In-situ high-energy X-ray diffraction and crystal plasticity modeling to predict the evolution of texture, twinning, lattice strains and strength during loading and reloading of beryllium

Ferreri, Nicholas Charles; Feng, Zhangxi; Savage, Daniel Jonathan; Brown, Donald William; Clausen, Bjørn; Sisneros, Thomas A.; Knezevic, Marko

doi:10.1016/j.ijplas.2022.103217

Title: In-situ high-energy X-ray diffraction and crystal plasticity modeling to predict the evolution of texture, twinning, lattice strains and strength during loading and reloading of beryllium

Journal Article · 10 January 2022 · International Journal of Plasticity

DOI: https://doi.org/10.1016/j.ijplas.2022.103217 · OSTI ID:2290305

Ferreri, Nicholas Charles ^[1]; Feng, Zhangxi ^[1];

^[2];

^[3];

^[3]; Sisneros, Thomas A. ^[3]; Knezevic, Marko ^[1]

Univ. of New Hampshire, Durham, NH (United States)
Univ. of New Hampshire, Durham, NH (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Deformation behavior of beryllium during compressive loading and cross-reloading is studied using in-situ high energy synchrotron X-ray diffraction microscopy and crystal plasticity modeling. Here, the evolution of texture, twinning, elastic lattice strains, and flow stress are measured and compared with the predictions of an advanced elastic-plastic self-consistent (EPSC) crystal plasticity model. The model is initialized with the experimentally measured texture and residual stress produced by a simulation of cooling and calibrated to establish a set of model parameters using a portion of the measured data. The rest of the measured data is used for validation of the model. It is shown that the model is sufficiently flexible to reproduce the particularities pertaining to the complex strain-path-change and strain rate sensitive deformation of the material including the evolution of texture, twinning, lattice strains, transients in the stress-strain response, and anisotropic hardening with great accuracy using a single set of model parameters. From the comparison of the experimental data and predictions, we infer that the shifts in active deformation mechanisms between the slip systems from soft to hard and vice versa as well as between twinning to de-twinning are primarily responsible for drastic changes in the flow stress from one path to another. In particular, deformation twins form during compressive in-plane loading followed either by de-twinning during compressive cross-reloading in the through-thickness direction or by forming additional twin variants with some de-twinning of the existing variants during a compressive cross-reloading in another in-plane direction. The shifts in active deformation mechanisms are a consequence of changes in texture relative to the compression direction mediated with the deformation history and strain rate dependent dislocation density evolution governing hardening. The secondary effects improving the predictions come from accounting for residual stress, slip system-level backstress, and latent hardening.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

Grant/Contract Number:: 89233218CNA000001; AC02-06CH11357

OSTI ID:: 2290305

Report Number(s):: LA-UR-22-20284

Journal Information:: International Journal of Plasticity, Vol. 150; ISSN 0749-6419

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (124)

Modeling of the thermo-mechanical response and texture evolution of WE43 Mg alloy in the dynamic recrystallization regime using a viscoplastic self-consistent formulation Zecevic, Miroslav; Knezevic, Marko; McWilliams, Brandon International Journal of Plasticity, Vol. 130 https://doi.org/10.1016/j.ijplas.2020.102705	journal	July 2020
The Influence of Sample Preparation on the Quantitative Analysis of the Volume Fraction of Martensite Formed in a 304l Trip Steel Alves, Juciane Maria; Brandao, Luiz Paulo; Paula, Andersan dos Santos Materials Research, Vol. 18, Issue suppl 2 https://doi.org/10.1590/1516-1439.347714	journal	October 2015
The type of dislocation interaction as the factor determining work hardening Lavrentev, F. F. Materials Science and Engineering, Vol. 46, Issue 2 https://doi.org/10.1016/0025-5416(80)90175-5	journal	December 1980
Procedures for reducing large datasets of crystal orientations using generalized spherical harmonics Knezevic, Marko; Landry, Nicholas W. Mechanics of Materials, Vol. 88 https://doi.org/10.1016/j.mechmat.2015.04.014	journal	September 2015
Deep drawing simulations using the finite element method embedding a multi-level crystal plasticity constitutive law: Experimental verification and sensitivity analysis Barrett, Timothy J.; Knezevic, Marko Computer Methods in Applied Mechanics and Engineering, Vol. 354 https://doi.org/10.1016/j.cma.2019.05.035	journal	September 2019
A high-performance computational framework for fast crystal plasticity simulations Knezevic, Marko; Savage, Daniel J. Computational Materials Science, Vol. 83 https://doi.org/10.1016/j.commatsci.2013.11.012	journal	February 2014
Spectral database constitutive representation within a spectral micromechanical solver for computationally efficient polycrystal plasticity modelling Eghtesad, Adnan; Zecevic, Miroslav; Lebensohn, Ricardo A. Computational Mechanics, Vol. 61, Issue 1-2 https://doi.org/10.1007/s00466-017-1413-4	journal	May 2017
Demonstration of alloying, thermal activation, and latent hardening effects on quasi-static and dynamic polycrystal plasticity of Mg alloy, WE43-T5, plate Bhattacharyya, J. J.; Wang, F.; Wu, P. D. International Journal of Plasticity, Vol. 81 https://doi.org/10.1016/j.ijplas.2016.01.005	journal	June 2016
The dislocation structure in beryllium single crystals deformed by prismatic slip Jönsson, S.; Beuers, J. Materials Science and Engineering, Vol. 91 https://doi.org/10.1016/0025-5416(87)90289-8	journal	July 1987
Finite element analysis using an incremental elasto-visco-plastic self-consistent polycrystal model: FE simulations on Zr and low-carbon steel subjected to bending, stress-relaxation, and unloading. Jeong, Youngung; Jeon, Bohye; Tomé, Carlos N. International Journal of Plasticity, Vol. 147 https://doi.org/10.1016/j.ijplas.2021.103110	journal	December 2021
Modelling recrystallization textures driven by intragranular fluctuations implemented in the viscoplastic self-consistent formulation Zecevic, Miroslav; Lebensohn, Ricardo A.; McCabe, Rodney J. Acta Materialia, Vol. 164 https://doi.org/10.1016/j.actamat.2018.11.002	journal	February 2019
Modeling lattice strain evolution at finite strains and experimental verification for copper and stainless steel using in situ neutron diffraction Neil, C. J.; Wollmershauser, J. A.; Clausen, B. International Journal of Plasticity, Vol. 26, Issue 12 https://doi.org/10.1016/j.ijplas.2010.03.005	journal	December 2010
Investigations on some Deformation Modes of Beryllium Poirier, J. P.; Antolin, J.; Dupouy, J. M. Canadian Journal of Physics, Vol. 45, Issue 2 https://doi.org/10.1139/p67-090	journal	February 1967
Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals Niezgoda, Stephen R.; Kanjarla, Anand K.; Beyerlein, Irene J. International Journal of Plasticity, Vol. 56 https://doi.org/10.1016/j.ijplas.2013.11.005	journal	May 2014
Influence of strain rate on mechanical properties and deformation texture of hot-pressed and rolled beryllium Sisneros, T. A.; Brown, D. W.; Clausen, B. Materials Science and Engineering: A, Vol. 527, Issue 20 https://doi.org/10.1016/j.msea.2010.04.035	journal	July 2010
Reorientation and stress relaxation due to twinning: Modeling and experimental characterization for Mg Clausen, B.; Tomé, C. N.; Brown, D. W. Acta Materialia, Vol. 56, Issue 11 https://doi.org/10.1016/j.actamat.2008.01.057	journal	June 2008
A crystallographic extension to the Olson-Cohen model for predicting strain path dependence of martensitic transformation Zecevic, Milovan; Upadhyay, Manas V.; Polatidis, Efthymios Acta Materialia, Vol. 166 https://doi.org/10.1016/j.actamat.2018.12.060	journal	March 2019
Average intragranular misorientation trends in polycrystalline materials predicted by a viscoplastic self-consistent approach Lebensohn, Ricardo A.; Zecevic, Miroslav; Knezevic, Marko Acta Materialia, Vol. 104 https://doi.org/10.1016/j.actamat.2015.10.035	journal	February 2016
Development of crystallographic texture during high rate deformation of rolled and hot-pressed beryllium Brown, D. W.; Abeln, S. P.; Blumenthal, W. R. Metallurgical and Materials Transactions A, Vol. 36, Issue 4 https://doi.org/10.1007/s11661-005-0287-9	journal	April 2005
A dislocation density based elasto-plastic self-consistent model for the prediction of cyclic deformation: Application to AA6022-T4 Zecevic, Milovan; Knezevic, Marko International Journal of Plasticity, Vol. 72 https://doi.org/10.1016/j.ijplas.2015.05.018	journal	September 2015
A full-field crystal plasticity model including the effects of precipitates: Application to monotonic, load reversal, and low-cycle fatigue behavior of Inconel 718 Eghtesad, Adnan; Knezevic, Marko Materials Science and Engineering: A, Vol. 803 https://doi.org/10.1016/j.msea.2020.140478	journal	January 2021
Role of twinning and slip during compressive deformation of beryllium as a function of strain rate Brown, D. W.; Beyerlein, I. J.; Sisneros, T. A. International Journal of Plasticity, Vol. 29 https://doi.org/10.1016/j.ijplas.2011.08.006	journal	February 2012
A neutron diffraction and modeling study of uniaxial deformation in polycrystalline beryllium Brown, D. W.; Bourke, M. A. M.; Tomé, C. N. Metallurgical and Materials Transactions A, Vol. 34, Issue 7 https://doi.org/10.1007/s11661-003-0256-0	journal	July 2003
High-performance full-field crystal plasticity with dislocation-based hardening and slip system back-stress laws: Application to modeling deformation of dual-phase steels Eghtesad, Adnan; Knezevic, Marko Journal of the Mechanics and Physics of Solids, Vol. 134 https://doi.org/10.1016/j.jmps.2019.103750	journal	January 2020
Latent hardening and plastic anisotropy evolution in AA6060 aluminium alloy Khadyko, M.; Dumoulin, S.; Cailletaud, G. International Journal of Plasticity, Vol. 76 https://doi.org/10.1016/j.ijplas.2015.07.010	journal	January 2016
Mechanical response of zirconium—I. Derivation of a polycrystal constitutive law and finite element analysis Tomé, C. Acta Materialia, Vol. 49, Issue 15 https://doi.org/10.1016/S1359-6454(01)00190-2	journal	September 2001
Grain size and orientation distributions: Application to yielding of α-titanium Fromm, Bradley S.; Adams, Brent L.; Ahmadi, Sadegh Acta Materialia, Vol. 57, Issue 8 https://doi.org/10.1016/j.actamat.2008.12.037	journal	May 2009
Mechanical behavior of low carbon steel subjected to strain path changes: Experiments and modeling Wen, W.; Borodachenkova, M.; Tomé, C. N. Acta Materialia, Vol. 111 https://doi.org/10.1016/j.actamat.2016.03.075	journal	June 2016
The formation and behaviour of incoherent twin boundaries in hexagonal metals Partridge, P. G.; Roberts, E. Acta Metallurgica, Vol. 12, Issue 11 https://doi.org/10.1016/0001-6160(64)90103-8	journal	November 1964
Deformation twinning in AZ31: Influence on strain hardening and texture evolution Knezevic, Marko; Levinson, Amanda; Harris, Ryan Acta Materialia, Vol. 58, Issue 19 https://doi.org/10.1016/j.actamat.2010.07.041	journal	November 2010
A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model Ardeljan, Milan; Knezevic, Marko; Nizolek, Thomas International Journal of Plasticity, Vol. 74 https://doi.org/10.1016/j.ijplas.2015.06.003	journal	November 2015
Exploring new links between crystal plasticity models and high-energy X-ray diffraction microscopy Shade, Paul A.; Musinski, William D.; Obstalecki, Mark Current Opinion in Solid State and Materials Science, Vol. 23, Issue 5 https://doi.org/10.1016/j.cossms.2019.07.002	journal	October 2019
Identification of crystal plasticity model parameters by multi-objective optimization integrating microstructural evolution and mechanical data Savage, Daniel J.; Feng, Zhangxi; Knezevic, Marko Computer Methods in Applied Mechanics and Engineering, Vol. 379 https://doi.org/10.1016/j.cma.2021.113747	journal	June 2021
Residual stress. Part 1 – Measurement techniques Withers, P. J.; Bhadeshia, H. K. D. H. Materials Science and Technology, Vol. 17, Issue 4 https://doi.org/10.1179/026708301101509980	journal	April 2001
Three dimensional predictions of grain scale plasticity and grain boundaries using crystal plasticity finite element models Knezevic, Marko; Drach, Borys; Ardeljan, Milan Computer Methods in Applied Mechanics and Engineering, Vol. 277 https://doi.org/10.1016/j.cma.2014.05.003	journal	August 2014
Reversibility in the work hardening of spheroidised steels Wilson, D. V.; Bate, P. S. Acta Metallurgica, Vol. 34, Issue 6 https://doi.org/10.1016/0001-6160(86)90221-X	journal	June 1986
Dual-phase steel sheets under cyclic tension–compression to large strains: Experiments and crystal plasticity modeling Zecevic, Milovan; Korkolis, Yannis P.; Kuwabara, Toshihiko Journal of the Mechanics and Physics of Solids, Vol. 96 https://doi.org/10.1016/j.jmps.2016.07.003	journal	November 2016
A slip system-based kinematic hardening model application to in situ neutron diffraction of cyclic deformation of austenitic stainless steel Wollmershauser, J. A.; Clausen, B.; Agnew, S. R. International Journal of Fatigue, Vol. 36, Issue 1 https://doi.org/10.1016/j.ijfatigue.2011.07.008	journal	March 2012
Influence of temperature and strain rate on slip and twinning behavior of zr Song, S. G.; Gray, G. T. Metallurgical and Materials Transactions A, Vol. 26, Issue 10 https://doi.org/10.1007/BF02669423	journal	October 1995
Predicting deformation behavior of α-uranium during tension, compression, load reversal, rolling, and sheet forming using elasto-plastic, multi-level crystal plasticity coupled with finite elements Barrett, Timothy J.; McCabe, Rodney J.; Brown, Donald W. Journal of the Mechanics and Physics of Solids, Vol. 138 https://doi.org/10.1016/j.jmps.2020.103924	journal	May 2020
Modeling the temperature dependent effect of twinning on the behavior of magnesium alloy AZ31B sheet Jain, A.; Agnew, S. R. Materials Science and Engineering: A, Vol. 462, Issue 1-2 https://doi.org/10.1016/j.msea.2006.03.160	journal	July 2007
Explicit modeling of double twinning in AZ31 using crystal plasticity finite elements for predicting the mechanical fields for twin variant selection and fracture analyses Ardeljan, Milan; Knezevic, Marko Acta Materialia, Vol. 157 https://doi.org/10.1016/j.actamat.2018.07.045	journal	September 2018
Twinning and de-twinning in beryllium during strain path changes Brown, D. W.; Almer, J. D.; Clausen, B. Materials Science and Engineering: A, Vol. 559 https://doi.org/10.1016/j.msea.2012.07.087	journal	January 2013
Stress-assisted (γ→α′) and strain-induced (γ→ε→α′) phase transformation kinetics laws implemented in a crystal plasticity model for predicting strain path sensitive deformation of austenitic steels Feng, Zhangxi; Zecevic, Milovan; Knezevic, Marko International Journal of Plasticity, Vol. 136 https://doi.org/10.1016/j.ijplas.2020.102807	journal	January 2021
Dislocation wall and cell structures and long-range internal stresses in deformed metal crystals Mughrabi, H. Acta Metallurgica, Vol. 31, Issue 9 https://doi.org/10.1016/0001-6160(83)90007-X	journal	September 1983
Deformation twinning Christian, J. W.; Mahajan, S. Progress in Materials Science, Vol. 39, Issue 1-2 https://doi.org/10.1016/0079-6425(94)00007-7	journal	January 1995
Modeling texture, twinning and hardening evolution during deformation of hexagonal materials Proust, G.; Tomé, C. N.; Kaschner, G. C. Acta Materialia, Vol. 55, Issue 6 https://doi.org/10.1016/j.actamat.2006.11.017	journal	April 2007
Explicit incorporation of deformation twins into crystal plasticity finite element models Ardeljan, Milan; McCabe, Rodney J.; Beyerlein, Irene J. Computer Methods in Applied Mechanics and Engineering, Vol. 295 https://doi.org/10.1016/j.cma.2015.07.003	journal	October 2015
Cryogenically cooled bent double-Laue monochromator for high-energy undulator X-rays (50–200 keV) Shastri, S. D.; Fezzaa, K.; Mashayekhi, A. Journal of Synchrotron Radiation, Vol. 9, Issue 5 https://doi.org/10.1107/S0909049502009986	journal	August 2002
SMARTS - a spectrometer for strain measurement in engineering materials Bourke, M. A. M.; Dunand, D. C.; Ustundag, E. Applied Physics A: Materials Science & Processing, Vol. 74, Issue 0 https://doi.org/10.1007/s003390201747	journal	December 2002
A polycrystal plasticity model for predicting mechanical response and texture evolution during strain-path changes: Application to beryllium Knezevic, Marko; Beyerlein, Irene J.; Brown, Donald W. International Journal of Plasticity, Vol. 49 https://doi.org/10.1016/j.ijplas.2013.03.008	journal	October 2013
A crystallographic model for the study of local deformation processes in polycrystals Harder, Jörn International Journal of Plasticity, Vol. 15, Issue 6 https://doi.org/10.1016/S0749-6419(99)00002-9	journal	January 1999
Modeling discrete twin lamellae in a microstructural framework Knezevic, Marko; Daymond, Mark R.; Beyerlein, Irene J. Scripta Materialia, Vol. 121 https://doi.org/10.1016/j.scriptamat.2016.04.026	journal	August 2016
Work-hardening/softening behaviour of b.c.c. polycrystals during changing strain paths: I. An integrated model based on substructure and texture evolution, and its prediction of the stress–strain behaviour of an IF steel during two-stage strain paths Peeters, B.; Seefeldt, M.; Teodosiu, C. Acta Materialia, Vol. 49, Issue 9 https://doi.org/10.1016/S1359-6454(01)00066-0	journal	May 2001
A numerical procedure enabling accurate descriptions of strain rate-sensitive flow of polycrystals within crystal visco-plasticity theory Knezevic, Marko; Zecevic, Miroslav; Beyerlein, Irene J. Computer Methods in Applied Mechanics and Engineering, Vol. 308 https://doi.org/10.1016/j.cma.2016.05.025	journal	August 2016
Self-consistent polycrystal models: a directional compliance criterion to describe grain interactions Tomé, Carlos N. Modelling and Simulation in Materials Science and Engineering, Vol. 7, Issue 5 https://doi.org/10.1088/0965-0393/7/5/305	journal	September 1999
A dislocation density based crystal plasticity finite element model: Application to a two-phase polycrystalline HCP/BCC composites Ardeljan, Milan; Beyerlein, Irene J.; Knezevic, Marko Journal of the Mechanics and Physics of Solids, Vol. 66 https://doi.org/10.1016/j.jmps.2014.01.006	journal	May 2014
Modelling the temperature and texture effects on the deformation mechanisms of magnesium alloy AZ31 Tam, Kenneth J.; Vaughan, Matthew W.; Shen, Luming International Journal of Mechanical Sciences, Vol. 182 https://doi.org/10.1016/j.ijmecsci.2020.105727	journal	September 2020
Predicting intragranular misorientation distributions in polycrystalline metals using the viscoplastic self-consistent formulation Zecevic, Miroslav; Pantleon, Wolfgang; Lebensohn, Ricardo A. Acta Materialia, Vol. 140 https://doi.org/10.1016/j.actamat.2017.08.056	journal	November 2017
A dislocation-based constitutive law for pure Zr including temperature effects Beyerlein, I. J.; Tomé, C. N. International Journal of Plasticity, Vol. 24, Issue 5 https://doi.org/10.1016/j.ijplas.2007.07.017	journal	May 2008
A constitutive model of twinning and detwinning for hexagonal close packed polycrystals Wang, H.; Wu, P. D.; Tomé, C. N. Materials Science and Engineering: A, Vol. 555 https://doi.org/10.1016/j.msea.2012.06.038	journal	October 2012
Advances in Texture Analysis from Diffraction Spectra Matthies, S.; Lutteroti, L.; Wenk, H. R. Journal of Applied Crystallography, Vol. 30, Issue 1 https://doi.org/10.1107/S0021889896006851	journal	February 1997
Rietveld texture analysis from TOF neutron diffraction data Wenk, H. -R.; Lutterotti, L.; Vogel, S. C. Powder Diffraction, Vol. 25, Issue 3 https://doi.org/10.1154/1.3479004	journal	September 2010
A new approach to fluid–structure interaction within graphics hardware accelerated smooth particle hydrodynamics considering heterogeneous particle size distribution Eghtesad, Adnan; Knezevic, Marko Computational Particle Mechanics, Vol. 5, Issue 3 https://doi.org/10.1007/s40571-017-0176-1	journal	December 2017
Simulation of earing during deep drawing of magnesium alloy AZ31 Walde, Tom; Riedel, Hermann Acta Materialia, Vol. 55, Issue 3 https://doi.org/10.1016/j.actamat.2006.09.007	journal	February 2007
Crystal plasticity simulations using discrete Fourier transforms Knezevic, Marko; Al-Harbi, Hamad F.; Kalidindi, Surya R. Acta Materialia, Vol. 57, Issue 6 https://doi.org/10.1016/j.actamat.2008.12.017	journal	April 2009
Mechanical behavior of Mg subjected to strain path changes: Experiments and modeling Wen, W.; Borodachenkova, M.; Tomé, C. N. International Journal of Plasticity, Vol. 73 https://doi.org/10.1016/j.ijplas.2014.10.009	journal	October 2015
Long range internal stresses in single-phase crystalline materials Kassner, M. E.; Geantil, P.; Levine, L. E. International Journal of Plasticity, Vol. 45 https://doi.org/10.1016/j.ijplas.2012.10.003	journal	June 2013
Latent hardening within the elasto-plastic self-consistent polycrystal homogenization to enable the prediction of anisotropy of AA6022-T4 sheets Zecevic, Milovan; Knezevic, Marko International Journal of Plasticity, Vol. 105 https://doi.org/10.1016/j.ijplas.2018.02.007	journal	June 2018
Incorporation of deformation twinning in crystal plasticity models Kalidindi, Surya R. Journal of the Mechanics and Physics of Solids, Vol. 46, Issue 2 https://doi.org/10.1016/S0022-5096(97)00051-3	journal	February 1998
Strain rate and temperature effects on the selection of primary and secondary slip and twinning systems in HCP Zr Knezevic, Marko; Zecevic, Milovan; Beyerlein, Irene J. Acta Materialia, Vol. 88 https://doi.org/10.1016/j.actamat.2015.01.037	journal	April 2015
GSAS-II : the genesis of a modern open-source all purpose crystallography software package Toby, Brian H.; Von Dreele, Robert B. Journal of Applied Crystallography, Vol. 46, Issue 2 https://doi.org/10.1107/S0021889813003531	journal	March 2013
A generalized spherical harmonics-based procedure for the interpolation of partial datasets of orientation distributions to enable crystal mechanics-based simulations Barrett, Timothy J.; Eghtesad, Adnan; McCabe, Rodney J. Materialia, Vol. 6 https://doi.org/10.1016/j.mtla.2019.100328	journal	June 2019
A multiscale simulation framework of the accumulative roll bonding process accounting for texture evolution Prakash, A.; Nöhring, W. G.; Lebensohn, R. A. Materials Science and Engineering: A, Vol. 631 https://doi.org/10.1016/j.msea.2015.02.005	journal	April 2015
Mechanical response, twinning, and texture evolution of WE43 magnesium-rare earth alloy as a function of strain rate: Experiments and multi-level crystal plasticity modeling Feather, William G.; Ghorbanpour, Saeede; Savage, Daniel J. International Journal of Plasticity, Vol. 120 https://doi.org/10.1016/j.ijplas.2019.04.019	journal	September 2019
Effect of Pressure and Strain Rate on the Shear Strength of Beryllium Abey, A. E. Journal of Applied Physics, Vol. 41, Issue 13 https://doi.org/10.1063/1.1658658	journal	December 1970
The plasticity of highly oriented nano-layered Zr/Nb composites Ardeljan, Milan; Savage, Daniel J.; Kumar, Anil Acta Materialia, Vol. 115 https://doi.org/10.1016/j.actamat.2016.05.058	journal	August 2016
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications Roters, F.; Eisenlohr, P.; Hantcherli, L. Acta Materialia, Vol. 58, Issue 4 https://doi.org/10.1016/j.actamat.2009.10.058	journal	February 2010
A study of residual stresses in Zircaloy-2 with rod texture Turner, P. A.; Tomé, C. N. Acta Metallurgica et Materialia, Vol. 42, Issue 12 https://doi.org/10.1016/0956-7151(94)90191-0	journal	December 1994
Graphics processing unit accelerated phase field dislocation dynamics: Application to bi-metallic interfaces Eghtesad, Adnan; Germaschewski, Kai; Beyerlein, Irene J. Advances in Engineering Software, Vol. 115 https://doi.org/10.1016/j.advengsoft.2017.09.010	journal	January 2018
Detwinning of High-Purity Zirconium: In-Situ Neutron Diffraction Experiments Proust, G.; Kaschner, G. C.; Beyerlein, I. J. Experimental Mechanics, Vol. 50, Issue 1 https://doi.org/10.1007/s11340-008-9213-6	journal	December 2008
Elevated Temperature Effects on the Plastic Anisotropy of an Extruded Mg-4 Wt Pct Li Alloy: Experiments and Polycrystal Modeling Risse, Marcel; Lentz, Martin; Fahrenson, Christoph Metallurgical and Materials Transactions A, Vol. 48, Issue 1 https://doi.org/10.1007/s11661-016-3780-4	journal	November 2016
Compact reconstruction of orientation distributions using generalized spherical harmonics to advance large-scale crystal plasticity modeling: Verification using cubic, hexagonal, and orthorhombic polycrystals Eghtesad, Adnan; Barrett, Timothy J.; Knezevic, Marko Acta Materialia, Vol. 155 https://doi.org/10.1016/j.actamat.2018.06.017	journal	August 2018
A Forest Model of Latent Hardening and its Application to Polycrystal Deformations Kocks, U. F.; Franciosi, P.; Kawai, M. Textures and Microstructures, Vol. 14 https://doi.org/10.1155/TSM.14-18.1103	journal	January 1991
An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials Lebensohn, Ricardo A.; Kanjarla, Anand K.; Eisenlohr, Philip International Journal of Plasticity, Vol. 32-33 https://doi.org/10.1016/j.ijplas.2011.12.005	journal	May 2012
Effect of dislocation density-twin interactions on twin growth in AZ31 as revealed by explicit crystal plasticity finite element modeling Ardeljan, Milan; Beyerlein, Irene J.; Knezevic, Marko International Journal of Plasticity, Vol. 99 https://doi.org/10.1016/j.ijplas.2017.09.002	journal	December 2017
Crystallographic texture evolution in bulk deformation processing of FCC metals Kalidindi, S. R.; Bronkhorst, C. A.; Anand, L. Journal of the Mechanics and Physics of Solids, Vol. 40, Issue 3 https://doi.org/10.1016/0022-5096(92)80003-9	journal	January 1992
Experimental characterization and crystal plasticity modeling of anisotropy, tension-compression asymmetry, and texture evolution of additively manufactured Inconel 718 at room and elevated temperatures Ghorbanpour, Saeede; Alam, Md Ershadul; Ferreri, Nicholas C. International Journal of Plasticity, Vol. 125 https://doi.org/10.1016/j.ijplas.2019.09.002	journal	February 2020
A crystal plasticity model incorporating the effects of precipitates in superalloys: Application to tensile, compressive, and cyclic deformation of Inconel 718 Ghorbanpour, Saeede; Zecevic, Milovan; Kumar, Anil International Journal of Plasticity, Vol. 99 https://doi.org/10.1016/j.ijplas.2017.09.006	journal	December 2017
The crystallography and deformation modes of hexagonal close-packed metals Partridge, P. G. International Materials Reviews, Vol. 12, Issue 1 https://doi.org/10.1179/imr.1967.12.1.169	journal	January 1967
A multi-GPU implementation of a full-field crystal plasticity solver for efficient modeling of high-resolution microstructures Eghtesad, Adnan; Germaschewski, Kai; Lebensohn, Ricardo A. Computer Physics Communications, Vol. 254 https://doi.org/10.1016/j.cpc.2020.107231	journal	September 2020
Modelling dynamic recrystallisation in magnesium alloy AZ31 Tam, Kenneth J.; Vaughan, Matthew W.; Shen, Luming International Journal of Plasticity, Vol. 142 https://doi.org/10.1016/j.ijplas.2021.102995	journal	July 2021
Strain rate and temperature sensitive multi-level crystal plasticity model for large plastic deformation behavior: Application to AZ31 magnesium alloy Ardeljan, Milan; Beyerlein, Irene J.; McWilliams, Brandon A. International Journal of Plasticity, Vol. 83 https://doi.org/10.1016/j.ijplas.2016.04.005	journal	August 2016
The determination of the elastic field of an ellipsoidal inclusion, and related problems Eshelby, John Douglas Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396 https://doi.org/10.1098/rspa.1957.0133	journal	August 1957
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
Elastoplasticity of micro-inhomogeneous metals at large strains Lipinski, P.; Berveiller, M. International Journal of Plasticity, Vol. 5, Issue 2 https://doi.org/10.1016/0749-6419(89)90027-2	journal	January 1989
Modeling cyclic plasticity of additively manufactured alloy Mar-M-509 using a high-performance spectral-based micromechanical model Eghtesad, Adnan; Knezevic, Marko Applications in Engineering Science, Vol. 7 https://doi.org/10.1016/j.apples.2021.100065	journal	September 2021
Simulation of the rolling and shear texture of brass by the Taylor theory adapted for mechanical twinning Houtte, P. Van Acta Metallurgica, Vol. 26, Issue 4 https://doi.org/10.1016/0001-6160(78)90111-6	journal	April 1978
Microstructure and texture evolution in Mg/Nb layered materials made by accumulative roll bonding Savage, Daniel J.; Beyerlein, Irene J.; Mara, Nathan A. International Journal of Plasticity, Vol. 125 https://doi.org/10.1016/j.ijplas.2019.08.015	journal	February 2020
An elasto-plastic self-consistent model with hardening based on dislocation density, twinning and de-twinning: Application to strain path changes in HCP metals Zecevic, Milovan; Knezevic, Marko; Beyerlein, Irene J. Materials Science and Engineering: A, Vol. 638 https://doi.org/10.1016/j.msea.2015.04.066	journal	June 2015
Transitioning rate sensitivities across multiple length scales: Microstructure-property relationships in the Taylor cylinder impact test on zirconium Zecevic, Miroslav; Beyerlein, Irene J.; McCabe, Rodney J. International Journal of Plasticity, Vol. 84 https://doi.org/10.1016/j.ijplas.2016.05.005	journal	September 2016
Temperature-rate dependence of the mechanical properties of commercial-grade beryllium Kokovikhin, Yu. I.; Roraanko, P. M.; Lashchuk, N. K. Strength of Materials, Vol. 22, Issue 11 https://doi.org/10.1007/BF00767149	journal	November 1990
The Role of Texture, Temperature and Strain Rate in the Activity of Deformation Twinning Brown, Donald W.; Agnew, Sean R.; Abeln, S. P. Materials Science Forum, Vol. 495-497 https://doi.org/10.4028/www.scientific.net/MSF.495-497.1037	journal	September 2005
Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements Segurado, Javier; Lebensohn, Ricardo A.; LLorca, Javier International Journal of Plasticity, Vol. 28, Issue 1 https://doi.org/10.1016/j.ijplas.2011.07.002	journal	January 2012
Application of a substructure-based hardening model to copper under loading path changes Mahesh, S.; Tomé, C. N.; McCabe, R. J. Metallurgical and Materials Transactions A, Vol. 35, Issue 12 https://doi.org/10.1007/s11661-004-0282-6	journal	December 2004
Modeling of intragranular misorientation and grain fragmentation in polycrystalline materials using the viscoplastic self-consistent formulation Zecevic, Miroslav; Lebensohn, Ricardo A.; McCabe, Rodney J. International Journal of Plasticity, Vol. 109 https://doi.org/10.1016/j.ijplas.2018.06.004	journal	October 2018
Modelling the plastic behaviour of metals under complex loading conditions Rauch, E. F.; Gracio, J. J.; Barlat, F. Modelling and Simulation in Materials Science and Engineering, Vol. 19, Issue 3 https://doi.org/10.1088/0965-0393/19/3/035009	journal	March 2011
OpenMP and MPI implementations of an elasto-viscoplastic fast Fourier transform-based micromechanical solver for fast crystal plasticity modeling Eghtesad, Adnan; Barrett, Timothy J.; Germaschewski, Kai Advances in Engineering Software, Vol. 126 https://doi.org/10.1016/j.advengsoft.2018.09.010	journal	December 2018
A comparative study between elasto-plastic self-consistent crystal plasticity and anisotropic yield function with distortional hardening formulations for sheet metal forming Feng, Zhangxi; Yoon, Seong-Yong; Choi, Jae-Hyun Mechanics of Materials, Vol. 148 https://doi.org/10.1016/j.mechmat.2020.103422	journal	September 2020
On the strength of dislocation interactions and their effect on latent hardening in pure Magnesium Bertin, N.; Tomé, C. N.; Beyerlein, I. J. International Journal of Plasticity, Vol. 62 https://doi.org/10.1016/j.ijplas.2014.06.010	journal	November 2014
Key computational modeling issues in Integrated Computational Materials Engineering Panchal, Jitesh H.; Kalidindi, Surya R.; McDowell, David L. Computer-Aided Design, Vol. 45, Issue 1 https://doi.org/10.1016/j.cad.2012.06.006	journal	January 2013
A crystallographic dislocation model for describing hardening of polycrystals during strain path changes. Application to low carbon steels Kitayama, K.; Tomé, C. N.; Rauch, E. F. International Journal of Plasticity, Vol. 46 https://doi.org/10.1016/j.ijplas.2012.09.004	journal	July 2013
Integration of self-consistent polycrystal plasticity with dislocation density based hardening laws within an implicit finite element framework: Application to low-symmetry metals Knezevic, Marko; McCabe, Rodney J.; Lebensohn, Ricardo A. Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 10 https://doi.org/10.1016/j.jmps.2013.05.005	journal	October 2013
Computationally efficient database and spectral interpolation for fully plastic Taylor-type crystal plasticity calculations of face-centered cubic polycrystals Knezevic, Marko; Kalidindi, Surya R.; Fullwood, David International Journal of Plasticity, Vol. 24, Issue 7 https://doi.org/10.1016/j.ijplas.2007.12.002	journal	July 2008
Slip, twinning, and fracture in hexagonal close-packed metals Yoo, M. H. Metallurgical Transactions A, Vol. 12, Issue 3 https://doi.org/10.1007/BF02648537	journal	March 1981
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 Zecevic, Miroslav; Knezevic, Marko Computer Methods in Applied Mechanics and Engineering, Vol. 341 https://doi.org/10.1016/j.cma.2018.07.027	journal	November 2018
A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31 Feather, William G.; Savage, Daniel J.; Knezevic, Marko International Journal of Plasticity, Vol. 143 https://doi.org/10.1016/j.ijplas.2021.103031	journal	August 2021
Mechanical twinning and detwinning in pure Ti during loading and unloading – An in situ high-energy X-ray diffraction microscopy study Wang, L.; Lind, J.; Phukan, H. Scripta Materialia, Vol. 92 https://doi.org/10.1016/j.scriptamat.2014.08.008	journal	December 2014
A model for texture development dominated by deformation twinning: Application to zirconium alloys Tomé, C. N.; Lebensohn, R. A.; Kocks, U. F. Acta Metallurgica et Materialia, Vol. 39, Issue 11 https://doi.org/10.1016/0956-7151(91)90083-D	journal	November 1991
Kinetics of flow and strain-hardening Mecking, H.; Kocks, U. F. Acta Metallurgica, Vol. 29, Issue 11 https://doi.org/10.1016/0001-6160(81)90112-7	journal	November 1981
An implicit formulation of the elasto-plastic self-consistent polycrystal plasticity model and its implementation in implicit finite elements Zecevic, Milovan; Knezevic, Marko Mechanics of Materials, Vol. 136 https://doi.org/10.1016/j.mechmat.2019.103065	journal	September 2019
Modeling bending of α-titanium with embedded polycrystal plasticity in implicit finite elements Knezevic, Marko; Lebensohn, Ricardo A.; Cazacu, Oana Materials Science and Engineering: A, Vol. 564 https://doi.org/10.1016/j.msea.2012.11.037	journal	March 2013
A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys Lebensohn, R. A.; Tomé, C. N. Acta Metallurgica et Materialia, Vol. 41, Issue 9 https://doi.org/10.1016/0956-7151(93)90130-K	journal	September 1993
Growth Twins and Deformation Twins in Metals Beyerlein, Irene J.; Zhang, Xinghang; Misra, Amit Annual Review of Materials Research, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-matsci-070813-113304	journal	July 2014