechanisms journal April 2004
Lattice rotations of individual bulk grains Part II: correlation with initial orientation and model comparison journal June 2004
Investigating the effect of grain interaction during plastic deformation of copper journal September 2004
On the consideration of interactions between dislocations and grain boundaries in crystal plasticity finite element modeling – Theory, experiments, and simulations journal May 2006
A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations journal May 2006
Slip systems extracted from lattice rotations and dislocation structures journal May 2008
Orientation image-based micromechanical modelling of subgrain texture evolution in polycrystalline copper journal September 2008
Measuring and modeling distributions of stress state in deforming polycrystals journal September 2008
Modeling dislocation storage rates and mean free paths in face-centered cubic crystals journal December 2008
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications journal February 2010
Microstructure-sensitive extreme-value probabilities of high-cycle fatigue for surface vs. subsurface crack formation in duplex Ti–6Al–4V journal January 2012
Crystal orientation changes: A comparison between a crystal plasticity finite element study and experimental results journal March 2012
Observation of recovery and recrystallization in high-purity aluminum measured with forward modeling analysis of high-energy diffraction microscopy journal June 2012
A structural integrity prognosis system journal March 2009
Multiscale modelling of the plastic anisotropy and deformation texture of polycrystalline materials journal July 2006
Investigating the limits of polycrystal plasticity modeling journal February 2005
Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity journal April 2005
Investigation of three-dimensional aspects of grain-scale plastic surface deformation of an aluminum oligocrystal journal December 2008
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials journal May 2012
Hybrid dislocation dynamics based strain hardening constitutive model journal October 2013
Effects of lattice misorientations on strain heterogeneities in FCC polycrystals journal April 2006
Grain orientation fragmentation in hot-deformed aluminium: Experiment and simulation journal March 2012
Grain-resolved elastic strains in deformed copper measured by three-dimensional X-ray diffraction journal July 2011
Orientation dependence of dislocation structure evolution during cold rolling of aluminum journal October 2008
A study of the heterogeneity of plastic deformation in IF steel by EBSD journal June 2012
Some steps towards a continuum representation of 3D dislocation systems journal March 2006
Tracking correlations between mechanical response and microstructure in three-dimensional reconstructions of a commercial stainless steel journal April 2008
Measurement of geometrically necessary dislocation density with high resolution electron backscatter diffraction: Effects of detector binning and step size journal February 2013
Election of Office-Bearers journal July 1893
Forward modeling method for microstructure reconstruction using x-ray diffraction microscopy: Single-crystal verification journal December 2006
Three-dimensional grain mapping by x-ray diffraction contrast tomography and the use of Friedel pairs in diffraction data analysis journal March 2009
Heating in crystalline solids due to rapid deformation journal February 1986
Application of the Theory of Extreme Values in Fracture Problems journal September 1948
Minimum Life in Fatigue journal September 1954
Ensemble averaging stress–strain fields in polycrystalline aggregates with a constrained surface microstructure – Part 1: anisotropic elastic behaviour journal March 2007
Mesoscale strain measurement in deformed crystals: A comparison of X-ray microdiffraction with electron backscatter diffraction journal April 2010
A simulation of texture development in f.c.c. metals journal February 1972
XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. journal April 1951
Small-scale patterning methods for digital image correlation under scanning electron microscopy journal October 2011
Stress hot spots in viscoplastic deformation of polycrystals journal September 2010
Comparison of finite element and fast Fourier transform crystal plasticity solvers for texture prediction journal October 2010
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
Phase-field modeling of defect nucleation and propagation in domains with material inhomogeneities journal February 2013
Latent Hardening in Single Crystals II. Analytical Characterization and Predictions journal October 1991
Detailed analyses of grain–scale plastic deformation in columnar polycrystalline aluminium using orientation image mapping and crystal plasticity models
  • Kalidindi, Surya R.; Bhattacharyya, Abhishek; Doherty, Roger D.
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 460, Issue 2047 https://doi.org/10.1098/rspa.2003.1260
journal July 2004
Three-dimensional maps of grain boundaries and the stress state of individual grains in polycrystals and powders journal November 2001
Reconstruction of grain boundaries in polycrystals by filtered back-projection of diffraction spots journal March 2003
Determining grain resolved stresses in polycrystalline materials using three-dimensional X-ray diffraction journal April 2010
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
Probing Microstructure Dynamics With X-Ray Diffraction Microscopy journal March 2008
Advances in Discrete Dislocations Dynamics and Multiscale Modeling journal September 2009
In Situ Measurement of Grain Rotation During Deformation of Polycrystals journal March 2001
Far-field high-energy diffraction microscopy: a tool for intergranular orientation and strain analysis journal July 2011
Opportunities for mesoscale science journal November 2012
From Quanta to the Continuum: Opportunities for Mesoscale Science September 2012
Time Evolution in 3D Metal Microstructures — Recrystallization journal January 2009
In Situ Observation of Recovery and Grain Growth in High Purity Aluminum journal April 2012

Cited By (14)

Modeling of Processing-Induced Pore Morphology in an Additively-Manufactured Ti-6Al-4V Alloy journal February 2017
The Population of Twin Related Boundaries in High Purity Nickel as Measured with Near-Field High Energy X-Ray Diffraction Microscopy book November 2014
Two-color thermosensors based on [Y $$_{1-x}$$ 1 - x Dy $$_x$$ x (acetylacetonate) $$_3$$ 3 (1,10-phenanthroline)] molecular crystals journal February 2017
In-Situ Grain Resolved Stress Characterization During Damage Initiation in Cu-10%W Alloy journal July 2019
A rotational and axial motion system load frame insert for in situ high energy x-ray studies journal September 2015
Shock induced damage in copper: A before and after, three-dimensional study journal April 2016
High pressure phase transformations revisited journal March 2018
Intragranular three-dimensional stress tensor fields in plastically deformed polycrystals journal December 2019
A rotational and axial motion system load frame insert for in situ high energy x-ray studies text January 2018
Understanding materials microstructure and behavior at the mesoscale journal November 2015
Shock induced damage in copper: A before and after, three-dimensional study text January 2016
A rotational and axial motion system load frame insert for in situ high energy x-ray studies text January 2015
The Population of Twin Related Boundaries in High Purity Nickel as measured with near‐field High Energy X‐ray Diffraction Microscopy text January 2014
The Population of Twin Related Boundaries in High Purity Nickel as Measured with Near-Field High Energy X-Ray Diffraction Microscopy conference January 2014

Similar Records

Microstructure and flow stress of polycrystals and single crystals
Journal Article · Sun Mar 01 23:00:00 EST 1998 · Acta Materialia · OSTI ID:616404

Multi-scale Modeling of Plasticity in Tantalum.
Technical Report · Mon Nov 30 23:00:00 EST 2015 · OSTI ID:1234811

Effects of grain interactions on deformation and local texture in polycrystals
Journal Article · Sat Jul 01 00:00:00 EDT 1995 · Acta Metallurgica et Materialia · OSTI ID:100634