Simulated effects of sample size and grain neighborhood on the modeling of extreme value fatigue response
Abstract
Assessing the size of representative volume elements (RVEs) for fatigue-related applications is challenging. A RVE relevant to random microstructure requires a volume of material that is sufficiently large to capture the grain/phase heterogeneity that captures all statistical moments of the distribution of the driving force for fatigue crack formation at “hot spot” grains. Consequently, the large size of a microstructure RVE required to study fatigue phenomena is largely computationally intractable and difficult to explore. A more realistic objective in this work is to systematically study, as a function of the size of a statistical sample of microstructure, trends towards convergence of the simulated distribution of driving force for fatigue crack formation. Our present work accordingly leverages the recently developed open-source PRISMS-Fatigue framework to examine the trends in convergence of extreme value distributions (EVD) of Fatigue Indicator Parameters (FIPs) in progressively larger polycrystalline microstructure realizations of FCC Al alloy 7075-T6 using crystal plasticity finite element method simulations. The results are compared to the traditional method in which ensembles of statistical volume elements (SVEs) are simulated to build up statistics intended to approximate those associated with a larger volume of material. The convergence of EVDs with increase of size of a SVEmore »
- Authors:
-
- Georgia Institute of Technology, Atlanta, GA (United States)
- University of Michigan, Ann Arbor, MI (United States)
- Publication Date:
- Research Org.:
- Univ. of Michigan, Ann Arbor, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); US Department of the Navy, Office of Naval Research (ONR); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1976779
- Alternate Identifier(s):
- OSTI ID: 1834241
- Grant/Contract Number:
- SC0008637; N00014-18-1-2784; ACI-1548562; -SC0008637
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Acta Materialia
- Additional Journal Information:
- Journal Volume: 224; Journal Issue: C; Journal ID: ISSN 1359-6454
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 42 ENGINEERING; fatigue; crystal plasticity; microstructure-sensitive; computational modeling; finite element method; extreme value statistics
Citation Formats
Stopka, Krzysztof S., Yaghoobi, Mohammadreza, Allison, John E., and McDowell, David L. Simulated effects of sample size and grain neighborhood on the modeling of extreme value fatigue response. United States: N. p., 2021.
Web. doi:10.1016/j.actamat.2021.117524.
Stopka, Krzysztof S., Yaghoobi, Mohammadreza, Allison, John E., & McDowell, David L. Simulated effects of sample size and grain neighborhood on the modeling of extreme value fatigue response. United States. https://doi.org/10.1016/j.actamat.2021.117524
Stopka, Krzysztof S., Yaghoobi, Mohammadreza, Allison, John E., and McDowell, David L. Sat .
"Simulated effects of sample size and grain neighborhood on the modeling of extreme value fatigue response". United States. https://doi.org/10.1016/j.actamat.2021.117524. https://www.osti.gov/servlets/purl/1976779.
@article{osti_1976779,
title = {Simulated effects of sample size and grain neighborhood on the modeling of extreme value fatigue response},
author = {Stopka, Krzysztof S. and Yaghoobi, Mohammadreza and Allison, John E. and McDowell, David L.},
abstractNote = {Assessing the size of representative volume elements (RVEs) for fatigue-related applications is challenging. A RVE relevant to random microstructure requires a volume of material that is sufficiently large to capture the grain/phase heterogeneity that captures all statistical moments of the distribution of the driving force for fatigue crack formation at “hot spot” grains. Consequently, the large size of a microstructure RVE required to study fatigue phenomena is largely computationally intractable and difficult to explore. A more realistic objective in this work is to systematically study, as a function of the size of a statistical sample of microstructure, trends towards convergence of the simulated distribution of driving force for fatigue crack formation. Our present work accordingly leverages the recently developed open-source PRISMS-Fatigue framework to examine the trends in convergence of extreme value distributions (EVD) of Fatigue Indicator Parameters (FIPs) in progressively larger polycrystalline microstructure realizations of FCC Al alloy 7075-T6 using crystal plasticity finite element method simulations. The results are compared to the traditional method in which ensembles of statistical volume elements (SVEs) are simulated to build up statistics intended to approximate those associated with a larger volume of material. The convergence of EVDs with increase of size of a SVE of microstructure is closely related to the extent of grain nearest neighbor (NN) interactions. Accordingly, the sensitivity of the local micromechanical response at hot spot grains is quantitatively investigated by systematically varying the orientations of NN grains. Results indicate that SVEs with cubic crystallographic texture tend towards convergence of the EVD of FIPs with tens of thousands of grains while the random and rolled textures require larger volumes. Simple relationships based on microstructure parameters (e.g., Schmid Factor, grain size, NN misorientation) do not completely correlate to fatigue hot spot grains. Finally, the sensitivity of the extreme value fatigue response at hot spot grains extends to the 3rd NN when a single neighborhood grain orientation is altered.},
doi = {10.1016/j.actamat.2021.117524},
journal = {Acta Materialia},
number = C,
volume = 224,
place = {United States},
year = {Sat Nov 27 00:00:00 EST 2021},
month = {Sat Nov 27 00:00:00 EST 2021}
}
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Works referenced in this record:
A Critical Plane Approach to Multiaxial Fatigue Damage Including Out-Of-Phase Loading
journal, March 1988
- Fatemi, Ali; Socie, Darrell F.
- Fatigue & Fracture of Engineering Materials and Structures, Vol. 11, Issue 3
A complete grain-level assessment of the stress-strain evolution and associated deformation response in polycrystalline alloys
journal, December 2020
- Sangid, Michael D.; Rotella, John; Naragani, Diwakar
- Acta Materialia, Vol. 201
Data-driven reduced-order models for rank-ordering the high cycle fatigue performance of polycrystalline microstructures
journal, September 2018
- Paulson, Noah H.; Priddy, Matthew W.; McDowell, David L.
- Materials & Design, Vol. 154
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
Effects of algorithmic simulation parameters on the prediction of extreme value fatigue indicator parameters in duplex Ti-6Al-4V
journal, December 2020
- Stopka, Krzysztof S.; Gu, Tang; McDowell, David L.
- International Journal of Fatigue, Vol. 141
Microstructure-sensitive extreme-value probabilities of high-cycle fatigue for surface vs. subsurface crack formation in duplex Ti–6Al–4V
journal, January 2012
- Przybyla, C. P.; McDowell, D. L.
- Acta Materialia, Vol. 60, Issue 1
Microstructure-sensitive computational modeling of fatigue crack formation
journal, September 2010
- McDowell, D. L.; Dunne, F. P. E.
- International Journal of Fatigue, Vol. 32, Issue 9
Microstructure-Sensitive Computational Estimates of Driving Forces for Surface Versus Subsurface Fatigue Crack Formation in Duplex Ti-6Al-4V and Al 7075-T6
journal, September 2019
- Stopka, Krzysztof S.; McDowell, David L.
- JOM, Vol. 72, Issue 1
An upscaling approach for micromechanics based fatigue: from RVEs to specimens and component life prediction
journal, December 2019
- Lucarini, Sergio; Segurado, Javier
- International Journal of Fracture, Vol. 223, Issue 1-2
Generation of 3D representative volume elements for heterogeneous materials: A review
journal, July 2018
- Bargmann, Swantje; Klusemann, Benjamin; Markmann, Jürgen
- Progress in Materials Science, Vol. 96
A geometric approach to modeling microstructurally small fatigue crack formation: I. Probabilistic simulation of constituent particle cracking in AA 7075-T651
journal, August 2008
- Bozek, J. E.; Hochhalter, J. D.; Veilleux, M. G.
- Modelling and Simulation in Materials Science and Engineering, Vol. 16, Issue 6
Failure of metals II: Fatigue
journal, April 2016
- Pineau, André; McDowell, David L.; Busso, Esteban P.
- Acta Materialia, Vol. 107
Sensitivity of polycrystal plasticity to slip system kinematic hardening laws for Al 7075-T6
journal, February 2017
- Hennessey, Conor; Castelluccio, Gustavo M.; McDowell, David L.
- Materials Science and Engineering: A, Vol. 687
Is stored energy density the primary meso-scale mechanistic driver for fatigue crack nucleation?
journal, February 2018
- Chen, Bo; Jiang, Jun; Dunne, Fionn P. E.
- International Journal of Plasticity, Vol. 101
The Materials Commons: A Collaboration Platform and Information Repository for the Global Materials Community
journal, July 2016
- Puchala, Brian; Tarcea, Glenn; Marquis, Emmanuelle. A.
- JOM, Vol. 68, Issue 8
Crystal plasticity assessment of inclusion- and matrix-driven competing failure modes in a nickel-base superalloy
journal, September 2019
- Bandyopadhyay, Ritwik; Sangid, Michael D.
- Acta Materialia, Vol. 177
Effects of Boundary Conditions on Microstructure-Sensitive Fatigue Crystal Plasticity Analysis
journal, June 2021
- Stopka, Krzysztof S.; Yaghoobi, Mohammadreza; Allison, John E.
- Integrating Materials and Manufacturing Innovation, Vol. 10, Issue 3
Investigation of fatigue crack initiation from a non-metallic inclusion via high energy x-ray diffraction microscopy
journal, September 2017
- Naragani, Diwakar; Sangid, Michael D.; Shade, Paul A.
- Acta Materialia, Vol. 137
Assessment of small fatigue crack growth driving forces in single crystals with and without slip bands
journal, June 2012
- Castelluccio, Gustavo M.; McDowell, David L.
- International Journal of Fracture, Vol. 176, Issue 1
A Probabilistic Fatigue Framework to Enable Location-Specific Lifing for Critical Thermo-mechanical Engineering Applications
journal, January 2021
- Bandyopadhyay, Ritwik; Sangid, Michael D.
- Integrating Materials and Manufacturing Innovation, Vol. 10, Issue 1
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
Crystal plasticity modeling of microstructure influence on fatigue crack initiation in extruded Al6082-T6 with surface irregularities
journal, June 2018
- Hallberg, Håkan; Ås, Sigmund Kyrre; Skallerud, Bjørn
- International Journal of Fatigue, Vol. 111
Effect of 3D Representative Volume Element (RVE) Thickness on Stress and Strain Partitioning in Crystal Plasticity Simulations of Multi-Phase Materials
journal, October 2020
- Qayyum, Faisal; Chaudhry, Aqeel Afzal; Guk, Sergey
- Crystals, Vol. 10, Issue 10
Lengthscale-dependent, elastically anisotropic, physically-based hcp crystal plasticity: Application to cold-dwell fatigue in Ti alloys
journal, June 2007
- Dunne, F. P. E.; Rugg, D.; Walker, A.
- International Journal of Plasticity, Vol. 23, Issue 6
On the mechanisms of fatigue facet nucleation in titanium alloys
journal, November 2008
- Dunne, F. P. E.; Rugg, D.
- Fatigue & Fracture of Engineering Materials & Structures, Vol. 31, Issue 11
Strong grain neighbour effects in polycrystals
journal, January 2018
- Abdolvand, Hamidreza; Wright, Jonathan; Wilkinson, Angus J.
- Nature Communications, Vol. 9, Issue 1
Quantitative evaluation of slip activity in polycrystalline α-titanium considering non-local interactions between crystal grains
journal, April 2020
- Kawano, Yoshiki; Sato, Michihiro; Mayama, Tsuyoshi
- International Journal of Plasticity, Vol. 127
A geometric approach to modeling microstructurally small fatigue crack formation: II. Physically based modeling of microstructure-dependent slip localization and actuation of the crack nucleation mechanism in AA 7075-T651
journal, March 2010
- Hochhalter, J. D.; Littlewood, D. J.; Christ, R. J.
- Modelling and Simulation in Materials Science and Engineering, Vol. 18, Issue 4
Microstructure and mesh sensitivities of mesoscale surrogate driving force measures for transgranular fatigue cracks in polycrystals
journal, July 2015
- Castelluccio, Gustavo M.; McDowell, David L.
- Materials Science and Engineering: A, Vol. 639
Fatigue hot spot simulation for two Widmanstätten titanium microstructures
journal, November 2016
- Smith, Benjamin D.; Shih, Donald S.; McDowell, David L.
- International Journal of Fatigue, Vol. 92
Deformation microstructure and orientation of f.c.c. crystals
journal, May 1995
- Liu, Q.; Hansen, N.
- Physica Status Solidi (a), Vol. 149, Issue 1
ICME Approach to Determining Critical Pore Size of IN718 Produced by Selective Laser Melting
journal, November 2019
- Sangid, Michael D.; Ravi, Priya; Prithivirajan, Veerappan
- JOM, Vol. 72, Issue 1
PRISMS-Plasticity: An open-source crystal plasticity finite element software
journal, November 2019
- Yaghoobi, Mohammadreza; Ganesan, Sriram; Sundar, Srihari
- Computational Materials Science, Vol. 169
Mesoscale modeling of microstructurally small fatigue cracks in metallic polycrystals
journal, March 2014
- Castelluccio, Gustavo M.; McDowell, David L.
- Materials Science and Engineering: A, Vol. 598
Strain-gradient modelling of grain size effects on fatigue of CoCr alloy
journal, October 2014
- Sweeney, C. A.; O’Brien, B.; Dunne, F. P. E.
- Acta Materialia, Vol. 78
Determination of the size of the representative volume element for random composites: statistical and numerical approach
journal, June 2003
- Kanit, T.; Forest, S.; Galliet, I.
- International Journal of Solids and Structures, Vol. 40, Issue 13-14
Prediction of maximum fatigue indicator parameters for duplex Ti–6Al–4V using extreme value theory
journal, April 2020
- Gu, Tang; Stopka, Krzysztof S.; Xu, Chuan
- Acta Materialia, Vol. 188
On the accuracy of spectral solvers for micromechanics based fatigue modeling
journal, July 2018
- Lucarini, S.; Segurado, J.
- Computational Mechanics, Vol. 63, Issue 2
Investigating mesh sensitivity and polycrystalline RVEs in crystal plasticity finite element simulations
journal, October 2019
- Lim, Hojun; Battaile, Corbett C.; Bishop, Joseph E.
- International Journal of Plasticity, Vol. 121
Microstructure-sensitive computational multiaxial fatigue of Al 7075-T6 and duplex Ti-6Al-4V
journal, April 2020
- Stopka, Krzysztof S.; McDowell, David L.
- International Journal of Fatigue, Vol. 133
Orientation Imaging Microscopy of fatigue crack formation in Waspaloy: Crystallographic conditions for crack nucleation
journal, March 2010
- Oja, M.; Ravi Chandran, K. S.; Tryon, R. G.
- International Journal of Fatigue, Vol. 32, Issue 3
A geometric approach to modeling microstructurally small fatigue crack formation: III. Development of a semi-empirical model for nucleation
journal, March 2011
- Hochhalter, J. D.; Littlewood, D. J.; Veilleux, M. G.
- Modelling and Simulation in Materials Science and Engineering, Vol. 19, Issue 3
Prediction of Stochastic Endurance Strength
journal, January 1987
- Mischke, C. R.
- Journal of Vibration and Acoustics, Vol. 109, Issue 1
Fatigue of 7075-T651 aluminum alloy
journal, May 2008
- Zhao, T.; Jiang, Y.
- International Journal of Fatigue, Vol. 30, Issue 5
Influence of local crystallographic configuration on microcrack initiation in fatigued 316LN stainless steel: Experiments and crystal plasticity finite elements simulations
journal, January 2016
- Signor, L.; Villechaise, P.; Ghidossi, T.
- Materials Science and Engineering: A, Vol. 649
Elastic properties of reinforced solids: Some theoretical principles
journal, September 1963
- Hill, R.
- Journal of the Mechanics and Physics of Solids, Vol. 11, Issue 5
A statistical study of the relationship between plastic strain and lattice misorientation on the surface of a deformed Ni-based superalloy
journal, August 2020
- Harte, A.; Atkinson, M.; Preuss, M.
- Acta Materialia, Vol. 195
Determination of the RVE size for polycrystal metals to predict monotonic and cyclic elastoplastic behavior: Statistical and numerical approach with new criteria
journal, November 2018
- Bouchedjra, Moussa; Kanit, Toufik; Boulemia, Cherif
- European Journal of Mechanics - A/Solids, Vol. 72
An RVE procedure for micromechanical prediction of mechanical behavior of dual-phase steel
journal, May 2017
- Bong, Hyuk Jong; Lim, Hojun; Lee, Myoung-Gyu
- Materials Science and Engineering: A, Vol. 695
Effect of the 3rd Dimension within the Representative Volume Element (RVE) on Damage Initiation and Propagation during Full-Phase Numerical Simulations of Single and Multi-Phase Steels
journal, December 2020
- Qayyum, Faisal; Umar, Muhammad; Guk, Sergey
- Materials, Vol. 14, Issue 1
Statistical aspects of grain-level strain evolution and reorientation during the heating and elastic-plastic loading of a Ni-base superalloy at elevated temperature
journal, May 2021
- Musinski, William D.; Shade, Paul A.; Pagan, Darren C.
- Materialia, Vol. 16
Microstructure and property based statistically equivalent RVEs for polycrystalline-polyphase aluminum alloys
journal, April 2019
- Tu, Xiaohui; Shahba, Ahmad; Shen, Jinlei
- International Journal of Plasticity, Vol. 115
Microstructure-sensitive extreme value probabilities for high cycle fatigue of Ni-base superalloy IN100
journal, March 2010
- Przybyla, Craig P.; McDowell, David L.
- International Journal of Plasticity, Vol. 26, Issue 3
A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part 2: Synthetic structure generation☆
journal, April 2008
- Groeber, M.
- Acta Materialia, Vol. 56, Issue 6
Crystal plasticity FE study of the effect of thermo-mechanical loading on fatigue crack nucleation in titanium alloys: Crystal Plasticity FE Study
journal, February 2016
- Ozturk, D.; Shahba, A.; Ghosh, S.
- Fatigue & Fracture of Engineering Materials & Structures, Vol. 39, Issue 6
Examining metrics for fatigue life predictions of additively manufactured IN718 via crystal plasticity modeling including the role of simulation volume and microstructural constraints
journal, May 2020
- Prithivirajan, Veerappan; Sangid, Michael D.
- Materials Science and Engineering: A, Vol. 783
A framework for automated analysis and simulation of 3D polycrystalline microstructures.Part 1: Statistical characterization
journal, April 2008
- Groeber, M.
- Acta Materialia, Vol. 56, Issue 6
Neighborhood influences on stress and strain partitioning in dual-phase microstructures: An investigation on synthetic polycrystals with a robust spectral-based numerical method
journal, October 2015
- Diehl, Martin; Shanthraj, Pratheek; Eisenlohr, Philip
- Meccanica, Vol. 51, Issue 2
A strain gradient crystal plasticity analysis of grain size effects in polycrystals
journal, March 2007
- Borg, Ulrik
- European Journal of Mechanics - A/Solids, Vol. 26, Issue 2
Uncertainty-quantified parametrically homogenized constitutive models (UQ-PHCMs) for dual-phase α/β titanium alloys
journal, August 2020
- Kotha, Shravan; Ozturk, Deniz; Ghosh, Somnath
- npj Computational Materials, Vol. 6, Issue 1
Polycrystal modelling of fatigue: Pre-hardening and surface roughness effects on damage initiation for 304L stainless steel
journal, December 2012
- Le Pécheur, A.; Curtit, F.; Clavel, M.
- International Journal of Fatigue, Vol. 45
Polycrystalline microstructure, cubic elasticity, and nucleation of high-cycle fatigue cracks
journal, October 2006
- Sauzay, Maxime; Jourdan, Thomas
- International Journal of Fracture, Vol. 141, Issue 3-4
Crystal Plasticity Finite Element Modeling of Extension Twinning in WE43 Mg Alloys: Calibration and Validation
journal, September 2021
- Yaghoobi, Mohammadreza; Chen, Zhe; Sundararaghavan, Veera
- Integrating Materials and Manufacturing Innovation, Vol. 10, Issue 3
PRISMS-Fatigue computational framework for fatigue analysis in polycrystalline metals and alloys
journal, March 2021
- Yaghoobi, Mohammadreza; Stopka, Krzysztof S.; Lakshmanan, Aaditya
- npj Computational Materials, Vol. 7, Issue 1
PRISMS: An Integrated, Open-Source Framework for Accelerating Predictive Structural Materials Science
journal, August 2018
- Aagesen, L. K.; Adams, J. F.; Allison, J. E.
- JOM, Vol. 70, Issue 10
The effects of heat treatment on the response of WE43 Mg alloy: crystal plasticity finite element simulation and SEM-DIC experiment
journal, February 2021
- Ganesan, Sriram; Yaghoobi, Mohammadreza; Githens, Alan
- International Journal of Plasticity, Vol. 137