A critical discussion of elasto-visco-plastic self-consistent (EVPSC) models

Jeon, Bohye; Jeong, Youngung; Tomé, Carlos N.

doi:10.1016/j.jmrt.2024.11.043

A critical discussion of elasto-visco-plastic self-consistent (EVPSC) models

Journal Article · Wed Nov 06 00:00:00 EST 2024 · Journal of Materials Research and Technology

DOI:https://doi.org/10.1016/j.jmrt.2024.11.043· OSTI ID:2476429

Jeon, Bohye ^[1]; ^[2]; Tomé, Carlos N. ^[3]

Changwon National University (Korea, Republic of); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Changwon National University (Korea, Republic of)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Two recently proposed elasto-visco-plastic self-consistent (EVPSC) models, based on solving for stress or stress increment, are discussed, and their results are compared with the ones of the visco-plastic self-consistent (VPSC) approach. The advantages and shortcomings of the models are demonstrated, with emphasis on how the grain responses are affected by the time increment and inclusion-medium interaction strength used. Experimental data obtained for an FCC stainless steel is used as the benchmark system for performing the simulations and assessing the reliability of the results. Predictions of stress-strain response of the aggregate, standard deviations in intergranular stress and strain rate, along with the evolution of internal lattice strain are presented and compared, with special focus on their dependence on the incremental approach chosen. We find that the chosen time increment may significantly affect predicted grain responses. To avoid such effect a method based on using two separate time increments is proposed, one for approximating the stress rate and another for actual integration of stress, strain, and state variables. The proposed method successfully eliminates the dependence of results on the time increment used, thus allowing more reliable computations while preserving the computational efficiency of the elasto-visco-plastic model.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Ministry of Trade, Industry and Energy (MOTIE); National Research Foundation of Korea (NRF); USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2476429

Alternate ID(s):: OSTI ID: 2481571

Report Number(s):: LA-UR--24-30123

Journal Information:: Journal of Materials Research and Technology, Journal Name: Journal of Materials Research and Technology Vol. 33; ISSN 2238-7854

Publisher:: Brazilian Metallurgical, Materials and Mining AssociationCopyright Statement

Country of Publication:: United States

Language:: English

References (38)

The relation between macroscopic and microscopic strain hardening in F.C.C. polycrystals Tome, C.; Canova, G. R.; Kocks, U. F. Acta Metallurgica, Vol. 32, Issue 10 https://doi.org/10.1016/0001-6160(84)90222-0	journal	October 1984
A self consistent approach of the large deformation polycrystal viscoplasticity Molinari, A.; Canova, G. R.; Ahzi, S. Acta Metallurgica, Vol. 35, Issue 12 https://doi.org/10.1016/0001-6160(87)90297-5	journal	December 1987
Self-consistent modeling of visco-elastic polycrystals: Application to irradiation creep and growth Turner, P. A.; Tomé, C. N. Journal of the Mechanics and Physics of Solids, Vol. 41, Issue 7 https://doi.org/10.1016/0022-5096(93)90090-3	journal	July 1993
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
A selfconsistent formulation for the prediction of the anisotropic behavior of viscoplastic polycrystals with voids Lebensohn, R. A.; Tomé, C. N.; Maudlin, P. J. Journal of the Mechanics and Physics of Solids, Vol. 52, Issue 2 https://doi.org/10.1016/S0022-5096(03)00114-5	journal	February 2004
An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals Masson, R.; Bornert, M.; Suquet, P. Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 6-7 https://doi.org/10.1016/S0022-5096(99)00071-X	journal	June 2000
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
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
Studying the effect of stress relaxation and creep on lattice strain evolution of stainless steel under tension Wang, H.; Clausen, B.; Tomé, C. N. Acta Materialia, Vol. 61, Issue 4 https://doi.org/10.1016/j.actamat.2012.10.027	journal	February 2013
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
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
The nature of yielding and anelasticity in metals Li, Dayong; Wagoner, Robert H. Acta Materialia, Vol. 206 https://doi.org/10.1016/j.actamat.2021.116625	journal	March 2021
Sequential linearization method for viscous/elastic heterogeneous materials Kowalczyk-Gajewska, K.; Petryk, H. European Journal of Mechanics - A/Solids, Vol. 30, Issue 5 https://doi.org/10.1016/j.euromechsol.2011.04.002	journal	September 2011
Texture-based forming limit prediction for Mg sheet alloys ZE10 and AZ31 Steglich, D.; Jeong, Y. International Journal of Mechanical Sciences, Vol. 117 https://doi.org/10.1016/j.ijmecsci.2016.08.013	journal	October 2016
A crystal plasticity finite element analysis on the effect of prestrain on springback Joo, Mooyeong; Wi, Min-Su; Yoon, Seong-Yong International Journal of Mechanical Sciences, Vol. 237 https://doi.org/10.1016/j.ijmecsci.2022.107796	journal	January 2023
Predictions of forming limit diagrams using a rate-dependent polycrystal self-consistent plasticity model Signorelli, J.; Bertinetti, M.; Turner, P. International Journal of Plasticity, Vol. 25, Issue 1 https://doi.org/10.1016/j.ijplas.2008.01.005	journal	January 2009
Crystal plasticity-based forming limit prediction for non-cubic metals: Application to Mg alloy AZ31B John Neil, C.; Agnew, Sean R. International Journal of Plasticity, Vol. 25, Issue 3 https://doi.org/10.1016/j.ijplas.2008.05.003	journal	March 2009
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
A polycrystal plasticity based discontinuous dynamic recrystallization simulation method and its application to copper Zhou, Guowei; Li, Zihan; Li, Dayong International Journal of Plasticity, Vol. 91 https://doi.org/10.1016/j.ijplas.2017.01.001	journal	April 2017
Mechanism-based modeling of thermal and irradiation creep behavior: An application to ferritic/martensitic HT9 steel Wen, W.; Kohnert, A.; Arul Kumar, M. International Journal of Plasticity, Vol. 126 https://doi.org/10.1016/j.ijplas.2019.11.012	journal	March 2020
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
A comprehensive analysis of cermet design and thermal cyclic stability via elasto-viscoplastic crystal plasticity modeling Peterson, Glenn R.; Jeong, Youngung; Tomé, Carlos N. International Journal of Plasticity, Vol. 179 https://doi.org/10.1016/j.ijplas.2024.104032	journal	August 2024
Direct application of elasto-visco-plastic self-consistent crystal plasticity model to U-draw bending and springback of dual-phase high strength steel Jeon, Bohye; Lee, Shin-Yeong; Lee, Jinwoo International Journal of Plasticity, Vol. 181 https://doi.org/10.1016/j.ijplas.2024.104098	journal	October 2024
New robust self-consistent homogenization schemes of elasto-viscoplastic polycrystals Zecevic, Miroslav; Lebensohn, Ricardo A. International Journal of Solids and Structures, Vol. 202 https://doi.org/10.1016/j.ijsolstr.2020.05.032	journal	October 2020
On the evolution and modelling of Cube texture during dynamic recrystallisation of Ni–30Fe–Nb–C model alloy Saleh, Ahmed A.; Mannan, Parvez; Tomé, Carlos N. Journal of Alloys and Compounds, Vol. 748 https://doi.org/10.1016/j.jallcom.2018.03.031	journal	June 2018
Finite element analysis using elasto-visco-plastic self-consistent polycrystal model for E-form Mg sheet subjected to bending Jeon, Bohye; Kim, Min-Seong; Choi, Shi-Hoon Journal of Magnesium and Alloys, Vol. 11, Issue 4 https://doi.org/10.1016/j.jma.2022.10.017	journal	April 2023
Crystal plasticity finite element simulations on extruded Mg-10Gd rod with texture gradient Lee, Jaeseong; Steglich, Dirk; Jeong, Youngung Journal of Magnesium and Alloys, Vol. 12, Issue 8 https://doi.org/10.1016/j.jma.2024.08.009	journal	August 2024
A finite strain elastic–viscoplastic self-consistent model for polycrystalline materials Wang, H.; Wu, P. D.; Tomé, C. N. Journal of the Mechanics and Physics of Solids, Vol. 58, Issue 4 https://doi.org/10.1016/j.jmps.2010.01.004	journal	April 2010
Thermal ratcheting of uranium simulated with a thermo-elasto-visco-plastic self-consistent polycrystal model Jeong, Youngung; Tomé, Carlos N. Journal of Nuclear Materials, Vol. 597 https://doi.org/10.1016/j.jnucmat.2024.155159	journal	August 2024
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
Modeling dynamic recrystallization of olivine aggregates deformed in simple shear Wenk, H. -R.; Tomé, C. N. Journal of Geophysical Research: Solid Earth, Vol. 104, Issue B11 https://doi.org/10.1029/1999JB900261	journal	November 1999
Self-consistent modelling of nonlinear visco-elastic polycrystals: An approximate scheme Turner, P. A.; Tomé, C. N.; Woo, C. H. Philosophical Magazine A, Vol. 70, Issue 4 https://doi.org/10.1080/01418619408242256	journal	October 1994
Comparison of different homogenization approaches for elastic–viscoplastic materials Mercier, S.; Molinari, A.; Berbenni, S. Modelling and Simulation in Materials Science and Engineering, Vol. 20, Issue 2 https://doi.org/10.1088/0965-0393/20/2/024004	journal	February 2012
Forming limit prediction using a self-consistent crystal plasticity framework: a case study for body-centered cubic materials Jeong, Youngung; Pham, Minh-Son; Iadicola, Mark Modelling and Simulation in Materials Science and Engineering, Vol. 24, Issue 5 https://doi.org/10.1088/0965-0393/24/5/055005	journal	May 2016
Extension of the visco-plastic self-consistent model to account for elasto-visco-plastic behavior using a perturbed visco-plastic approach Jeong, Youngung; Tomé, Carlos N. Modelling and Simulation in Materials Science and Engineering, Vol. 27, Issue 8 https://doi.org/10.1088/1361-651X/ab4b66	journal	October 2019
A dislocation density-based crystal plasticity constitutive model: comparison of VPSC effective medium predictions with ρ-CP finite element predictions Patra, Anirban; Tomé, Carlos N. Modelling and Simulation in Materials Science and Engineering, Vol. 32, Issue 4 https://doi.org/10.1088/1361-651X/ad3e99	journal	April 2024
Bounds and Self-Consistent Estimates for Creep of Polycrystalline Materials Hutchinson, J. W. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 348, Issue 1652 https://doi.org/10.1098/rspa.1976.0027	journal	February 1976
Averaging Models for Heterogeneous Viscoplastic and Elastic Viscoplastic Materials Molinari, Alain Journal of Engineering Materials and Technology, Vol. 124, Issue 1 https://doi.org/10.1115/1.1421052	journal	June 2001

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A critical discussion of elasto-visco-plastic self-consistent (EVPSC) models

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