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Title: A sensitivity analysis of twinning crystal plasticity finite element model using single crystal and poly crystal Zircaloy

Abstract

The popularity of crystal plasticity finite element method (CPFEM) models is increasing due to their ability to predict the mechanical response of crystalline materials such as metals and metal alloys more accurately than traditional continuum mechanics models. This is since the crystal plasticity models consider the effect of atomic structure, microstructural morphology, and properties of individual grains. These CPFEM models use a large number of material parameters in order to capture the mesoscale physics which comes with the downside of the tedious calibration process. In this paper, a CPFEM code was developed to include the twinning induced grain reorientation and subsequent crystallographic slip for HPC material. The developed code is incorporated in a large-scale, parallelized nonlinear solver WARP3D. Further, a sensitivity analysis with respect to 22 material parameters was then conducted using single crystal and polycrystal representative volume element (RVE) of Zircaloy material. Loading was applied along five different crystallographic orientations for single crystal RVE and along three directions namely, rolling (RD), transverse (TD), and normal (ND) direction for polycrystal RVE. Results obtained from the sensitivity analysis were used for the calibration of material parameters for Zircaloy. Finally, developed code along with calibrated material parameters was used to investigate themore » effect of the hydride phase formation in Zircaloy which is a typical case observed for nuclear applications. It was found that the volume fraction of the hydride phase has a significant impact on the mechanical properties of Zircaloy.« less

Authors:
 [1];  [2];  [2]; ORCiD logo [2]
  1. Pacific Northwest National Laboratory (PNNL), Richland, WA (United States); Univ. of Tennessee, Knoxville, TN (United States)
  2. Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Publication Date:
Research Org.:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
2204886
Report Number(s):
PNNL-SA-179404
Journal ID: ISSN 0927-0256
Grant/Contract Number:  
AC05-76RL01830
Resource Type:
Accepted Manuscript
Journal Name:
Computational Materials Science
Additional Journal Information:
Journal Volume: 230; Journal ID: ISSN 0927-0256
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; crystal plasticity; finite element analysis; CPFEM; twinning; Zircaloy; hydrides; sensitivity analysis; WARP3D

Citation Formats

Kulkarni, Shank S., Venkatraman, Aditya, Senor, David J., and Devanathan, Ram. A sensitivity analysis of twinning crystal plasticity finite element model using single crystal and poly crystal Zircaloy. United States: N. p., 2023. Web. doi:10.1016/j.commatsci.2023.112425.
Kulkarni, Shank S., Venkatraman, Aditya, Senor, David J., & Devanathan, Ram. A sensitivity analysis of twinning crystal plasticity finite element model using single crystal and poly crystal Zircaloy. United States. https://doi.org/10.1016/j.commatsci.2023.112425
Kulkarni, Shank S., Venkatraman, Aditya, Senor, David J., and Devanathan, Ram. Thu . "A sensitivity analysis of twinning crystal plasticity finite element model using single crystal and poly crystal Zircaloy". United States. https://doi.org/10.1016/j.commatsci.2023.112425.
@article{osti_2204886,
title = {A sensitivity analysis of twinning crystal plasticity finite element model using single crystal and poly crystal Zircaloy},
author = {Kulkarni, Shank S. and Venkatraman, Aditya and Senor, David J. and Devanathan, Ram},
abstractNote = {The popularity of crystal plasticity finite element method (CPFEM) models is increasing due to their ability to predict the mechanical response of crystalline materials such as metals and metal alloys more accurately than traditional continuum mechanics models. This is since the crystal plasticity models consider the effect of atomic structure, microstructural morphology, and properties of individual grains. These CPFEM models use a large number of material parameters in order to capture the mesoscale physics which comes with the downside of the tedious calibration process. In this paper, a CPFEM code was developed to include the twinning induced grain reorientation and subsequent crystallographic slip for HPC material. The developed code is incorporated in a large-scale, parallelized nonlinear solver WARP3D. Further, a sensitivity analysis with respect to 22 material parameters was then conducted using single crystal and polycrystal representative volume element (RVE) of Zircaloy material. Loading was applied along five different crystallographic orientations for single crystal RVE and along three directions namely, rolling (RD), transverse (TD), and normal (ND) direction for polycrystal RVE. Results obtained from the sensitivity analysis were used for the calibration of material parameters for Zircaloy. Finally, developed code along with calibrated material parameters was used to investigate the effect of the hydride phase formation in Zircaloy which is a typical case observed for nuclear applications. It was found that the volume fraction of the hydride phase has a significant impact on the mechanical properties of Zircaloy.},
doi = {10.1016/j.commatsci.2023.112425},
journal = {Computational Materials Science},
number = ,
volume = 230,
place = {United States},
year = {Thu Aug 24 00:00:00 EDT 2023},
month = {Thu Aug 24 00:00:00 EDT 2023}
}

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Works referenced in this record:

Influence of critical resolved shear stress ratios on the response of a commercially pure titanium oligocrystal: crystal plasticity simulations and experiment
journal, April 2019


The development and applications of zirconium alloys
journal, April 1985


Multiscale modeling of twinning and detwinning behavior of HCP polycrystals
journal, April 2020

  • Yaghoobi, Mohammadreza; Allison, John E.; Sundararaghavan, Veera
  • International Journal of Plasticity, Vol. 127
  • DOI: 10.1016/j.ijplas.2019.102653

A microstructure-based modeling approach to predict the mechanical properties of Zr alloy with hydride precipitates
journal, September 2021


A peridynamic implementation of crystal plasticity
journal, October 2014


Incorporation of deformation twinning in crystal plasticity models
journal, February 1998


Yielding of magnesium: From single crystal to polycrystalline aggregates
journal, December 2007


Crystal plasticity finite element modeling of discrete twin evolution in polycrystalline magnesium
journal, February 2017


Peridynamic Theory of Solid Mechanics
book, September 2010


A numerical study into element type and mesh resolution for crystal plasticity finite element modeling of explicit grain structures
journal, September 2020


Consistent crystal plasticity kinematics and linearization for the implicit finite element method
journal, August 2015

  • Messner, Mark; Beaudoin, Armand; Dodds, Robert
  • Engineering Computations, Vol. 32, Issue 6
  • DOI: 10.1108/EC-05-2014-0107

Material characterisation and finite element modelling of cyclic plasticity behaviour for 304 stainless steel using a crystal plasticity model
journal, January 2016


Zirconium alloys for supercritical water reactor applications: Challenges and possibilities
journal, September 2007

  • Motta, Arthur T.; Yilmazbayhan, Aylin; da Silva, Marcelo J. Gomes
  • Journal of Nuclear Materials, Vol. 371, Issue 1-3
  • DOI: 10.1016/j.jnucmat.2007.05.022

A finite element methodology to incorporate kinematic activation of discrete deformation twins in a crystal plasticity framework
journal, January 2020

  • Kasemer, Matthew; Dawson, Paul
  • Computer Methods in Applied Mechanics and Engineering, Vol. 358
  • DOI: 10.1016/j.cma.2019.112653

Analysis of the cup-cone fracture in a round tensile bar
journal, January 1984


DREAM.3D: A Digital Representation Environment for the Analysis of Microstructure in 3D
journal, April 2014

  • Groeber, Michael A.; Jackson, Michael A.
  • Integrating Materials and Manufacturing Innovation, Vol. 3, Issue 1
  • DOI: 10.1186/2193-9772-3-5

Measured resolved shear stresses and Bishop-Hill stress states in individual grains of austenitic stainless steel
journal, December 2017


Deformation behavior upon two-step loading in a magnesium alloy sheet
journal, July 2016


Crystal plasticity behavior of single-crystal pure magnesium under plane-strain compression
journal, February 2017


Discrete twin evolution in Mg alloys using a novel crystal plasticity finite element model
journal, May 2018


Effect of dislocation density-twin interactions on twin growth in AZ31 as revealed by explicit crystal plasticity finite element modeling
journal, December 2017


Grain-scale experimental validation of crystal plasticity finite element simulations of tantalum oligocrystals
journal, September 2014


Three-dimensional crystal plasticity simulations using peridynamics theory and experimental comparison
journal, July 2021


Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing
journal, April 2011

  • Quey, R.; Dawson, P. R.; Barbe, F.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 200, Issue 17-20
  • DOI: 10.1016/j.cma.2011.01.002

Texture predictions using a polycrystal plasticity model incorporating neighbor interactions
journal, January 1996


Deformation twinning and detwinning in extruded Mg-4Al: In-situ experiment and crystal plasticity simulation
journal, August 2022

  • Yaghoobi, Mohammadreza; Chen, Zhe; Murphy-Leonard, Aeriel D.
  • International Journal of Plasticity, Vol. 155
  • DOI: 10.1016/j.ijplas.2022.103345

Strain rate and temperature sensitive multi-level crystal plasticity model for large plastic deformation behavior: Application to AZ31 magnesium alloy
journal, August 2016

  • Ardeljan, Milan; Beyerlein, Irene J.; McWilliams, Brandon A.
  • International Journal of Plasticity, Vol. 83
  • DOI: 10.1016/j.ijplas.2016.04.005

Development of internal strains in textured Zircaloy-2 during uni-axial deformation
journal, August 2008


Overview no. 42 Texture development and strain hardening in rate dependent polycrystals
journal, June 1985


Hydrogen in zirconium alloys: A review
journal, May 2019


Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf
journal, July 1964


PRISMS-Plasticity: An open-source crystal plasticity finite element software
journal, November 2019


Modeling lattice strain evolution during uniaxial deformation of textured Zircaloy-2
journal, August 2008


MOOSE: Enabling massively parallel multiphysics simulation
journal, January 2020


Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
journal, September 2009

  • Geuzaine, Christophe; Remacle, Jean-François
  • International Journal for Numerical Methods in Engineering, Vol. 79, Issue 11
  • DOI: 10.1002/nme.2579

Strain hardening due to deformation twinning in α-titanium: Constitutive relations and crystal-plasticity modeling
journal, July 2005


Three dimensional predictions of grain scale plasticity and grain boundaries using crystal plasticity finite element models
journal, August 2014

  • Knezevic, Marko; Drach, Borys; Ardeljan, Milan
  • Computer Methods in Applied Mechanics and Engineering, Vol. 277
  • DOI: 10.1016/j.cma.2014.05.003

Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B
journal, June 2005


Combined crystal plasticity and grain boundary modeling of creep in ferritic-martensitic steels: I. Theory and implementation
journal, August 2019

  • Nassif, Omar; Truster, Timothy J.; Ma, Ran
  • Modelling and Simulation in Materials Science and Engineering, Vol. 27, Issue 7
  • DOI: 10.1088/1361-651X/ab359c

Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity
journal, April 2005


Investigating mesh sensitivity and polycrystalline RVEs in crystal plasticity finite element simulations
journal, October 2019


Computational homogenization analysis in finite plasticity Simulation of texture development in polycrystalline materials
journal, April 1999

  • Miehe, Christian; Schröder, Jörg; Schotte, Jan
  • Computer Methods in Applied Mechanics and Engineering, Vol. 171, Issue 3-4
  • DOI: 10.1016/S0045-7825(98)00218-7

Incorporation of twinning into a crystal plasticity finite element model: Evolution of lattice strains and texture in Zircaloy-2
journal, November 2011

  • Abdolvand, Hamidreza; Daymond, Mark R.; Mareau, Charles
  • International Journal of Plasticity, Vol. 27, Issue 11
  • DOI: 10.1016/j.ijplas.2011.04.005

An ordinary state based peridynamic correspondence model for metal creep
journal, June 2020


Microstructure based modeling of friction stir welded joint of dissimilar metals using crystal plasticity
journal, May 2021

  • Kulkarni, Shank; Truster, Timothy; Das, Hrishikesh
  • Journal of Manufacturing Science and Engineering
  • DOI: 10.1115/1.4051190

Explicit incorporation of deformation twins into crystal plasticity finite element models
journal, October 2015

  • Ardeljan, Milan; McCabe, Rodney J.; Beyerlein, Irene J.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 295
  • DOI: 10.1016/j.cma.2015.07.003

Effect of hydrogen contents on the mechanical properties of Zircaloy-4
journal, January 1994


Deformation and texture evolution in AZ31 magnesium alloy during uniaxial loading
journal, January 2006


A dislocation-based multi-rate single crystal plasticity model
journal, May 2013


Effect of Plane Strain Compression and Subsequent Recrystallization Annealing on Microstructures and Phase Transformation of NiTiFe Shape Memory Alloy
journal, August 2018

  • Liang, Yulong; Jiang, Shuyong; Zhang, Yanqiu
  • Journal of Materials Engineering and Performance, Vol. 27, Issue 9
  • DOI: 10.1007/s11665-018-3541-1

Effects of hydrogen contents on the mechanical properties of Zircaloy-4 sheets
journal, April 2016

  • Tung, Hsiao-Ming; Chen, Tai-Cheng; Tseng, Che-Chung
  • Materials Science and Engineering: A, Vol. 659
  • DOI: 10.1016/j.msea.2016.02.051

Modeling texture evolution during uni-axial deformation of Zircaloy-2
journal, October 2009


Materials challenges for nuclear systems
journal, December 2010


A constitutive model for hcp materials deforming by slip and twinning
journal, October 2003


Crystal plasticity model of residual stress in additive manufacturing using the element elimination and reactivation method
journal, November 2021